Optimization algorithm for closed- loop control system of flatness

MA Lei,WANG Peng- fei,WANG Dong- cheng,,LIU Hong- min,

Journal of Iron and Steel Research ›› 2015, Vol. 27 ›› Issue (7) : 42-45.

Journal of Iron and Steel Research ›› 2015, Vol. 27 ›› Issue (7) : 42-45. DOI: 10.13228/j.boyuan.issn1001- 0963.20140333

Optimization algorithm for closed- loop control system of flatness

  • MA Lei1,WANG Peng- fei1,WANG Dong- cheng1,2,LIU Hong- min1,2
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Abstract

In order to calculate the optimal adjustment amount of flatness actuators of rolling machine fast and precisely, and to minimize the online flatness error of the strip, a flatness control method, namely the matrix analysis method, which was based on the shape control efficacy, was put forward. The matrix analysis method converted the multi- variable optimal function into the standard quadratic function, calculated the minimum absolute value of the m variables in the corresponding feasible region respectively, and then optimal adjustment amount was obtained through the matrix inversion; after all, the best adjustment amount of flatness actuators in the feasible region was gained. In order to verify the correctness of the matrix analysis method, the least squares method and matrix analysis method were used respectively to accurate the best adjustment of 1450 tandem cold rolling system. As the results show, compared with the least squares method in the case that some actuators outputs are saturation, matrix analysis method obtains a second global optimal solution, so optimal control of the system can be achieved.

Key words

flatness control / matrix analysis method / optimization algorithm / efficiency factors / cold rolling

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MA Lei,WANG Peng- fei,WANG Dong- cheng,,LIU Hong- min,. Optimization algorithm for closed- loop control system of flatness[J]. Journal of Iron and Steel Research, 2015, 27(7): 42-45 https://doi.org/10.13228/j.boyuan.issn1001- 0963.20140333

References

[1]王国栋.板形控制与板形理论[M]. 北京: 冶金工业出版社, 1986.
[2]连家创, 刘宏民.板厚板形控制[M]. 北京: 兵器工业出版社, 1996.
[3]孙彦广.支撑钢铁工业可持续发展的冶金自动化技术[J].冶金自动化, 2006, 30(2):1-4
[4]张清东, 李博, 郑武, 等.冷带轧机板形闭环反馈控制策略及模型研究[J].系统仿真学报, 2009, 1(24):7858-7862
[5]Peng-fei W, Dian-hua Z, Xu L, et al.Research and application of dynamic substitution control of actuators in flatness control of cold rolling mill[J].steel research international, 2011, 82(4):379-387
[6]刘建昌, 顾树生, 周瀛, 等.板形最优综合控制算法[J].东北大学学报, 1996, 1(996):1-1
[7]黄纶伟, 陈守群.板带冷轧机板形控制技术调控功效的比较研究[J].冶金设备, 2000, 1(1):4-7
[8]Bemporad A, Bernardini D, Cuzzola F A, et al.Optimization-based automatic flatness control in cold tandem rolling[J].Journal of Process Control, 2010, 20(4):396-407
[9]傅尚朴.线性方程组极小最小二乘解[J].数学物理力学高新技术研究进展卷中国数学力学物理学高新技术交叉研究会第届学术研讨会论文集, 1998, 1(07):14-29
[10]周士藩.列满秩矩阵的等价定义[J].宁夏大学学报 (自然科学版), 1981, 1(1):009-009
[11]邵逸民.行(列)满秩矩阵的一些性质及应用[J].长春师范学院学报, 2009 , 1(12):22-25
[12]徐秋丽.行列满秩阵的几点性质[J].长春师范学院学报: 自然科学版, 2005, 24(3):5-7
[13]李先崇.矩阵的满秩分解和强满秩矩阵的三角分解的初等变换法[J].贵州师范大学学报: 自然科学版, 2005, 22(4):57-59

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