一类不确定线性切换系统的满意控制

上海交通大学学报（自然版） ›› 2011, Vol. 45 ›› Issue (08): 1196-1201.

• 自动化技术、计算机技术 • 上一篇下一篇

一类不确定线性切换系统的满意控制

董学平，苏瑜田

（合肥工业大学电气与自动化工程学院，合肥 230009）

收稿日期:2011-03-11 出版日期:2011-08-30 发布日期:2011-08-30
基金资助:
国家自然科学基金资助项目（60974022）

Satisfactory Control for a Class of Uncertain Switched Linear Systems

DONG Xue-Ping, SU Yu-Tian

(School of Electrical Engineering and Automation, Hefei University of Technology， Hefei 230009， China)

Received:2011-03-11 Online:2011-08-30 Published:2011-08-30

摘要/Abstract

摘要： 针对一般的不确定线性切换系统，设计了闭环具有H∞指标且子系统具有区域极点指标、反馈增益指标及协方差指标的状态反馈控制器.建立了切换系统满足4个指标的充分条件，运用线性矩阵不等式将具有4个指标的状态反馈控制器设计问题转化为一组线性矩阵不等式（LMI）的可行解问题，并借助MATLAB中LMI工具箱，求解得到满足要求的状态反馈控制器.最后通过数值仿真，验证了所提出设计方法的有效性.

关键词: 线性切换系统, 满意控制, 线性矩阵不等式, 多指标

Abstract: The problem of satisfactory control for a class of uncertain switched linear systems was studied. The state feedback controller with closed-loop H infinity index and every subsystem with circular pole index, feedback gain and steady variance was designed. A sufficient condition for the switched system with above four indices was obtained. Meanwhile, by linear matrix inequalities (LMI) approach, the design of state feedback controllers with above four indices was transformed into the feasible problem of some certain LMI. The state feedback controllers can be efficiently solved by means of Matlab LMI toolbox. Finally, a numerical example shows the validity of the proposed design method.

Key words: linear switched systems, satisfactory control； linear matrix inequalities （LMI）； multi-indices

中图分类号:

TP273

董学平, 苏瑜田. 一类不确定线性切换系统的满意控制[J]. 上海交通大学学报（自然版）, 2011, 45(08): 1196-1201.

DONG Xue-Ping, SU Yu-Tian. Satisfactory Control for a Class of Uncertain Switched Linear Systems[J]. Journal of Shanghai Jiaotong University, 2011, 45(08): 1196-1201.

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一类不确定线性切换系统的满意控制

Satisfactory Control for a Class of Uncertain Switched Linear Systems

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