板形闭环控制系统的最优化算法  

Optimization algorithm for closed-loop control system of flatness

作　　者：马磊[1] 王鹏飞[1] 王东城[1,2] 刘宏民[1,2] 

机构地区：[1]燕山大学国家冷轧板带装备及工艺工程技术研究中心,河北秦皇岛066004 [2]亚稳材料制备技术与科学国家重点实验室,河北秦皇岛066004

出　　处：《钢铁研究学报》2015年第7期42-45,共4页Journal of Iron and Steel Research

基　　金：国家科技支撑计划资助项目(2011BAF15B02);国家自然科学基金资助项目(51304172);河北省自然科学基金资助项目(E2012203108;E2014203177)

摘　　要：为了快速、精确地确定轧机的板形调节机构的最优调节量,实现最大限度地消除带钢的在线板形偏差,建立了一种以板形调控功效为基础的板形闭环控制新方法,即矩阵分析法。矩阵分析法是将板形调节机构的多目标评价函数转化为标准二次型函数,分别求取m个变量在可行域内绝对值最小对应的值,经过矩阵逆变换求得执行机构的最佳调节量,以达到对评价函数进行可行域内最小值求解。为了验证矩阵分析法的正确性,分别将最小二乘法和矩阵分析法应用于1450冷连轧机系统的板形调节机构的最优调节量求解。计算结果表明:在执行机构调节量超范围情况下,与最小二乘法相比,矩阵分析法可以求得全域第二最优解,实现了对板形的最优控制。In order to calculate the optimal adjustment amount of flatness actuators of rolling machine fast and pre- cisely, 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 ob- tained through the matrix inversion; after all, the best adjustment amount of flatness actuators in the feasible re- gion 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 satura- tion, matrix analysis method obtains a second global optimal solution, so optimal control of the system can be achieved.

关 键 词：板形控制 矩阵分析法 最优化算法 调控功效 冷轧 

分 类 号：TG334.9[金属学及工艺—金属压力加工]