Research on Lower Bound of Control Weight in Stair-like Model Predictive Control
-
摘要: 为了研究控制权重在预测控制器中起作用的范围与其余控制器参数的关系,对于阶梯式动态矩阵控制,通过一个中间变量,间接研究了控制权重λ的下限值与预测步长和阶梯因子的关系.在一定范围内,该下限值对参数变化很敏感,并出现很陡的峰值,此时可去掉控制加权项,其功能由阶梯因子来部分承担,来改善系统闭环性能.本文的研究结果可以指导控制权重λ的取值以及进一步简化算法.Abstract: The relationship between control weight's bound and other parameters should be studied in predictive controller.For stair-like dynamic matrix controller,the relationship among the lower bound of control weight λ,the prediction horizon and stair-like factor is studied indirectly through a inter-variable.The lower bound is sensitive to parameters in some range,and a steep peak may appear.In these cases,the weighted control item in the objective function can be omitted,and the control moves are arranged by stair-like factor to improve the closed loop performance.The result can help to set the value of λ and simplify the algorithm.
-
Keywords:
- predictive control /
- stair-like /
- control weight /
- parameter tuning
-
-
[1] 席裕庚.预测控制[M].北京:国防工业出版社,1993. [2] Mayne D Q,Rawlings J B,Rao C V,et al.Constrained model predictive control:stability and optimality[J].Automatica,2000,36(6):789~814. [3] 吴刚.预测控制研究及在工业锅炉自动控制中的应用[D].合肥:中国科学技术大学,1989. [4] 薛美盛,孙德敏,吴刚.火电厂锅炉主蒸汽压力的阶梯式广义预测控制[J].中国科学技术大学学报,2002,32(6):685~689. [5] 刘有飞,吴刚,王永,等.阶梯式模块多变量动态矩阵控制器在常压塔加热炉中的应用[J].信息与控制,2002,31(6):508~512. [6] 罗国娟,吴刚,薛美盛,等.基于阶梯式动态矩阵控制的电烤箱温度控制系统[J].东南大学学报(自然科学版),2003,33(S1):150~153. [7] Shridhar R,Cooper D J.A tuning strategy for unconstrained SISO model predictive control[J].Industrial and Engineering Chemistry Research,1997,36(3):729~746. [8] Qin S J,Badgwell T A.A survey of industrial model predictive control technology[J].Control Engineering Practice,2003,11(7):733-764. [9] 罗国娟,吴刚.预测控制中柔化因子与控制增量权重的关系研究[A].第二十四届中国控制会议论文集[C].广州:华南理工大学出版社,2005.483~486.
计量
- 文章访问数: 1792
- HTML全文浏览量: 3
- PDF下载量: 282