[0001] The present invention relates to an interstand tension controller for controlling
the interstand tension of a workpiece being rolled on a continuous rolling mill having
a plurality of rolling stands and provided with a looper between the adjacent rolling
stands and, more specifically, to an interstand tension controller suitable for application
to a hot finishing mill, and capable of satisfactorily carrying out interstand tension
control operation without being disturbed by interaction between the tension of the
workpiece and the looping angle, having a simple configuration and capable of being
easily adjusted.
[0002] A hot finishing mill has rolling stands and is provided with a looper disposed between
the adjacent rolling stands to stabilize the interstand tension of the workpiece.
It is important for carrying out stable rolling operation to stabilize the tension
of the workpiece that affects directly the size and the shape of the workpiece by
the looper and to suppress the variation of looping angle. Two manipulated variables,
i.e., the rotating speed of the rolls of the rolling stand and the looping torque,
are controlled to regulate the tension of the workpiece and the looping angle. As
shown in Fig. 1, a most common interstand tension controller controls looping angle
θ by regulating the rotating speed of the rolls of an upper rolling stand i or that
of the rolls of a lower rolling stand i+1 and regulates the looping torque according
to the variation of the looping angle θ to adjust the tension σ to a desired value.
The tension control performance of this interstand tension controller, however, is
not satisfactory because the tension is controlled in an open-loop control mode. Tension
and looping angle interact with each other, namely, the variation of tension entails
the variation of looping angle, and vice versa. Being unable to deal with interaction
between the tension and the looping angle, the conventional interstand tension controller
is unable to stabilize the looping angle.
[0003] A controller disclosed in Japanese Patent Laid-open No. 59-110410 measures the tension
of the workpiece with a load cell or the like installed in a looper, regulates the
rotating speed of the rolls of the rolling stand, i.e., a manipulated variable, to
regulate the tension by a feedback loop, and regulates the looping torque or the looping
speed, i.e., a manipulated variable, to regulate the looping angle by another feedback
loop.
[0004] Another controller places a precompensator C, which generally is called a cross controller,
before a looper characteristic block G that indicates looper characteristics as shown
in Fig. 2 to offset the interaction between the tension and the looping angle by the
synergetic effect of the precompensator C and the looper characteristic block G.
[0005] Integrating optimum regulators disclosed in Japanese Patent Laid-open Nos. 59-118213
and 59-118214 control the operating speed of a looper driving motor, and use, in combination,
a feedback operation for feeding back measurable values, i.e., tension, looping angle
and operating speed of the looper driving motor, and a main controller that carries
out integration to optimize a P-gain index of performance and an I-gain index of performance
in a time domain. To obtain a desired control response by this integrating optimum
regulator, an optimum control gain must be determined by setting a weighting matrix
for a quadratic evaluation function by a trial-and-error method. A previously proposed
H-infinity controller is an improvement of the integrating optimum regulator and specifies
closed-loop response in a frequency domain to facilitate the design.
[0006] However, since the noninteractive interstand tension controller sets an inverse model
of a controlled system in the cross controller, the noninteractive interstand tension
controller is unable to deal with variations in the characteristics of the controlled
system satisfactorily and is incapable of offsetting the effect of a disturbance,
such as the variation of the rolling speed.
[0007] The integrating optimum regulator and the H-infinity control are difficult to adjust
at the site because the integrating optimum regulator and the H-infinity control need
a controller having a complicated configuration, an evaluation function must be determined
and the parameters of the controller must be designed so as to optimize the evaluation
function.
[0008] The present invention has been made in view of the foregoing problems in the conventional
controller and it is therefore a first object of the present invention to provide
an interstand tension controller to be used in combination with a continuous rolling
mill having a plurality of rolling stands and provided with a looper between the adjacent
rolling stands, for controlling the interstand tension of a workpiece being rolled
on the continuous rolling mill and for controlling the looper, capable of satisfactorily
controlling the interstand tension of the workpiece and the looper without being influenced
by interaction between the interstand tension and the looping angle, and having a
simple configuration capable of being easily adjusted.
[0009] A second object of the present invention is to provide an interstand tension controller
for a continuous rolling mill having a plurality of rolling stands and provided with
a looper between the adjacent rolling stands, for controlling the interstand tension
of a workpiece being rolled on the continuous rolling mill and for controlling the
looper, capable of enhancing the stability of the interstand tension and the looping
angle without completely nullifying the effect of interactions between the interstand
tension and the looping angle.
[0010] A third object of the present invention is to provide a control system for controlling
the interstand tension of a workpiece being rolled on a continuous rolling mill, and
the looper of the continuous rolling mill, resistant to disturbances and the variation
of the characteristics of the controlled object in integrating optimum regulation
and H-infinity control where many feedback loops are used.
[0011] In a first aspect of the present invention, an interstand tension controller for
a continuous rolling mill having a plurality of rolling stands and provided with a
looper between the adjacent rolling stands comprises:
a first feedback loop that measures or estimates the interstand tension of the workpiece,
calculates a rotating speed command specifying a desired rotating speed for the rolls
of the rolling stand on the basis of the difference between a desired interstand tension,
and a measured or estimated working interstand tension, and corrects the rotating
speed command;
a second feedback loop that measures the looping angle, calculates a looping torque
command specifying a desired looping torque or a looping speed command specifying
a desired looping speed on the basis of the difference between the measured looping
angle and a desired looping angle;
a first disturbance compensator that estimates a disturbance acting on the first feedback
loop on the basis of the difference between an estimated tension obtained by applying
a sum of the rotating speed command calculated by the first feedback loop and a rotating
speed correction calculated by the first disturbance compensator to a model that receives
the rotating speed command specifying a rotating speed for the rolls of the rolling
stand and provides an interstand tension, and the measured or estimated working tension,
and calculates the rotating speed correction for the rolls to offset the estimated
disturbance; and
a second disturbance compensator that estimates a disturbance acting on the second
feedback loop on the basis of the difference between an estimated looping angle obtained
by applying a sum of the looping torque command or the looping speed command calculated
by the second feedback loop and a looping torque correction or a looping speed correction
calculated by the second disturbance compensator to a model that receives the looping
torque command or the looping speed command and provides a looping angle, and a measured
looping angle, and calculates the looping torque correction or the looping speed correction
to offset the estimated disturbance;
whereby the rotating speed of the rolls is controlled on the basis of a value obtained
by adding the correction calculated by the first disturbance compensator to the rotating
speed command provided by the first feedback loop, and the looping torque or the looping
speed is controlled on the basis of a value obtained by adding the correction calculated
by the second disturbance compensator to the looping torque command or looping speed
command provided by the second feedback loop. The first object of the invention can
be achieved by this interstand tension controller.
[0012] In a second aspect of the present invention, an interstand tension controller for
a continuous rolling mill having a plurality of rolling stands and provided with a
looper between the adjacent rolling stands comprises:
a first feedback loop that measures or estimates the interstand tension of the workpiece,
calculates a rotating speed command specifying a desired rotating speed for the rolls
of the rolling stand on the basis of the difference between a desired interstand tension,
and a measured or estimated working interstand tension, and corrects the rotating
speed commands;
a second feedback loop that measures the looping angle, calculates a looping torque
command specifying a desired looping torque or a looping speed command specifying
a desired looping speed on the basis of the difference between the measured looping
angle and a desired looping angle;
a first disturbance compensator that estimates a disturbance acting on the first feedback
loop on the basis of the difference between an estimated tension obtained by applying
a sum of the rotating speed command calculated by the first feedback loop and a rotating
speed correction calculated by the first disturbance compensator to a model that receives
the rotating speed command and provides the interstand tension, and the measured or
estimated working interstand tension, and calculates the rotating speed correction
to offset the estimated disturbance; and
a second disturbance compensator that estimates a disturbance acting on the second
feedback loop on the basis of the difference between an estimated looping speed obtained
by applying a sum of the looping torque command or the looping speed command calculated
by the second feedback loop and a looping torque correction or a looping speed correction
calculated by the second disturbance compensator to a model that receives the looping
torque command or the looping speed command and provides a looping speed, and a measured
looping speed, and calculates the looping torque correction or the looping speed correction
to offset the estimated disturbance;
whereby the rotating speed of the rolls is controlled on the basis of a value obtained
by adding the correction calculated by the first disturbance compensator to the rotating
speed command provided by the first feedback loop, and the looping torque or the looping
speed is controlled on the basis of a value obtained by adding the correction calculated
by the second disturbance compensator to the looping torque command or the looping
speed command provided by the second feedback loop. The first object of the invention
can be achieved by this interstand tension controller.
[0013] In a third aspect of the present invention, an interstand tension controller for
a continuous rolling mill having a plurality of rolling stands and provided with a
looper between the adjacent rolling stands comprises:
a first feedback loop that measures or estimates the interstand tension of the workpiece,
calculates a rotating speed command specifying a desired rotating speed for the rolls
of the rolling stand on the basis of the difference between a desired interstand tension,
and a measured or estimated working interstand tension, and corrects the rotating
speed command;
a second feedback loop that measures the looping angle, calculates a looping torque
command or a looping speed command on the basis of the difference between a measured
looping angle and a desired looping angle, and corrects the looping torque command
or the looping speed command;
a first disturbance compensator that estimates a disturbance acting on the first feedback
loop on the basis of the difference between an estimated tension obtained by applying
the looping speed and a sum of the rotating speed command calculated by the first
feedback loop and a rotating speed correction calculated by the first disturbance
compensator to a model that receives the rotating speed command and the looping speed
and provides an interstand tension, and the measured or estimated working interstand
tension, and calculates the rotating speed correction to offset the estimated disturbance;
and
a second disturbance compensator that estimates a disturbance acting on the second
feedback loop on the basis of an estimated looping angle obtained by applying a sum
of the looping torque command or the looping speed command calculated by the second
feedback loop and a looping torque correction or a looping speed correction calculated
by the second disturbance compensator to a model that receives the looping torque
command or the looping speed command and provides a looping angle, and the measured
looping angle, and calculates the looping torque correction or the looping speed correction
to offset the disturbance;
whereby the rotating speed of the rolls is controlled on the basis of a value obtained
by adding the correction calculated by the first disturbance compensator to the rotating
speed command provided by the first feedback loop, and the looping torque or the looping
speed is controlled on the basis of a value obtained by adding the correction calculated
by the second disturbance compensator to the looping torque command or the looping
speed command provided by the second feedback loop. The second object of the invention
can be achieved by this interstand tension controller.
