引用本文:张群亮, 席裕庚.基于线性集结的预测控制器[J].控制理论与应用,2006,23(5):763~767.[点击复制]
ZHANG Qun-liang, XI Yu-geng .Predictive controller based on linear aggregation[J].Control Theory and Technology,2006,23(5):763~767.[点击复制]
基于线性集结的预测控制器
Predictive controller based on linear aggregation
摘要点击 1850  全文点击 1048  投稿时间:2005-04-14  修订日期:2005-10-21
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DOI编号  10.7641/j.issn.1000-8152.2006.5.018
  2006,23(5):763-767
中文关键词  集结  预测控制  可行性  稳定性
英文关键词  aggregation  predictive control  feasibility  stability
基金项目  国家自然科学基金资助项目(60274013,60474002); 上海市科技发展基金资助项目(04DZ11008).
作者单位
张群亮, 席裕庚 上海交通大学自动化系,上海200240 
中文摘要
      针对一类受约束的线性离散系统,研究了基于集结预测控制器的可行性问题.通过一个列满秩的集结矩阵将维数较小的控制变量序列映射成在线优化变量序列,在不缩短控制时域的情况下,降低了在线优化变量的个数.给出了优化变量可集结的充分条件,当集结矩阵满足这个条件时,在线求解优化问题总会得到可行解.最后,给出了一个仿真实例,仿真结果很好地验证了本文的结论.
英文摘要
      For a class of constrained linear discrete-time systems, the feasibility problem of aggregation-based predictive controllers is investigated. Using an aggregation matrix with full column rank to map the on-line optimization variable sequence into a new one, the number of on-line optimization variables is cut down without reducing the control horizon. A sufficient condition is presented to check whether the control variable sequence can be aggregated. When the selected aggregation matrix satisfies this condition, a feasible solution can always be obtained by solving the on-line optimization problem. Finally, a simulation example is given to illustrate the proposed result.