Method and control system for tuning flatness control in a mill
A method for tuning flatness control for rolling a strip in a mill including rolls controllable by means of a plurality of actuators, which mill is modeled by means of a mill matrix. The method includes: a) obtaining an equivalent movement range for each actuator, b) determining a scaled mill matrix by scaling the mill matrix based on the equivalent movement ranges, and c) obtaining a singular value decomposition of the scaled mill matrix for providing flatness control of the strip by means of the actuators. A computer program and a control system for carrying out the above method are also presented herein.
1. A method for tuning flatness control for rolling a strip in a mill comprising rolls controllable by means of a plurality of actuators, which mill is modeled by means of a mill matrix, wherein the method comprises:
displaying an equivalent movement range window allowing a user input to change the equivalent movement ranges of the actuators, the equivalent movement ranges being user-selectable ranges of movement of the actuators within a full range of movement for each actuator,
a) obtaining an equivalent movement range for each actuator,
b) determining a scaled mill matrix by scaling the mill matrix based on the equivalent movement ranges, and
c) obtaining a singular value decomposition of the scaled mill matrix for providing flatness control of the strip by means of the actuators.
2. The method as claimed in claim 1 , wherein each equivalent movement range is an element of a vector.
3. The method as claimed in claim 1 , comprising determining a scaling factor based on the equivalent movement ranges, wherein step b) comprises scaling the mill matrix with the scaling factor.
4. The method as claimed in claim 3 , wherein the scaling factor is a diagonal matrix with its diagonal having as its diagonal elements the equivalent movement ranges.
5. The method as claimed in claim 1 , wherein in step a) the equivalent movement range for each actuator is obtained via user input of each equivalent movement range.
6. The method as claimed in claim 1 , comprising:
d) determining a ratio of a largest singular value and a singular value that is larger than a predetermined flatness effect threshold value, of the scaled mill matrix and repeating steps a) to d) until a minimum ratio is obtained.
7. The method as claimed in claim 6 , wherein the largest singular value is the numerator and the singular value that is larger than a predetermined flatness effect threshold value is the denominator of the ratio.
8. A computer program embodied in a non-transitory computer readable medium, which when loaded onto a processor of a control system are eecuted by the processor, performs the steps of:
displaying an equivalent movement range window allowing a user input to change the equivalent movement ranges of the actuators, the equivalent movement ranges being user-selectable ranges of movement on the actuators within a full range of movement for each actuator,
a) obtaining an equivalent movement range for each actuator,
b) determining a scaled mill matrix by scaling the mill matrix based on the equivalent movement ranges, and
c) obtaining a singular value decomposition of the scaled mill matrix for providing flatness control of the strip by means of the actuators.
9. A control system for providing flatness control for rolling a strip in a mill comprising rolls controllable by means of a plurality of actuators, which control system utilizes a mill matrix to model of the mill, wherein the control system comprises:
a processing system arranged to:
display an equivalent movement range window allowing a user input to change the equivalent movement ranges of the actuators, the equivalent movement ranges being user-selectable ranges of movement of the actuators within a full range of movement for each actuator,
obtain an equivalent movement range for each actuator,
determine a scaled mill matrix by scaling the mill matrix based on the equivalent movement ranges, and
obtain a singular value decomposition of the scaled mill matrix for providing flatness control of the strip by means of the actuators.
10. The control system as claimed in claim 9 , wherein each equivalent movement range is an element of a vector.
11. The control system as claimed in claim 9 , wherein the processing system is arranged to determine a scaling factor based on the equivalent movement ranges, and to scale the mill matrix with the scaling factor.
12. The control system as claimed in claim 11 , wherein the scaling factor is a diagonal matrix having as its diagonal elements the equivalent movement ranges.
13. The control system as claimed in any of claims 9 , wherein the processing system is arranged to obtain each equivalent movement range from a user input.
14. The control system as claimed in claim 9 , wherein the processing system is arranged to determine a ratio of the largest singular value and a singular value that is larger than a predetermined flatness effect threshold value, wherein the processing system is arranged to repeat:
to obtain an equivalent movement range for each actuator,
to determine a scaled mill matrix by scaling the mill matrix based on the equivalent movement ranges, to obtain a singular value decomposition of the scaled mill matrix for providing flatness control of the strip by means of the actuators, and
to determine a ratio of a largest singular value and a singular value that is larger than a predetermined flatness effect threshold value until a minimum ratio is obtained.
15. The control system as claimed in claim 14 , wherein the largest singular value is the numerator and the singular value that is larger than a predetermined flatness effect threshold value is the denominator of the ratio.