[0014] In a fourth aspect of the present invention, an interstand tension controller for
a continuous rolling mill having a plurality of rolling stands and provided with a
looper between the adjacent rolling stands comprises:
a first feedback loop that measures or estimates the interstand tension of the workpiece,
and calculates a rotating speed command for the rolls of the rolling stand on the
basis of the difference between a desired interstand tension and the measured or estimated
working interstand tension;
a second feedback loop that measures the looping angle, calculates a looping torque
command or a looping speed command on the basis of the difference between the measured
looping angle and a desired looping angle, and corrects the looping torque command
or the looping speed command;
a first disturbance compensator that estimates a disturbance acting on the first feedback
loop on the basis of the difference between an estimated tension obtained by applying
the looping speed command and a sum of the rotating speed calculated by the first
feedback loop and a rotating speed correction calculated by the first disturbance
compensator to a model that receives the rotating speed command and the looping speed
and provides the interstand tension, and the measured or estimated working interstand
tension, and calculates the rotating speed correction to offset the estimated disturbance;
and
a second disturbance compensator that estimates a disturbance acting on the second
feedback loop on the basis of the difference between an estimated looping speed obtained
by applying a sum of the looping torque command or the looping speed command calculated
by the second feedback loop and a looping torque correction or a looping speed correction
calculated by the second disturbance compensator to a model that receives the looping
torque command or the looping speed command and provides a looping speed, and a measured
looping speed, and calculates the looping torque correction or the looping speed correction
to offset the disturbance;
whereby the rotating speed of the rolls of the rolling stand is controlled on the
basis of a value obtained by adding the correction calculated by the first disturbance
compensator to the rotating speed command provided by the first feedback loop, and
the looping torque or the looping speed is controlled on the basis of a value obtained
by adding the correction calculated by the second disturbance compensator to the looping
torque command or the looping speed command provided by the second feedback loop.
The second object of the invention can be achieved by this interstand tension controller.
[0015] In a fifth aspect of the present invention, an interstand tension controller for
a continuous rolling mill having a plurality of rolling stands and provided with a
looper between the adjacent rolling stands comprises:
a feedback loop that calculates a rotating speed command specifying a desired rotating
speed of the rolls of the rolling stand, and a looping torque command or a looping
speed command on the basis of a measured or estimated interstand tension of the workpiece
between the rolling stands, the deviation of the measured or estimated interstand
tension from a desired interstand tension, a measured looping angle, the deviation
of the measured looping angle from a desired looping angle, a measured rotating speed
of the rolls of the rolling stand, and a measured looping speed, and corrects the
rotating speed of the rolls of the rolling stand, and the looping torque or the looping
speed;
a first disturbance compensator that estimates a disturbance acting on the feedback
loop on the basis of the difference between an estimated interstand tension obtained
by applying the sum of the rotating speed command calculated by the feedback loop
and a rotating speed correction calculated by the first disturbance compensator, and
the measured looping speed to a model that receives the rotating speed command and
provides an interstand tension of the workpiece, and the measured or estimated interstand
tension, and calculates the rotating speed correction to offset the disturbance; and
a second disturbance compensator that estimates a disturbance acting on the feedback
loop on the basis of the difference between an estimated looping angle obtained by
applying the sum of the looping torque command or the looping speed command calculated
by the feedback loop and a looping torque correction calculated by the second disturbance
compensator and the measured or estimated interstand tension to a model that receives
the looping torque command or the looping speed command and provides a looping angle,
and the measured looping angle, and calculates the looping torque correction or a
looping speed correction to offset the disturbance;
whereby the rotating speed of the rolls of the rolling stand is controlled on the
basis of the sum of the rotating speed command calculated by the feedback loop and
the rotating speed correction calculated by the first disturbance compensator, and
the looping torque or the looping speed is controlled on the basis of the sum of the
looping torque command or the looping speed command calculated by the feedback loop
and the looping torque correction or the looping speed correction calculated by the
second disturbance compensator. The third object of the present invention can be achieved
by this interstand tension controller.
[0016] In a sixth aspect of the present invention, an interstand tension controller for
a continuous rolling mill having a plurality of rolling stands and provided with a
looper between the adjacent rolling stands comprises:
a feedback loop that calculates a rotating speed command specifying a desired rotating
speed of the rolls of the rolling stand, and a looping torque command or a looping
speed command on the basis of a measured or estimated interstand tension of the workpiece
between the rolling stands, the deviation of the measured or estimated interstand
tension from a desired interstand tension, a measured looping angle, the deviation
of the measured looping angle from a desired looping angle, the measured rotating
speed of the rolls of the rolling stand, and the measured looping speed, and corrects
the rotating speed, and the looping torque or the looping speed;
a first disturbance compensator that estimates a disturbance acting on the feedback
loop on the basis of the difference between an estimated interstand tension obtained
by applying the sum of the rotating speed command calculated by the feedback loop
and a rotating speed correction calculated by the first disturbance compensator, and
the measured looping speed to a model that receives the rotating speed command and
provides the interstand tension of the workpiece between the rolling stands, and the
measured or estimated interstand tension, and calculates a rotating speed correction
to offset the estimated disturbance; and
a second disturbance compensator that estimates a disturbance acting on the feedback
loop on the basis of the difference between an estimated looping speed obtained by
applying the sum of the looping torque command or the looping speed command calculated
by the feedback loop and a looping speed correction calculated by the second disturbance
compensator, and the measured or estimated interstand tension to a model that receives
the looping torque command or the looping speed command and provides a looping speed,
and the measured looping speed, and calculates the looping speed correction to offset
the disturbance;
whereby the rotating speed is controlled on the basis of the sum of the rotating speed
command calculated by the feedback loop and the rotating speed correction calculated
by the first disturbance compensator, and the looping torque or the looping speed
is controlled on the basis of the sum of the looping torque command or the looping
speed command calculated by the feedback loop and the looping torque correction or
the looping speed correction calculated by the second disturbance compensator. The
third object of the present invention can be achieved by this interstand tension controller.
[0017] In a seventh aspect of the invention, a method of controlling the interstand tension
of a workpiece being rolled on a continuous rolling mill having a plurality of rolling
stands and provided with a looper between the adjacent rolling stands by regulating
the rotating speed of the rolls of the rolling stand so that the interstand tension
of the workpiece coincides with a desired interstand tension and controlling the looping
angle by regulating the looping torque or the looping speed of the looper so that
the looping angle coincides with a desired looping angle comprises the steps of:
estimating a disturbance acting on a first controlled system, in which the rotating
speed of the rolls is a manipulated variable and the interstand tension is a controlled
variable, on the basis of the difference between an estimated interstand tension obtained
by applying a rotating speed command to a model that receives the rotating speed command
and provides an interstand tension, and a measured or estimated working interstand
tension;
calculating a rotating speed command to offset the estimated disturbance;
regulating the rotating speed according to the calculated rotating speed command;
estimating a disturbance acting on a second controlled system, in which the looping
torque or the looping speed is a manipulated variable and looping angle is a controlled
variable, on the basis of the difference between an estimated looping angle obtained
by applying a looping torque command or a looping speed command to a model that receives
the looping torque command or the looping speed command and provides a looping angle,
and a measured looping angle;
calculating a looping torque command or a looping speed command to offset the estimated
disturbance; and
regulating the looping torque or the looping speed according to the calculated looping
torque command or the calculated looping speed command. The first object of the invention
can be achieved by this method of controlling the interstand tension.
[0018] In an eighth aspect of the present invention, a method of controlling the interstand
tension of a workpiece being rolled on a continuous rolling mill having a plurality
of rolling stands and provided with a looper between the adjacent rolling stands by
regulating the rotating speed of the rolls of the rolling stand so that the interstand
tension of the workpiece coincide with a desired interstand tension and controlling
the looping angle by regulating the looping torque or the looping speed of the looper
so that the looping angle coincides with a desired looping angle comprises the steps
of:
estimating a disturbance acting on a first controlled system, in which the rotating
speed of the rolls is a manipulated variable and the interstand tension is a controlled
variable, on the basis of the difference between an estimated interstand tension obtained
by applying a rotating speed command to a model that receives a rotating speed command
and provides an interstand tension, and a measured or estimated working interstand
tension;
calculating a rotating speed command to offset the disturbance;
regulating the rotating speed of the rolls according to the calculated rotating speed
command;
estimating a disturbance acting on a second controlled system, in which the looping
torque or the looping speed is a manipulated variable and the looping angle is a controlled
variable, on the basis of the difference between an estimated looping speed obtained
by applying a looping torque command or a looping speed command to a model that receives
the looping torque command or the looping speed command and provides a looping speed,
and a measured looping speed;
calculating a looping torque command or a looping speed command to offset the disturbance;
and
regulating the looping torque or the looping speed according to the calculated looping
torque command or the calculated looping speed command. The first object of the invention
can be achieved by this method of controlling the interstand tension.
[0019] In a ninth aspect of the present invention, a method of controlling the interstand
tension of a workpiece being rolled on a continuous rolling mill having a plurality
of rolling stands and provided with a looper between the adjacent rolling stands by
regulating the rotating speed of the rolls of the rolling stand so that the interstand
tension of the workpiece coincides with a desired interstand tension and controlling
the looping angle by regulating the looping torque or the looping speed of the looper
so that the looping angle coincides with a looping angle comprises the steps of:
estimating a disturbance acting on a first controlled system, in which the rotating
speed of the rolls is a manipulated variable and the interstand tension is a controlled
variable, on the basis of the difference between an estimated interstand tension obtained
by applying a rotating speed command and a looping speed to a model that receives
the rotating speed command and the looping speed and provides an interstand tension,
and a measured or estimated working interstand tension;
calculating a rotating speed command to offset the disturbance;
regulating the rotating speed according to the calculated rotating speed command;
estimating a disturbance acting on a second controlled system, in which the looping
torque or the looping speed is a manipulated variable and the looping angle is a controlled
variable, on the basis of the difference between an estimated looping angle obtained
by applying a looping torque command or a looping speed command to a model that receives
the looping torque command or the looping speed command and provides a looping angle,
and a measured looping angle;
calculating a looping torque command or a looping speed command to offset the disturbance;
and
regulating the looping torque or the looping speed according to the calculated looping
torque command or the calculated looping speed command. The second object of the invention
can be achieved by this method of controlling the interstand tension.
[0020] In a tenth aspect of the present invention, a method of controlling the interstand
tension of a workpiece being rolled on a continuous rolling mill having a plurality
of rolling stands and provided with a looper between the adjacent rolling stands by
regulating the rotating speed of the rolls of the rolling stand so that the interstand
tension of the workpiece coincides with a desired interstand tension and controlling
the looping angle by regulating the looping torque or the looping speed of the looper
so that the looping angle coincides with a desired looping angle comprises the steps
of:
estimating a disturbance acting on a first controlled system, in which the rotating
speed of the rolls is a manipulated variable and the interstand tension is a controlled
variable, on the basis of the difference between an estimated interstand tension obtained
by applying a rotating speed command and a looping speed to a model that receives
the rotating speed command and the looping speed and provides an interstand tension,
and a measured or estimated working interstand tension of the workpiece;
calculating a rotating speed command to offset the disturbance;
controlling the rotating speed of the rolls according to the calculated rotating speed
command;
estimating a disturbance acting on a second controlled system, in which the looping
torque or the looping speed is a manipulated variable and the looping angle is a controlled
variable, on the basis of the difference between an estimated looping speed obtained
by applying a looping torque command or a looping speed command to a model that receives
the looping torque command or the looping speed command and provides a looping speed,
and a measured looping speed;
calculating a looping torque command or a looping speed command to offset the disturbance;
and
regulating the looping torque or the looping speed according to the calculated looping
torque command or the calculated looping speed command. The second object of the invention
can be achieved by this method of controlling the interstand tension.
[0021] As shown in Figs. 3 and 4, each of the interstand tension controllers in the first
to the fourth aspect of the present invention, similarly to a conventional noninteractive
interstand tension controller, comprises the first feedback loop that measures or
estimates the interstand tension of the workpiece, calculates a rotating speed command
specifying a desired rotating speed of the rolls of the roll stand on the basis of
the difference between a desired interstand tension and the measured or estimated
working interstand tension, and corrects the rotating speed of the rolls, and a second
feedback loop that measures the looping angle, calculates a looping torque command
or a looping speed command on the basis of the difference between the measured looping
angle and a desired looping angle and corrects the looping torque or the looping speed.
[0022] The interstand tension controllers in the first to the fourth aspect of the present
invention differ from the conventional noninteractive interstand tension controller
in that the two disturbance compensators estimate a disturbance acting on the two
feedback loops and add signals capable of offsetting the disturbance to the signals
provided by the feedback loops. The disturbance includes an equivalent disturbance
such as the variation of the characteristics of the controlled system resulting from
the variation of parameters such as the Young' s modulus of the workpiece, in addition
to the influence of interaction between the feedback loops, and the variation of the
rolling speed due to the variation of the thickness or the temperature of the workpiece.
[0023] In the interstand tension controllers in the first to the fourth aspect of the present
invention, interactions between the two feedback loops are compensated by the disturbance
offsetting signals provided by the two disturbance compensators and the two feedback
loops can individually be designed. Therefore, the interstand tension controllers
can easily be designed and is highly resistant to disturbances, such as the variation
of the rolling speed, and the variation of the characteristics of the controlled system.
[0024] In the interstand tension controller in the fifth and the sixth aspect of the present
invention, when there is a feedback loop which receives a plurality of measurable
quantities as shown in Figs. 5 and 6, the two disturbance compensators estimate the
disturbances acting on the feedback loop, and add correction signals to offset the
disturbances to signals calculated by a feedback control system. When such a feedback
loop that receives a plurality of measurable quantities is included, the interference
between the tension and the looping angle need not be offset by the corrections provided
by the disturbance compensators because the interference between the tension and the
looping angle is controlled by the feedback loop. Therefore, the looping speed is
applied to the model that receives the rotating speed command and provides the interstand
tension of the workpiece, and the measured tension is applied to the model that receives
the looping torque command or the looping speed command and provides the looping speed
so that the disturbance compensators will not provide any corrections to offset the
interference. Accordingly, the disturbances, here, include variation of the rolling
speed due to the variation of the thickness and the temperature of the workpiece,
and the variation of the characteristics of the controlled system resulting from the
variation of parameters, such as the variation of the Young's modulus of the workpiece.
[0025] Even if there is a feedback loop that receives a plurality of measurable quantities
as in the fifth and the sixth aspect of the present invention, a control system is
resistant to the disturbances and the variation of the characteristics of the controlled
system by using the two disturbance compensators.
[0026] The second disturbance compensator of the interstand tension controller in the first
aspect of the present invention shown in Fig. 3 uses the estimated looping angle obtained
by applying the sum of the looping torque command or the looping speed command calculated
by the second feedback loop and the correction calculated by the second disturbance
compensator to the model that receives the looping torque command or the looping speed
command and provides a looping angle, and the measured looping angle for estimate
the disturbance acting on the second feedback loop. On the other hand, the interstand
tension controller in the second aspect of the present invention shown in Fig. 4 uses
the estimated looping speed and the measured looping speed for estimating the disturbance
acting on the second feedback loop; that is the model of the looper and the disturbance
compensators of the interstand tension controller in the first aspect of the present
invention are modified by using an expression:

where θ is the looping angle and ω is the looping speed. Accordingly, although the
interstand tension controllers in the first and the second aspect of the present invention
are the same in function, the configuration of the interstand tension controller in
the second aspect of the present invention is more simple than that of the interstand
tension controller in the first aspect of the present invention, and the order of
the model of the looper and the filter of the interstand tension controller in the
second aspect of the present invention is lower than that of the same of the interstand
tension controller in the first aspect of the present invention.
[0027] The relation between the third and the fourth aspect of the present invention and
the relation between the fifth and the sixth aspect of the present invention are the
same as the relation between the first and the second aspect of the present invention.
[0028] In the first to the fourth aspect of the present invention, the feedback loop for
controlling the interstand tension through the control of the rotating speed of the
rolls of the rolling stand and the feedback loop for controlling the looping angle
through the control of the looping torque or the looping speed are used for adjusting
the two controlled variables of the interstand tension of the workpiece and the looper
to the corresponding desired values, interactions between the two feedback loops are
compensated by the disturbance compensating signals provided by the two disturbance
compensators, and the two feedback loops can individually be designed. Therefore,
the interstand tension controller can easily be designed and is highly resistant to
disturbances, such as the variation of the rolling speed and the variation of the
characteristics of the controlled system. Further, even if there is a feedback loop
that receives a plurality of measurable quantities as in the fifth and the sixth aspect
of the present invention, a control system is resistant to the disturbances and the
variation of the characteristics of the controlled system by using the two disturbance
compensators. Consequently, the workpiece can be rolled in a satisfactory shape and
correct dimensions, and the rolling operation can be stabilized.
[0029] The methods of controlling the interstand tension of a workpiece being rolled on
a continuous rolling mill in the seventh to the tenth aspect of the present invention
regulate the rotating speed of the rolls of the rolling stand to adjust the interstand
tension of the workpiece to a desired interstand tension, and regulates the looping
torque or the looping speed to adjust the looping angle to a desired looping angle
as shown in Figs. 7 and 8. In this control operation, a disturbance acting on the
controlled system, in which the rotating speed is a manipulated variable and the interstand
tension is a controlled variable, is estimated on the basis of the difference between
an estimated interstand tension obtained by applying a rotating speed command to the
model that receives the rotating speed command and provides the interstand tension
of the workpiece, and the measured or estimated working interstand tension of the
workpiece, a rotating speed command to offset the disturbance is calculated and the
rotating speed of the rolls is regulated according to the calculated rotating speed
command.
[0030] In the seventh aspect of the present invention, as shown in Fig. 7, a disturbance
acting on the controlled system, in which the looping torque or the looping speed
is a manipulated variable and the looping angle is a controlled variable, is estimated
on the basis of the difference between an estimated looping angle obtained by applying
a looping torque command or a looping speed command to a model that receives the looping
torque or the looping speed and provides an interstand tension, and a measured looping
angle, a looping torque command or a looping speed command capable of offsetting the
disturbance is calculated, and the looping torque or the looping speed is regulated
according to the calculated looping torque or the calculated looping speed.
[0031] As mentioned above, the interstand tension and the looping angle interact with each
other. In the seventh to the tenth aspect of the present invention, the interactive
components are regarded as a disturbance acting on the two control loops, the disturbance
is estimated on the basis of the difference between the respective outputs of the
control loops and the models arranged in parallel to the controlled systems, respectively,
and a signal capable of offsetting the disturbance is calculated and used as commands
for regulating the manipulated variables. Thus, the disturbance acting on the control
loops is offset and the control operation can stably be carried out. The disturbance
includes an equivalent disturbance, variations in the characteristics of the controlled
systems resulting from the variation of parameters such as the Young's modulus of
the workpiece in addition to the variation of the rolling speed due to the variation
of the thickness or the temperature of the workpiece. These disturbances can be suppressed
by the methods in the seventh to the tenth aspect of the present invention. Thus,
the interstand tension controllers in the seventh to the tenth aspect of the present
invention regard interaction between the two control loops as a disturbance, estimate
the same, and compensate for the same to enable the two control loops to be designed
individually. Accordingly, the two feedback loops can easily be designed, and the
controller is highly resistant to disturbances including the variation of the rolling
speed, and the variation of the characteristics of the controlled systems.
[0032] In the eighth aspect of the present invention, as shown in Fig. 8, a disturbance
acting on the controlled system, in which the looping torque or the looping speed
is a manipulated variable and the looping angle is a controlled variable, is estimated
on the basis of the difference between an estimated looping speed obtained by applying
a looping torque command or a looping speed command to a model that receives the looping
torque command or the looping speed command and provides a looping speed, and a measured
looping speed, a looping torque command or a looping speed command capable of offsetting
the disturbance is calculated, and the looping torque or the looping speed is regulated
according to the calculated looping torque command or the calculated looping speed
command. In the eighth aspect of the present invention, the estimated looping speed
and the measured looping speed are used to estimate the disturbance acting on the
controlled system, in which the looping torque or the looping speed is a manipulated
variable and the looping angle is a controlled variable; that is, the model of the
looper system and the filter in the seventh aspect of the present invention are modified
by using expression (1). Accordingly, although the interstand tension controllers
in the seventh and the eighth aspect of the present invention are the same in function,
the configuration of the interstand tension controller in the eighth aspect of the
present invention is more simple than that of the controller in the seventh aspect
of the present invention, and the order of the model of the looper and the filter
in the eighth aspect of the present invention is lower than that of the same in the
seventh aspect of the present invention, and hence the configuration of the interstand
tension controller is simple.
[0033] As is obvious from Fig. 8, the method in the eighth aspect of the present invention
regulates the looping speed at zero to maintain a looping angle constant and does
not use any desired looping angle. However, the desired looping angle is not changed
actually and it is sufficient to maintain a constant looping angle in practice.
[0034] According to the seventh to the tenth aspect of the present invention, in a continuous
rolling mill having a plurality of rolling stands and provided with a looper between
the adjacent rolling stands, the first control loop controls the interstand tension
through the regulation of the rotating speed of the rolls of the rolling stand and
the second control loop controls the looping angle through the regulation of the looping
torque or the looping speed to regulate the two controlled variables of the interstand
tension of the workpiece and the looper at corresponding desired values, interaction
between the two control loops is estimated as a disturbance, and the manipulated variables
are regulated so as to offset the disturbance to compensate for the interaction between
the two control loops. Accordingly, the two control loops can individually be designed,
the design of the control loops is facilitated, and the interstand tension controller
is highly resistant to disturbances such as the variation of the rolling speed, and
the variation of the characteristics of the controlled system. Consequently, the workpiece
can be rolled in a satisfactory shape and satisfactory dimensions and the rolling
operation can stably be carried out.
[0035] While only the sum of the rotating speed command calculated by the first feedback
loop and the correction calculated by the first disturbance compensator is applied
to the model that provides the interstand tension of the workpiece in the first and
the second aspect of the present invention, in the third and the fourth aspect of
the present invention, the looping speed, too, is applied to the model. Further, while
only the rotating speed command specifying a rotating speed of the rolls of the rolling
stand is applied to the model in the fifth and the sixth aspect of the present invention,
in the seventh and the eighth aspect of the present invention, the looping speed,
too, is applied to the model.
[0036] Although the interstand tension and the looping angle interact with each other as
mentioned above, the looper operates to absorb variations in the interstand tension
when the interstand tension varies. Therefore, the range of variation of the interstand
tension when the effect of interactions between the interstand tension and the looping
angle is not completely removed is narrower than that when the effect of interactions
is completely removed and the looping angle varies in a comparatively narrow range
if the interstand tension and the looping angle interact properly with each other.
That is, the stability of the interstand tension and the operation of the looper is
enhanced by allowing appropriate interaction between the interstand tension and the
looping angle instead of completely removing the effect of interaction between the
interstand tension and the looping angle. In the third, the fourth, the seventh and
the eighth aspect of the present invention, the looping speed is applied to the model
that provides the interstand tension of the workpiece to adjust offsetting the interactions.
When the effect of some of the interactions between the interstand tension and the
operation of the looper is left unremoved, the stability of the interstand tension
and the operation of the looper will further be enhanced.
[0037] These and other novel features and advantages of the present invention will become
more apparent form the following detailed description of the preferred embodiments.
[0038] The preferred embodiments will be described with reference to the accompanying drawings,
wherein:
Fig. 1 is a block diagram of a conventional looper controller;
Fig. 2 is a block diagram of a conventional noninteractive looper controller;
Fig. 3 is a block diagram showing the fundamental configuration of an interstand tension
controller in a first aspect of the present invention;
Fig. 4 is a block diagram showing the fundamental configuration of an interstand tension
controller in a second aspect of the present invention;
Fig. 5 is block diagram showing the fundamental configuration of the interstand tension
controller in the fifth aspect of the present invention;
Fig. 6 is a block diagram showing the fundamental configuration of the interstand
tension controller in the sixth aspect of the present invention;
Fig. 7 is block diagram showing the fundamental configuration of the interstand tension
controller in the seventh aspect of the present invention;
Fig. 8 is a block diagram showing the fundamental configuration of the interstand
tension controller in the eighth aspect of the present invention;
Fig. 9 is a block diagram of an interstand tension controller in a first embodiment
according to the first aspect of the present invention as applied to hot rolling;
Fig. 10 is a block diagram of an interstand tension controller in a second embodiment
according to the first aspect of the present invention;
Fig. 11 is a block diagram of a model of a looper tension control system included
in the foregoing embodiments;
Fig. 12 is a block diagram of an interstand tension controller in a third embodiment
according to the second aspect of the present invention as applied to hot rolling;
Fig. 13 is a block diagram of an interstand tension controller in a fourth embodiment
according to the second aspect of the present invention;
Fig. 14 is a graph showing the tension regulating effect of a conventional noninteractive
interstand tension controller;
Fig. 15 is a graph showing the looping angle regulating effect of the conventional
noninteractive interstand tension controller;
Fig. 16 is a graph showing the tension regulating effects of the interstand tension
controllers in the first to the fourth embodiment of the present invention;
Fig. 17 is a graph showing the looping angle regulating effects of the interstand
tension controllers in the first to the fourth embodiment of the present invention;
Fig. 18 is a block diagram of an interstand tension controller in a fifth embodiment
according to a third aspect of the present invention;
Fig. 19 is a block diagram of an interstand tension controller in a sixth embodiment
according to the third aspect of the present invention;
Fig. 20 is a graph showing the tension regulating effects of the interstand tension
controller in the fifth and sixth embodiment of the present invention;
Fig. 21 is a graph showing the looping angle regulating effects of the interstand
tension controller in the fifth and sixth embodiment of the present invention;
Fig. 22 is a block diagram of an interstand tension control system in a seventh embodiment
according to a fourth aspect of the present invention;
Fig. 23 is a block diagram of an interstand tension controller in an eighth embodiment
according to a fifth aspect of the present invention;
Fig. 24 is a block diagram of an interstand tension controller in a ninth embodiment
according to the fifth aspect of the present invention;
Fig. 25 is a block diagram of an interstand tension controller in a tenth embodiment
according to a sixth aspect of the present invention;
Fig. 26 is a block diagram of an interstand tension control system in an eleventh
embodiment according to the sixth aspect of the present invention;
Fig. 27 is a graph showing the tension regulating effects of the interstand tension
controllers in the tenth to the eleventh embodiment of the present invention;
Fig. 28 is a graph showing the looping angle regulating effects of the interstand
tension controllers in the tenth and the eleventh embodiment of the present invention;
Fig. 29 is a block diagram of assistance in explaining a tension control system included
in the interstand tension controllers in the first to the eleventh embodiment;
Fig. 30 is a block diagram of assistance in explaining a modification of the tension
control system explained with reference to Fig. 29;
Fig. 31 is a block diagram of assistance in explaining another modification of the
tension control system explained with reference to Fig. 29;
Fig. 32 is a block diagram of an interstand tension controller in a twelfth embodiment
according to a seventh aspect of the present invention;
Fig. 33 is a block diagram of an interstand tension controller in a thirteenth embodiment
according to the seventh aspect of the present invention;
Fig. 34 is a block diagram of an interstand tension controller in a fourteenth embodiment
according to an eighth aspect of the present invention as applied to hot rolling;
Fig. 35 is a block diagram of an interstand tension controller in a fifteenth embodiment
according to the eighth aspect of the present invention;
Fig. 36 is a block diagram of an interstand tension controller in a sixteenth embodiment
according to a ninth aspect of the present invention as applied to hot rolling;
Fig. 37 is a block diagram of an interstand tension controller in a seventeenth embodiment
according to the ninth aspect of the present invention;
Fig. 38 is a block diagram of an interstand tension controller in an eighteenth embodiment
according to a tenth aspect of the present invention;
Fig. 39 is a block diagram of assistance in explaining a tension control system included
in the interstand tension controllers in the twelfth to the eighteenth embodiment
according to the present invention;
Fig. 40 is a block diagram of assistance in explaining a modification of the tension
control system explained with reference to Fig. 39; and
Fig. 41 is a block diagram of assistance in explaining another modification of the
tension control system explained with reference to Fig. 39.
[0039] Preferred embodiments of the present invention applied to controlling the interstand
tension of a workpiece on a hot rolling mill and controlling the looper of the hot
rolling mill will be described hereinafter with reference to the accompanying drawings,
in which like or corresponding parts are denoted by the same reference numerals throughout.
First Embodiment
[0040] Referring to Fig. 9 showing an interstand tension controller in a first embodiment
according to a first aspect of the the present invention as applied to the two adjacent
rolling stands of a hot rolling mill, there are shown a workpiece 10, and two adjacent
rolling stands 12 and 13 respectively having work rolls 12a and 12b and work rolls
13a and 13b. A motor 20 drives the work rolls 12a and 12b, and the motor 20 is controlled
by a roll speed controller 22 so that the work rolls 12a and 12b are driven for rotation
at a desired rotating speed. The workpiece 10 traveling from the left to the right
in Fig. 9 is supported by a looper 16 having a looper arm 16b and a looper roller
16a supported for rotation on the free end of the looper arm 16b. The looper arm 16b
has a base end operatively connected to a motor 24. The motor 24 is controlled by
a looper torque controller 26 so as to generate a desired torque.
[0041] In a tension control system, a tension detector 30 receives a signal representing
the reaction force of the workpiece 10 acting on the looper 16 from a load cell, not
shown, installed on the looper 16 and calculates a measured tension σm of the workpiece
10, and then a tension feedback controller 32 calculates a rotating speed command
ub on the basis of the difference between the measured tension σm and a desired tension
σr specified by a host computer 50.
[0042] A tension disturbance compensator 34 internally provided with a model estimates a
disturbance acting on the tension control system and calculates a rotating speed correction
uf to offset the disturbance. An adder 36 adds up the rotating speed command ub and
the rotating speed correction uf to give a corrected speed command u to the roll speed
controller 22. The model of the tension disturbance compensator 34 receives the corrected
speed command u, estimates the tension of the workpiece 10 on the basis of the corrected
speed command u, regards the difference between the estimated tension and the measured
tension σm given thereto by the tension detector 30 as a disturbance, and calculates
the rotating speed correction uf to offset the disturbance.
[0043] Referring to Fig. 9, in a looper control system, a looping angle controller 42 calculates
a looping torque command gb on the basis of the difference between a measured looping
angle θm measured by a looping angle detector 40 and a desired looping angle θr received
from the host computer 50.
[0044] A looper disturbance compensator 44 internally provided with a model estimates a
disturbance acting on the looper control system and calculates a looping torque correction
gf to offset the estimated disturbance. An adder 46 adds up the looping torque command
gb and the looping torque correction gf and gives a corrected looping torque command
g to a looping torque controller 26. The looper disturbance compensator 44 estimates
the disturbance acting on the looper 16 on the basis of the difference between an
estimated looping angle obtained by applying the corrected torque command g to its
model and the measured looping angle θm measured by the looping angle detector 40,
and then calculates the looping torque correction gf to offset the estimated disturbance.
Second Embodiment
[0045] Although the looping torque controller 26 of the interstand tension controller in
the first embodiment controls the looping torque to regulate the looping angle, an
interstand tension controller in a second embodiment according to the present invention
includes a looping speed detector 52 for detecting looping speed and a looping speed
controller 54 forming a looping speed control loop as shown in Fig. 10. The respective
models and the filters of a tension disturbance compensator 34 and a looper disturbance
compensator 44 will be described in detail.
[0046] The interstand tension of the workpiece on the hot rolling mill and the characteristics
of the looper of the hot rolling mill are shown in Fig. 11 by way of example. In Fig.
11, Kgσ and Kgθ are influence coefficients indicating the influence of interactions
between the interstand tension and the looping angle. A tension model and a looper
model are produced by using transfer functions of a low order on an assumption that
there is no influence of interactions between the tension and the looping angle. The
models are expressed by the following expressions.
Tension model:

Looper model:

Since interactions between the controlled systems and disturbances are not taken
into consideration in producing expressions (2) and (3) representing the tension model
and the looper model, an estimated tension and an estimated looping angle obtained
by using expressions (2) and (3) are those under an ideal condition where there is
neither disturbance nor interaction. Accordingly, the difference between an estimated
value calculated by using each model and measured value representing the condition
of the corresponding controlled system reflects the effect of interactions between
the controlled systems, disturbances acting on the controlled system, and the difference
in characteristics between the model and the actual controlled system.
[0047] In the tension system, the difference between the output of the tension model and
an actual tension is expressed by:

where Δσ is the difference between the output of the tension model and an actual
tension, Pσ is the transfer constant of the tension system, u is a rotating speed
command and d is a disturbance.
[0048] The characteristics of the filter Fσ is expressed by:

The output of the filter Fσ corresponding to the tension difference Δσ is the rotating
speed correction uf, which is expressed by:

Since the rotating speed correction uf is the negative of the disturbance d, the
disturbance can completely be offset by correcting the rotating speed command by the
rotating speed correction uf. In this case, however, the complete offsetting of the
disturbance is impossible due to the significant influence of noise included in the
measured tension. Therefore, a filter having characteristics Fσ expressed by the following
expression is used.

where L is the characteristics of a low-pass filter which determine disturbance suppressing
characteristics.
[0049] Thus, the tension model, a subtracter that calculates the difference Δσ between the
estimated tension calculated by the tension model and the measured tension, and the
filter constitute the tension disturbance compensator 34.
[0050] The same configuration applies to the looper system; a looper model, a subtracter
that calculates the difference between an estimated looping angle calculated by the
looper model and a measured looping angle, and a filter constitute the looper disturbance
compensator 44.
[0051] The follow-up performance of the interstand tension controller to follow up the desired
tension and the desired looping angle is dependent on the performance of the tension
feedback controller 32 and the looping angle controller 42.
Third Embodiment
[0052] Referring to Fig. 12, an interstand tension controller in a third embodiment according
to the present invention is provided with a looper disturbance compensator 60 internally
provided with a looper model. The looper disturbance compensator 60 estimates a disturbance
acting on a looper control system and calculates a looping torque correction gf to
offset the estimated disturbance. An adder 46 adds up a looping torque command gb
and the looping torque correction gf and gives a corrected looping torque command
g to a looping torque controller 26. The looper model of the looper disturbance compensator
60 receives the corrected torque command g and provides an estimated looping speed,
calculates the difference between the estimated looping speed and a measured looping
speed, regards the difference as a disturbance acting on the looper system, and then
calculates the looping torque correction gf to offset the estimated disturbance, i.e.,
the difference.
Fourth Embodiment
[0053] The third embodiment regulates the looping angle by controlling the looping torque
by the looping torque controller 26. An interstand tension controller in a fourth
embodiment according to the present invention shown in Fig. 13 has a looping speed
control loop including a looping speed detector 52 for detecting the looping speed,
and a looping speed controller 54 that receives the output signal of the looping speed
detector 52. From expressions (1) and (3), the looper model is expressed by:

Whereas the looper model of the interstand tension controller in the second embodiment
is expressed by a quadratic expression, the looper model of the interstand tension
controller in the fourth embodiment is expressed by a linear expression. Since the
filter includes the looper model Gθ (s), the order of the filter is lowered.
[0054] Figs. 14 to 17 show the effects of the interstand tension controllers in the first
to the fourth embodiment confirmed through simulation, in which a change in the rolling
speed resulting from a 10 µm change in draft was applied to the interstand tension
controllers. As is obvious from Figs. 14 and 15 showing the control performance of
the conventional noninteractive interstand tension controller, both the interstand
tension (Fig. 14) and the looping angle (Fig. 15) varied greatly and it took a comparatively
long time to restore a steady state. On the other hand, as is obvious from Figs. 16
and 17 showing the control performance of the interstand tension controllers of the
present invention, the interstand tension controllers of the present invention limited
the variation of the interstand tension (Fig. 16) and that of the looping angle (Fig.
17) to a very low degree.
Fifth Embodiment
[0055] Referring to Fig. 18, the output of a looping speed detector 52 is transferred through
an interaction gain regulator 70 to a tension disturbance compensator 35 and is applied
to the tension model of the tension disturbance compensator 35. Part of the looping
speed signal to be applied to the tension disturbance compensator 35 can be adjusted
by the interaction gain regulator 70 and is neither estimated nor offset.
Sixth Embodiment
[0056] While the looping angle is regulated by controlling the looping torque by a looping
torque controller 26 in the fifth embodiment, an interstand tension controller in
a sixth embodiment according to the present invention shown in Fig. 19 a looping speed
detector 52 detects the looping speed and feeds back the detected looping speed to
a looping speed controller 54. The looping speed detector 52 and the looping speed
controller 54 constitute a looping speed control loop.
[0057] Figs. 20 and 21 shows the effects of the interstand tension controllers in the fifth
and the sixth embodiment of the present invention confirmed through simulation, in
which a change in rolling speed resulting from a 10 µm change in draft was applied
to the interstand tension controllers. As is obvious from the comparative observation
of Figs. 14 and 15 showing the effect of a conventional noninteractive interstand
tension controller and Figs. 20 and 21 showing the effect of the interstand tension
controllers in the fifth and the sixth embodiment of the present invention, both the
interstand tension and the looping angle varied greatly when the interstand tension
was controlled by the conventional interstand tension controller, while the variation
of the interstand tension and that of the looping angle were limited to a very low
degree when the interstand tension was controlled by the interstand tension controllers
in the fifth and the sixth embodiment of the present invention. It is known from the
comparative observation of Figs. 16 and 17 showing the simulated control performance
of the interstand tension controllers in the first to the fourth embodiment of the
present invention and Figs. 20 and 21 showing the simulated control performance of
the interstand tension controllers in the fifth and the sixth embodiment of the present
invention that the tension variation suppressing effect of the latter (fifth and sixth
embodiment) interstand tension controllers is slightly higher than that of the former
(first to fourth embodiment) interstand tension controllers, and the looping angle
variation suppressing effect of the latter interstand tension controllers is slightly
lower than that of the former interstand tension controllers. However, the degree
of variation of the looping angle when the looping angle is controlled by the latter
interstand tension controllers is low enough to secure stable travel of the workpiece
and will not cause any practical problems at all. The results of simulation of the
control operation of the interstand tension controllers in the fifth and the sixth
embodiment that allow moderate interaction between the interstand tension and the
looping angle proved that the looper absorbed the tension variation.
Seventh Embodiment
[0058] A seventh embodiment in accordance with the fourth aspect of the present invention,
similarly to the third embodiment, can be constructed in a configuration shown in
Fig. 22.
[0059] Results of the simulated control operation of the interstand tension controller in
the seventh embodiment of the present invention were entirely the same as those of
the interstand tension controller in the fifth and the sixth embodiment.
Eighth Embodiment
[0060] An eighth embodiment in accordance with the fifth aspect of the present invention
will be described in detail.
[0061] In the eighth embodiment shown in Fig. 23, a tension/looper controller 74 receives
a measured tension σm provided by a tension detector 30, the deviation of the measured
tension σm from a desired tension σr given by a host computer 50, a measured looping
angle θm measured by a looping angle detector 40, the deviation of the measured looping
angle θm from a desired looping angle σr given by the host computer 50, a measured
looping speed ωm measured by a looping speed detector 52 and a measured rotating speed
VRm measured by a rotating speed detector 72, and calculates a looping torque command
gb and a rotating speed command ub to make the actual tension coincide with the desired
tension θr and the actual looping angle coincide with the desired looping angle θr.
[0062] A tension disturbance compensator 76 in accordance with the present invention, similarly
to that employed in the first embodiment, includes a model, estimates a disturbance
acting on the tension/looper controller 74 on the basis of the difference between
an estimated tension provided by the model and the measured tension σm measured by
the tension detector 30 and calculates a rotating speed correction uf to offset the
disturbance. This embodiment differs from the first embodiment in that the tension
disturbance compensator 76 need not offset tension variation due to the interference
by the looper because the interference between the tension and the looping angle is
controlled by the tension/looper controller 74. The measured looping speed ωm measured
by the looping speed detector 52 is added to inputs to the model so that the rotating
speed correction uf does not include any component to offset tension variation due
to the interference by the looper.
[0063] The looper disturbance compensator 78, similarly to that of the first embodiment,
includes a model, estimates a disturbance acting on the tension/looper controller
74 on the basis of the difference between the estimated looping angle provided by
the model and the measured tension θm provided by the looping angle detector 40, and
calculates a looping torque correction gf to offset the disturbance. This embodiment
differs from the first embodiment in that the looper disturbance compensator 78 need
not offset looping angle variation due to the interference by the tension because
the tension/looper controller 74 controls the interference between tension and looping
angle. The measured tension σm measured by the tension detector 30 is added to inputs
to the model so that the looping torque correction gf does not include any component
to offset looping angle variation due to the interference by the tension.
Ninth Embodiment
[0064] Although the looping torque controller 26 of the eighth embodiment controls the looping
angle by regulating the looping torque, in a ninth embodiment, a looping speed control
loop including a looping speed controller 54 as shown in Fig. 24 may be employed.
The models included in the disturbance compensators employed in the ninth embodiment
may use expressions (2) and (3) like the second embodiment.
Tenth and Eleventh Embodiments
[0065] Tenth and eleventh embodiments in accordance with the sixth aspect of the present
invention, similarly to the third and the fourth embodiment, may have a configuration
as shown in Figs. 25 and 26. Here, 79 is a looper disturbance compensator of these
embodiments.
[0066] Figs. 27 and 28 are graphs showing the tension and looping angle regulating effects
of the interstand tension controllers in the tenth and eleventh embodiment.
[0067] The control performance of the conventional interstand tension controller provided
with two feedback loops to regulate the interstand tension by controlling the looping
torque or the looping speed and to regulate the looping angle by controlling the rotating
speed of the rolls of the rolling stand can be enhanced by incorporating two disturbance
compensators respectively into the two feedback loops. However, since the interstand
tension and the looping angle are controlled indirectly through the term of interaction
between tension and looping angle, the order of the controlled systems and that of
the models increase and hence the interstand tension controller has a complicated
configuration, which is undesirable.
[0068] In the interstand tension controllers in the first to the seventh embodiment, the
tension disturbance compensator 34 and the looper disturbance compensator 44 or 60
may be substituted by a single disturbance compensator provided with a model including
a term representing interaction between the tension and the looping angle. In such
a case, however, the output of the disturbance compensator does not include any component
to compensate for the interaction. Therefore, the interstand tension controller must
be provided with a part corresponding to a precompensator in addition to the tension
feedback controller 32 and the tension controller 42, which complicates the configuration
of the interstand tension controller. If precompensation is omitted, it is more effective
for the enhancement of the control performance of the interstand tension controller
to employ models not including any term of interaction, such as those employed in
the foregoing embodiments of the present invention, and to compensate for interactions
as disturbances by the disturbance compensator.
[0069] The foregoing embodiments are provided with the tension model and the looper model
and determine disturbance compensating signals on the basis of the difference between
the output of the tension model and a measured interstand tension and the difference
between the output of the looper model and a measured looping angle by passing through
the filters, respectively. In the tension model, the filter has a configuration represented
by expression (7) including an inverse model 1/Gσ as shown in Fig. 29, and the difference
between the outputs of a plant Pσ and the model Gσ is applied to the inverse model
1/Gσ . The output of the model Pσ may be applied directly to the inverse model Gσ
as shown in Fig. 30. It is also possible to integrate the difference between the output
of the plant Pσ and that of the model Gσ to feed back a value obtained by multiplying
the integration by a gain K to the model Gσ and to use the feedback signal as a disturbance
compensating signal as shown in Fig. 31. In this case, the sign of the disturbance
compensating signal is inverted. The configurations shown in Figs. 29 to 31 may optionally
be modified, provided that modified configurations are equivalent to those shown in
Figs. 29 to 31.
Twelfth Embodiment
[0070] Fig. 32 shows an interstand tension controller as applied to a hot rolling mill having
a plurality of rolling stands and provided with a looper between the adjacent rolling
stands.
[0071] In a tension control system included in the interstand tension controller, a tension
detector 30 receives a signal representing a reaction force of a workpiece 10 acting
on the looper 16 from a load cell, not shown, installed in the looper 16 and calculates
a measured interstand tension σm of the workpiece 10, a tension model 82 calculates
an estimated tension σp on the basis of a rotating speed command u given to a roll
speed controller 22, a subtracter 84 calculates the difference Δσ between the estimated
tension σp and a measured interstand tension σm provided by the tension detector 30,
a subtracter 86 subtracts the difference Δσ from a desired tension σr provided by
a host computer 50, and gives a signal representing the result of subtraction to a
filter 88, and the filter 88 calculates a rotating speed command u to offset disturbance
included in the input signal.
[0072] In a looper control system included in the interstand tension controller, a looping
angle detector 40 detects the looping angle and provides a measured looping angle
θm, a looper model 92 estimates an estimated looping angle θp on the basis of a looping
torque command g given to a looping torque controller 26, a subtracter 94 calculates
the difference Δθ between the estimated looping angle θp and the measured looping
angle θm provided by the looping angle detector 40, a subtracter 96 subtracts the
difference Δθ from a desired looping angle θr provided by a host computer 50 and gives
a signal representing the result of subtraction to a filter 98, and the filter 98
calculates a looping torque command g necessary for offsetting a disturbance.
Thirteenth Embodiment
[0073] The interstand tension controller regulates the looping angle by controlling the
looping torque by the looping torque controller 26. In an interstand tension controller
in a thirteenth embodiment according to the present invention shown in Fig. 33 is
provided with a looping speed control loop including a looping speed detector 52 to
feed back a detected looping speed to a looping speed controller 54. Models 82 and
92 and filters 88 and 98 included in the interstand tension controller in the thirteenth
embodiment will be described in detail.
[0074] The characteristics of the interstand tension of a workpiece on a hot rolling mill
and the looper of the hot rolling mill, a tension model (expression (2)), and a looper
model (expression (3)) are the same as those of the second embodiment. The difference
Δσ between the output of the model 82 and a measured interstand tension is expressed
by expression (4). The characteristics Fσ of the filter 88 is expressed by:

and the output u of the filter 88 corresponding to the difference Δσ is expressed
by:

where d is a disturbance. Accordingly, when the rotating speed is regulated according
to the output u of the filter 88, the disturbance can completely be offset. However,
a transfer function representing the relation between a desired interstand tension
σr and the interstand tension is "1," the disturbance cannot completely be offset.
Therefore, the filter 88 must have characteristics Fσ expressed by:

where L is the characteristics of a low-pass filter on which the disturbance suppressing
characteristics and the response characteristics of the tension system are dependent.
[0075] Similarly, the disturbance suppressing characteristics and the response characteristics
of the looper system can be determined by the filter 98.
Fourteenth Embodiment
[0076] In an interstand tension controller in a fourteenth embodiment according to the eighth
aspect of the present invention shown in Fig. 34, a looping speed detector 52 detects
the looping speed, a looper model 110 estimates an estimated looping speed ωp on the
basis of a looping torque command g given to a looping torque controller 26, a subtracter
112 calculates the difference Δω between the estimated looping speed ωp and a measured
looping speed ωm provided by the looping speed detector 52 and gives the same to a
filter 114, and the filter 114 calculates a looping torque command g necessary for
offsetting a disturbance on the basis of the input signal.
Fifteenth Embodiment
[0077] The interstand tension controller in the fourteenth embodiment regulates the looping
angle by controlling the looping torque by the looping torque controller 26. An interstand
tension controller in a fifteenth embodiment according to the present invention shown
in Fig. 35 is provided with a looping speed control loop including a looping speed
detector 52 to feed back a detected looping speed to a looping speed controller 54.
The interstand tension controller in the fifteenth embodiment is provided with a looper
model which is the same as the looper model of the fourth embodiment represented by
expression (8).
[0078] The tension control effects of the interstand tension controllers in the twelfth
to the fifteenth embodiment confirmed through simulation were the same as those of
the interstand tension controllers in the first to the fourth embodiment shown in
Figs. 16 and 17.
Sixteenth Embodiment
[0079] An interstand tension controller in a sixteenth embodiment according to the ninth
aspect of the present invention shown in Fig. 36 transfers the output of a looping
speed detector 52 through an interaction gain regulator 70 to a tension model 82.
Part of the signal representing a looping speed to be given to the tension model 82
can be controlled by the interaction gain regulator 70 and the same is not estimated
and not offset as a disturbance.
Seventeenth Embodiment
[0080] The interstand tension controller in the sixteenth embodiment regulates the looping
angle by controlling the looping torque by the looping torque controller 26. An interstand
tension controller in a seventeenth embodiment according to the present invention
shown in Fig. 37 is provided with a looping speed control loop including a looping
speed detector 52 to feed back a detected looping speed to a looping speed controller
54.
[0081] The effects of the interstand tension controller in the sixteenth embodiment confirmed
through simulation were substantially the same as those of the interstand tension
controller in the fifth and the sixth embodiment shown in Figs. 21 and 22.
Eighteenth Embodiment
[0082] Fig. 38 shows an interstand tension controller in a eighteenth embodiment according
to the tenth aspect of the present invention. The effects of the interstand tension
controller in the tenth embodiment confirmed through simulation were substantially
the same as those of the interstand tension controller in the sixteenth embodiment.
[0083] Although each of the foregoing embodiments detects the interstand tension of the
workpiece by the tension detector 30, the interstand tension of the workpiece may
be estimated on the basis of a component of a detected looping torque due to the interstand
tension of the workpiece.
[0084] The control performance of the conventional interstand tension controller that employs
a control loop that regulates the interstand tension by controlling the looping torque
or the looping speed, and a control loop that regulates the looping angle by controlling
the rotating speed of the rolls of the rolling stand, by estimating an interaction
between the two control loops as a disturbance and compensating for the interaction.
However, in such a case, since the interstand tension and the looping angle are controlled
indirectly through the term of interaction between tension and looping angle, the
order of the controlled systems and that of the models increase and hence the interstand
tension controller has a complicated configuration, which is undesirable.
[0085] The interstand tension controllers in the twelfth to the eighteenth embodiment, the
tension model 82, the looper model 92 or 110 may be substituted by a single model
capable of dealing with interaction between the interstand tension and the looping
angle. In such a case, since the outputs of the filters 88, 98 and 114 do not include
any component to compensate for the interaction, the interstand tension controller
must be provided with a precompensator, so that the two loops cannot be formed separately
and the configuration is complicated. If precompensation is not performed, the control
performance will be enhanced when the term of interaction is omitted from the model
and the interaction is compensated for as a disturbance.
[0086] In the twelfth to the eighteenth embodiments, the difference between the output of
the tension model and the measured interstand tension, and the difference between
the output of the looper model and the measured looping angle are passed through the
filters to obtain signals for compensating for the disturbance. The filter of the
tension model employs the inverse model 1/Gσ as expressed by expression (11); that
is, the difference between the plant model Pσ and the model Gσ is applied to the inverse
model 1/Gσ as shown in Fig. 39. The output of the plant model Pσ may be applied to
the inverse model 1/Gσ as shown in Fig. 40. It is also possible to apply a feedback
signal produced by integrating the difference between the output of the plant Pσ and
that of the model Gσ and multiplying the integral by a gain K, and to use the feedback
signal to the model Gσ as shown in Fig. 41. The configurations shown in Figs. 39 to
41 may optionally be modified, provided that the modified configurations are equivalent
to those shown in Figs. 39 to 41.
[0087] The present invention is not limited in its application to the interstand tension
controller for the hot rolling mill.
[0088] It should be apparent to those skilled in the art that the embodiments described
herein are merely illustrative and represent the applications of the principles of
the present invention, and numerous, varied arrangements other than those described
herein can be readily devised by those skilled in the art without departing from the
scope and spirit of the invention.
1. An interstand tension controller for use in combination with a continuous rolling
mill having a plurality of rolling stands and provided with a looper (16) between
adjacent rolling stands (12, 13), said interstand tension controller comprising;
a first feedback loop that measures or estimates an interstand tension (σm) of a workpiece
(10), calculates a rotating speed command specifying a desired rotating speed for
rolls of the rolling stand on the basis of difference between a desired interstand
tension (σr), and a measured or estimated working interstand tension (σm), and corrects
the rotating speed command (ub);
a second feedback loop that measures a looping angle (θm), calculates a looping torque
command or a looping speed command on the basis of difference between a measured looping
angle (θm) and a desired looping angle (θr), and corrects the looping torque command
or the looping speed command;
a first disturbance compensator (34, 35) that estimates a disturbance acting on the
first feedback loop on the basis of difference between an estimated tension obtained
by applying at least sum of the rotating speed command (ub) calculated by the first
feedback loop and a correction (uf) calculated by the first disturbance compensator
(34, 35) to a model that receives at least the rotating speed command (u) for the
rolls of the rolling stand and provides an interstand tension of the workpiece (10),
and a measured or estimated working tension, and calculates a rotating speed correction
(uf) to offset the estimated disturbance acting on the first feedback loop; and
a second disturbance compensator (44, 60) that estimates a disturbance acting on the
second feedback loop on the basis of difference between an estimated looper control
variable obtained by applying sum of the looping torque command (gb) or the looping
speed command calculated by the second feedback loop and a correction (gf) calculated
by the second disturbance compensator (44, 60) to a model that receives the looping
torque command (gb) or the looping speed command and provides a looper control variable,
and a measured looper control variable, and calculates a looping torque correction
(gf) or a looping speed correction to offset the estimated disturbance acting on the
second feedback loop;
whereby a rotating speed of the rolls is controlled on the basis of a value obtained
by adding up the rotating speed command (ub) provided by the first feedback loop and
the rotating speed correction (uf) calculated by the first disturbance compensator
(34, 35); and a looping torque or a looping speed is controlled on the basis of a
value obtained by adding up the looping torque command (gb) or the looping speed command
provided by the second feedback loop, and the looping torque correction (gf) or the
looping speed correction calculated by the second disturbance compensator (44, 60).
2. An interstand tension controller according to claim 1, wherein the second disturbance
compensator (44) includes a model that provides a looping angle as the looper control
variable, and a disturbance acting on the second feedback loop is estimated on the
basis of a difference between an estimated looping angle provided by the model and
a measured looping angle.
3. An interstand tension controller according to claim 1, wherein the second disturbance
compensator (60) includes a model that provides a looping speed as a looper control
variable, a disturbance acting on the second feedback loop is estimated on the basis
of a difference between an estimated looping speed and a measured looping speed.
4. An interstand tension controller according to claim 1, wherein the first disturbance
compensator (34, 35) includes a model that receives the rotating speed command specifying
a desired rotating speed for the rolls of the rolling stand and the looping speed,
and the estimated tension is determined on the basis of the looping speed and sum
of the rotating speed command calculated by the first feedback loop and the correction
calculated by the first disturbance compensator (34, 35).
5. An interstand tension controller for use in combination with a continuous rolling
mill having a plurality of rolling stands and provided with a looper (16) between
adjacent rolling stands (12, 13), said interstand tension controller comprising:
a first feedback loop that measures or estimates an interstand tension (σm) of a workpiece
(10), calculates a rotating speed command specifying a desired rotating speed for
rolls of the rolling stand on the basis of difference between a desired interstand
tension (σr), and a measured or estimated working interstand tension (σm), and corrects
the rotating speed command;
a second feedback loop that measures a looping angle (θm), calculates a looping torque
command or a looping speed command on the basis of difference between a measured looping
angle (θm) and a desired looping angle (θr), and corrects the looping torque command
or the looping speed command;
a first disturbance compensator (34) that estimates a disturbance acting on the first
feedback loop on the basis of difference between an estimated tension obtained by
applying sum of the rotating speed command (ub) calculated by the first feedback loop
and a correction (uf) calculated by the first disturbance compensator (34) to a model
that receives the rotating speed command (u) for the rolls of the rolling stand and
provides an interstand tension of the workpiece (10), and a measured or estimated
working interstand tension (σm), and calculates a rotating speed correction (uf) to
offset the estimated disturbance acting on the first feedback loop; and
a second disturbance compensator (44) that estimates a disturbance acting on the second
feedback loop on the basis of difference between an estimated looping angle obtained
by applying sum of the looping torque command (g) or the looping speed command calculated
by the second feedback loop and a correction (gf) calculated by the second disturbance
compensator (44) to a model that receives the looping torque command (g) or the looping
speed command and provides a looping angle (θm), and the measured looping angle, and
calculates a looping torque correction (gf) or a looping speed correction to offset
the estimated disturbance acting on the second feedback loop;
whereby a rotating speed of the rolls is controlled on the basis of a value obtained
by adding up the rotating speed command (u) provided by the first feedback loop and
the rotating speed correction (uf) calculated by the first disturbance compensator
(34); and a looping torque or a looping speed is controlled on the basis of a value
obtained by adding up the looping torque command (g) or the looping speed command
provided by the second feedback loop, and the looping torque correction or the looping
speed correction (gf) calculated by the second disturbance compensator (44).
6. An interstand tension controller for use in combination with a continuous rolling
mill having a plurality of rolling stands and provided with a looper (16) between
adjacent rolling stands (12, 13), said interstand tension controller comprising:
a first feedback loop that measures or estimates an interstand tension (σm) of a workpiece
(10), calculates a rotating speed command for rolls of the rolling stand on the basis
of difference between a desired interstand tension (σr), and a measured or estimated
working interstand tension (σm), and corrects the rotating speed;
a second feedback loop that measures a looping angle (θm), calculates a looping torque
command or a looping speed command on the basis of difference between a desired looping
angle (θr) and a measured looping angle (θm), and corrects the looping torque command
or the looping speed command;
a first disturbance compensator (34) that estimates a disturbance acting on the first
feedback loop on the basis of difference between an estimated tension obtained by
applying sum of the rotating speed command (ub) calculated by the first feedback loop
and a correction (uf) calculated by the first disturbance compensator (34) to a model
that receives the rotating speed command (u) for the rolls of the rolling stand and
provides an interstand tension of the workpiece (10), and a measured or estimated
working interstand tension (σm), and calculates a rotating speed correction (uf) to
offset the estimated disturbance acting on the first feedback loop; and
a second disturbance compensator (60) that estimates a disturbance acting on the second
feedback loop on the basis of difference between an estimated looping speed obtained
by applying sum of the looping torque command or the looping speed command calculated
by the second feedback loop and a correction (gf) calculated by the second disturbance
compensator (60) to a model that receives the looping torque command (g) or the looping
speed command and provides a looping speed (θm), and a measured looping speed, and
calculates a looping torque correction (gf) or a looping speed correction to offset
the estimated disturbance acting on the second feedback loop;
whereby a rotating speed is controlled on the basis of a value obtained by adding
up the rotating speed command (ub) provided by the first feedback loop and the rotating
speed correction (uf) calculated by the first disturbance compensator (34); and the
looping torque or the looping speed is controlled on the basis of a value obtained
by adding up the looping torque command (gb) or the looping speed command provided
by the second feed back loop and the looping torque correction (gf) or the looping
speed correction calculated by the second disturbance compensator (60).
7. An interstand tension controller for use in combination with a continuous rolling
mill having a plurality or rolling stands and provided with a looper (16) between
adjacent rolling stands (12, 13), said interstand tension controller comprising:
a first feedback loop that measures or estimates an interstand tension (σm) of a workpiece
(10), calculates a rotating speed command for the rolls of the rolling stand on the
basis of difference between a desired interstand tension (σr) and the measured or
estimated working interstand tension (σm), and corrects the rotating speed;
a second feedback loop that measures a looping angle (θm), calculates a looping torque
command or a looping speed command on the basis of difference between a desired looping
angle (θr) and a measured looping angle (θm), and corrects the looping torque command
or the looping speed command;
a first disturbance compensator (35) that estimates a disturbance acting on the first
feedback loop on the basis of difference between an estimated tension obtained by
applying sum of the rotating speed command (ub) calculated by the first feedback loop
and a correction (uf) calculated by the first disturbance compensator (35) and a looping
speed to a model that receives the rotating speed command (u) and the looping speed
and provides the interstand tension of the workpiece (10), and the measured or estimated
working interstand tension (σm), and calculates a rotating speed correction (uf) to
offset the estimated disturbance acting on the first feedback loop; and
a second disturbance compensator (44) that estimates a disturbance acting on the second
feedback loop on the basis of difference between an estimated looping angle obtained
by applying sum of the looping torque command or the looping speed command calculated
by the second feedback loop and a correction (gf) calculated by the second disturbance
compensator (44) to a model that receives the looping torque command (g) or the looping
speed command, and provides a looping angle, and a measured looping angle, and calculates
a looping torque correction (gf) or a looping speed correction to offset the estimated
disturbance acting on the second feedback loop;
whereby the rotating speed is controlled on the basis of a value obtained by adding
up the rotating speed command (ub) provided by the first feedback loop and the rotating
speed correction (uf) provided by the first disturbance compensator (35), the looping
torque or the looping speed is controlled on the basis of a value obtained by adding
up the looping torque command (gb) or the looping speed command provided by the second
feedback loop, and the looping torque correction (gf) or the looping speed correction
provided by the second disturbance compensator (44).
8. An interstand tension controller for use in combination with a continuous rolling
mill having a plurality of rolling stands and provided with a looper (16) between
adjacent rolling stands (12, 13), said interstand tension controller comprising:
a first feedback loop that measures or estimates an interstand tension (σm) of a workpiece
(10), calculates a rotating speed command for the rolls of the rolling stand on the
basis of difference between a desired interstand tension (σr), and a measured or estimated
working interstand tension (σm), and corrects the rotating speed;
a second feedback loop that measures a looping angle (θm), calculates a looping torque
command or a looping speed command on the basis of difference between a desired looping
angle (θr) and a measured looping angle (θm), and corrects the looping torque command
or the looping speed command;
a first disturbance compensator (35) that estimates a disturbance acting on the first
feedback loop on the basis of difference between an estimated interstand tension obtained
by applying sum of the rotating speed command (ub) calculated by the first feedback
loop and a correction (uf) calculated by the first disturbance compensator (35) and
a looping speed to a model that receives the rotating speed command (u) for the rolls
of the rolling stand and the looping speed, and provides the interstand tension of
the workpiece (10), and the measured or estimated working interstand tension (σm),
and calculates a rotating speed correction (uf) to offset the estimated disturbance
acting on the first feedback loop; and
a second disturbance compensator (60) that estimates a disturbance acting on the second
feedback loop on the basis of difference between an estimated looping speed obtained
by applying sum of the looping torque command or the looping speed command calculated
by the second feedback loop and a correction (gf) calculated by the second disturbance
compensator (60) to a model that receives the looping torque command (g) or the looping
speed command and provides a looping speed, and a measured looping speed, and calculates
a looping torque correction (gf) or a looping speed correction to offset the estimated
disturbance acting on the second feedback loop;
whereby the rotating speed is controlled on the basis of a value obtained by adding
up the rotating speed command (ub) provided by the first feedback loop and the rotating
speed correction (uf) provided by the first disturbance compensator (35), and the
looping torque or the looping speed is controlled on the basis of a value obtained
by adding up the looping torque command (gb) or the looping speed command provided
by the second feedback loop and the looping torque correction (gf) or the looping
speed correction provided by the second disturbance compensator (60).
9. An interstand tension controller for use in combination with a continuous rolling
mill having a plurality of rolling stands and provided with a looper (16) between
adjacent rolling stands (12, 13), said interstand tension controller comprising:
a feedback loop that calculates a rotating speed command for the rolls of the rolling
stand, and a looping torque command or a looping speed command on the basis of a measured
or estimated tension of a workpiece (10) between the rolling stands, the deviation
of the measured or estimated tension from a desired tension, a measured looping angle,
the deviation of the measured looping angle from a desired looping angle, a measured
rotating speed of the rolls of the rolling stand and a measured looping speed, and
corrects the rotating speed of the rolls and the looping torque or the looping speed;
a first disturbance compensator (76) that estimates a disturbance acting on the feedback
loop on the basis of difference between an estimated tension obtained by applying
the measured looping speed (ωm) and sum of the rotating speed command (ub) for the
rolls of the rolling stand calculated by the feedback loop and a correction (uf) calculated
by the first disturbance compensator (76), to a model that receives the rotating speed
command (u) and provides the tension of the workpiece (10) between the rolling stands,
and the measured or estimated tension (σm), and calculates a rotating speed correction
(uf) to offset the estimated disturbance acting on the feedback loop; and
a second disturbance compensator (78) that estimates a disturbance acting on the feedback
loop on the basis of difference between an estimated looper control variable obtained
by applying the measured or estimated tension (σm) and sum of the looping torque command
(gb) or the looping speed command (gb) calculated by the feedback loop and a correction
(gf) calculated by the second disturbance compensator (78) to a model that receives
the looping torque command (g) or the looping speed command and provides a looper
control variable, and the measured looper control variable, and calculates a looping
torque correction (gf) or a looping speed correction to offset the estimated disturbance
acting on the feedback loop;
whereby the rotating speed of the rolls of the rolling stand is controlled on the
basis of sum of the rotating speed command (ub) calculated by the feedback loop and
the rotating speed correction (uf) calculated by the first disturbance compensator
(76), and the looping torque or the looping speed is controlled on the basis of sum
of the looping torque command (gb) or the looping speed command calculated by the
feedback loop and the looping torque correction (gf) or the looping speed correction
calculated by the second disturbance compensator (78).
10. An interstand tension controller according to claim 9, wherein the second disturbance
compensator (78) includes a model that provides a looping angle as the looper control
variable, and a disturbance acting on the second feedback loop is estimated on the
basis of a difference between an estimated looping angle provided by the model and
a measured looping angle (θm).
11. An interstand tension controller according to claim 9, wherein the second disturbance
compensator (78) includes a model that provides a looping speed as a looper control
variable, a disturbance acting on the second feedback loop is estimated on the basis
of a difference between an estimated looping speed and a measured looping speed.
12. An interstand tension controller for use in combination with a continuous rolling
mill having a plurality of rolling stands and provided with a looper (16) between
adjacent rolling stands (12, 13), said interstand tension controller comprising:
a feedback loop that calculates a rotating speed command (ub) for the rolls of the
rolling stand, and a looping torque command (gb) or a looping speed command on the
basis of a measured or estimated tension (σm) of a workpiece (10) between the rolling
stands (12, 13), the deviation of the measured or estimated tension (σm) from a desired
tension (σr), a measured looping angle (θm), the deviation of the measured looping
angle (θm) from a desired looping angle (θr), a measured rotating speed of the rolls
of the rolling stand and a measured looping speed (ωm), and corrects the rotating
speed of the rolls and the looping torque or the looping speed;
a first disturbance compensator (76) that estimates a disturbance acting on the feedback
loop on the basis of difference between an estimated tension obtained by applying
the measured looping speed (ωm) and sum of the rotating speed command (ub) for the
rolls of the rolling stand calculated by the feedback loop and a correction (uf) calculated
by the first disturbance compensator (76), to a model that receives the rotating speed
command (u) and provides the tension of the workpiece (10) between the rolling stands
(12, 13), and the measured or estimated tension (σm), and calculates a rotating speed
correction (uf) to offset the estimated disturbance acting on the feedback loop; and
a second disturbance compensator (78) that estimates a disturbance acting on the feedback
loop on the basis of difference between an estimated looping angle obtained by applying
the measured or estimated tension (σm) and sum of the looping torque command (gb)
or the looping speed command calculated by the feedback loop and a correction (gf)
calculated by the second disturbance compensator (78) to a model that receives the
looping torque command (g) or the looping speed command and provides a looping angle,
and the measured looping angle (θm), and calculates a looping torque correction (gf)
or a looping speed correction to offset the estimated disturbance acting on the feedback
loop;
whereby the rotating speed of the rolls of the rolling stand is controlled on the
basis of sum of the rotating speed command (ub) calculated by the feedback loop and
the rotating speed correction (uf) calculated by the first disturbance compensator
(76), and the looping torque or the looping speed is controlled on the basis of sum
of the looping torque command (gb) or the looping speed command calculated by the
feedback loop and the looping torque correction (gf) or the looping speed correction
calculated by the second disturbance compensator (78).
13. An interstand tension controller for use in combination with a continuous rolling
mill having a plurality of rolling stands and provided with a looper (16) between
adjacent rolling stands (12, 13), said interstand tension controller comprising:
a feedback loop that calculates a rotating speed command (ub) for the rolls of the
rolling stand and a looping torque command (gb) or a looping speed command on the
basis of a measured or estimated tension (σm) of a workpiece (10) between the rolling
stands (12, 13), the deviation of the measured or estimated tension (σm) from a desired
tension (σr), a measured looping angle (θm), the deviation of the measured looping
angle (θm) from a desired looping angle (θr), a measured rotating speed of the rolls
of the rolling stand and a measured looping speed, and corrects the rotating speed
of the rolls and the looping torque or the looping speed;
a first disturbance compensator (76) that estimates a disturbance acting on the feedback
loop on the basis of difference between an estimated tension obtained by applying
the measured looping speed (ωm) and sum of the rotating speed command (ub) calculated
by the feedback loop and a correction (uf) calculated by the first disturbance compensator
(76) to a model that receives the rotating speed command (u) and provides the tension
of the workpiece (10) between the rolling stands (12, 13), and the measured or estimated
tension (σm), and calculates a rotating speed correction (uf) to offset the estimated
disturbance acting on the feedback loop; and
a second disturbance compensator (78) that estimates a disturbance acting on the feedback
loop on the basis of difference between an estimated looping speed obtained by applying
the measured or estimated tension (σm) and sum of the looping torque command (gb)
or the looping speed command calculated by the feedback loop and a correction (gf)
calculated by the second disturbance compensator (78) to a model that receives the
looping torque command (g) or the looping speed command and provides a looping speed
(ωm), and the measured looping speed, and calculates a looping torque correction (gf)
or a looping speed correction to offset the estimated disturbance acting on the feedback
loop;
whereby the rotating speed of the rolls of the rolling stand is controlled on the
basis of sum of the rotating speed command (ub) calculated by the feedback loop and
the rotating speed correction (uf) calculated by the first disturbance compensator
(76), and the looping torque or the looping speed is controlled on the basis of sum
of the looping torque command (gb) or the looping speed command calculated by the
feedback loop and the looping torque correction (gf) or the looping speed correction
calculated by the second disturbance compensator (78).
14. A method of regulating an interstand tension of a workpiece (10) being rolled on a
continuous rolling mill having a plurality of rolling stands and provided with a looper
(16) between adjacent rolling stands (12, 13) at a desired interstand tension by controlling
a rotating speed of rolls of the rolling stand and of regulating a looping angle at
a desired looping angle by controlling a looping torque or a looping speed of the
looper, said method comprising the steps of;
estimating a disturbance acting on a first controlled system, in which the rotating
speed of the rolls is a manipulated variable and the interstand tension of the workpiece
is a controlled variable, on the basis of difference between an estimated interstand
tension obtained by applying at least a rotating speed command (u) for the rolls of
the rolling stand to a first model (82) that receives at least the rotating speed
command (u) and provides the interstand tension (σp) of the workpiece, and a measured
or estimated working interstand tension;
calculating a rotating speed command (u) to offset the estimated disturbance;
regulating the rotating speed according to the calculated rotating speed command (u);
estimating a disturbance acting on a second controlled system, in which the looping
torque or the looping speed of the looper (16) is a manipulated variable and the looping
angle of the looper (16) is a controlled variable, on the basis of difference between
an estimated looper control variable obtained by applying a looping torque command
(g) or a looping speed command to a second model (92, 110) that receives the looping
torque command (g) or the looping speed command, and provides a looper control variable
(θp, ωp), and a measured looper control variable;
calculating a looping torque command (g) or a looping speed command to offset the
estimated disturbance; and
regulating the looping torque or the looping speed according to the calculated looping
torque command (g) or the calculated looping speed command.
15. A method according to claim 14, wherein the looper control variable provided by the
second model (92) is a looping angle (θp), and the disturbance acting on the second
controlled system is estimated on the basis of difference between an estimated looping
angle (θp) provided by the second model (92) and a measured looping angle (θm).
16. A method according to claim 14, wherein the looper control variable provided by the
second model (110) is a looping speed (ωp), and the disturbance acting on the second
controlled system is estimated on the basis of difference between an estimated looping
speed (ωp) provided by the second model (110) and a measured looping speed (ωm).
17. A method according to claim 14, wherein the estimated interstand tension (σp) is determined
on the basis of the rotating speed command (u) and the looping speed.
18. A method of regulating an interstand tension of a workpiece (10) being rolled on a
continuous rolling mill having a plurality of rolling stands and provided with a looper
(16) between adjacent rolling stands (12, 13) at a desired interstand tension by controlling
a rotating speed of rolls of the rolling stand and of regulating a looping angle at
a desired looping angle by controlling a looping torque or a looping speed of the
looper, said method comprising the steps of:
estimating a disturbance acting on a first controlled system, in which the rotating
speed of the rolls is a manipulated variable and the interstand tension of the workpiece
is a controlled variable, on the basis of difference between an estimated interstand
tension obtained by applying a rotating speed command (u) for the rolls of the rolling
stand to a first model (88) that receives the rotating speed command (u) and provides
the interstand tension (σp) of the workpiece (10), and a measured or estimated working
interstand tension (σm);
calculating a rotating speed command (u) to offset the estimated disturbance;
regulating the rotating speed according to the calculated rotating speed command (u);
estimating a disturbance acting on a second controlled system, in which the looping
torque or the looping speed of the looper (16) is a manipulated variable and the looping
angle of the looper (16) is a controlled variable, on the basis of difference between
an estimated looping angle obtained by applying a looping torque command (g) or a
looping speed command to a second model (92) that receives the looping torque command
(g) or the looping speed command, and provides a looping angle (θp), and a measured
looping angle;
calculating a looping torque command (g) or a looping speed command to offset the
estimated disturbance; and
regulating the looping torque or the looping speed according to the calculated looping
torque command (g) or the calculated looping speed command.
19. A method of regulating an interstand tension of a workpiece (10) being rolled on a
continuous rolling mill having a plurality of rolling stands and provided with a looper
(16) between adjacent rolling stands (12, 13) at a desired interstand tension by controlling
a rotating speed of rolls of the rolling stand and of regulating a looping angle at
a desired looping angle by controlling a looping torque or a looping speed of the
looper (16), said method comprising the steps of:
estimating a disturbance acting on a first controlled system, in which rotating speed
of the rolls is a manipulated variable and the interstand tension of the workpiece
(10) is a controlled variable, on the basis of difference between an estimated interstand
tension (σp) obtained by applying a rotating speed command (u) for the rolls of the
rolling stand to a first model (82) that receives the rotating speed command (u) and
provides the interstand tension (σp) of the workpiece (10), and a measured or estimated
working interstand tension (σm);
calculating a rotating speed command (u) to offset the estimated disturbance;
regulating the rotating speed according to the calculated rotating speed command (u);
estimating a disturbance acting on a second controlled system, in which the looping
torque or the looping speed of the looper (16) is a manipulated variable and the looping
angle of the looper (16) is a controlled variable, on the basis of difference between
an estimated looping speed (ωp) obtained by applying a looping torque command (g)
or a looping speed command to a second model (110) that receives the looping torque
command (g) or the looping speed command, and provides a looping speed, and a measured
looping speed (ωm);
calculating a looping torque command (g) or a looping speed command to offset the
estimated disturbance; and
regulating the looping torque or the looping speed according to the calculated looping
torque command (g) or the calculated looping speed command.
20. A method of regulating an interstand tension of a workpiece (10) being rolled on a
continuous rolling mill having a plurality of rolling stands and provided with a looper
(16) between adjacent rolling stands (12, 13) at a desired interstand tension by controlling
a rotating speed of rolls of the rolling stand and of regulating a looping angle at
a desired looping angle by controlling a looping torque or a looping speed of the
looper (16), said method comprising the steps of:
estimating a disturbance acting on a first controlled system, in which the rotating
speed of the rolls is a manipulated variable and the interstand tension of the workpiece
(10) is a controlled variable, on the basis of difference between an estimated interstand
tension (σp) obtained by applying a rotating speed command (u) for the rolls of the
rolling stand and the looping speed to a first model (82) that receives the rotating
speed command (u) and the looping speed and provides the interstand tension (σp) of
the workpiece, and a measured or estimated working interstand tension (σm);
calculating a rotating speed command (u) to offset the estimated disturbance;
regulating the rotating speed according to the calculated rotating speed command (u);
estimating a disturbance acting on a second controlled system, in which the looping
torque or the looping speed is a manipulated variable and the looping angle is a controlled
variable, on the basis of difference between an estimated looping angle (θp) obtained
by applying a looping torque command (g) or a looping speed command to a second model
(92) that receives the looping torque command (g) or the looping speed command, and
provides a looping angle, and a measured looping angle (θm);
calculating a looping torque command (g) or a looping speed command to offset the
estimated disturbance; and
regulating the looping torque or the looping speed according to the calculated looping
torque command (g) or the calculated looping speed command.
21. A method of regulating an interstand tension of a workpiece (10) being rolled on a
continuous rolling mill having a plurality of rolling stands and provided with a looper
(16) between adjacent rolling stands (12, 13) at a desired interstand tension by controlling
a rotating speed of rolls of the rolling stand and of regulating a looping angle at
a desired looping angle by controlling a looping torque or a looping speed of the
looper (16), said method comprising the steps of:
estimating a disturbance acting on a first controlled system, in which the rotating
speed of the rolls is a manipulated variable and the interstand tension of the workpiece
(10) is a controlled variable, on the basis of difference between an estimated interstand
tension (σp) obtained by applying a rotating speed command (u) for the rolls of the
rolling stand and a looping speed to a first model (82) that receives the rotating
speed command (u) and the looping speed and provides the interstand tension (σp) of
the workpiece, and a measured or estimated working interstand tension (σm);
calculating a rotating speed command (u) to offset the estimated disturbance;
regulating the rotating speed according to the calculated rotating speed command (u);
estimating a disturbance acting on a second controlled system, in which the the looping
torque or the looping speed is a manipulated variable and the looping angle is a controlled
variable, on the basis of difference between an estimated looping speed (ωp) obtained
by applying a looping torque command (g) or a looping speed command to a second model
(110) that receives the looping torque command (g) or the looping speed command, and
provides a looping speed, and a measured looping speed (ωm);
calculating a looping torque command (g) or a looping speed command to offset the
estimated disturbance; and
regulating the looping torque or the looping speed according to the calculated looping
torque command (g) or the calculated looping speed command.