一类不确定离散时滞切换系统的二次保成本控制

应用科学学报 ›› 2006, Vol. 24 ›› Issue (2): 181-186.

一类不确定离散时滞切换系统的二次保成本控制

孙文安², 沈连山², 邹开其^1,2, 李丕贤²

1. 大连大学辽宁省智能信息处理重点实验室, 辽宁大连 116622;
2. 大连大学信息工程学院, 辽宁大连 116622

收稿日期:2005-01-03 修回日期:2005-08-01 出版日期:2006-03-31 发布日期:2006-03-31
作者简介:孙文安,教授,博士,研究方向:混合动态系统.切换系统等,E-mail:sunwenan@126.com
基金资助:
国家自然科学基金资助项目(60573072;60274016);大连大学辽宁省智能信息处理重点实验室开放课题

Quadratic Guaranteed Cost Control of a Class of Uncertain Discrete Time Delay Switched Systems

SUN Wen-an², SHEN Lian-shan², ZOU Kai-qi^1,2, LI Pi-xian²

1. Liaoning Key Lab of Intelligent Information Processing, Dalian 116622, China;
2. College of Information Engineering, Dalian University, Dalian 116622, China

Received:2005-01-03 Revised:2005-08-01 Online:2006-03-31 Published:2006-03-31

摘要/Abstract

摘要： 对一类具有范数有界时变参数不确定性的离散时滞切换系统,研究了其在任意切换下的二次稳定保成本状态反馈控制律的设计问题.基于线性矩阵不等式处理方法,导出了二次稳定保成本控制律存在的条件,这个条件可以通过MATLAB LMI工具箱求解,适合在工程中使用.最后用数值例子对所得结果加以验证,说明了文中结果的正确性.

关键词: 离散时滞切换系统, 二次稳定性, 保成本控制, 线性矩阵不等式(LMI), Schur补引理

Abstract: For a class of discrete-time state delay switched systems with norm-bounded time-varying parameter uncertainty, this paper addresses the problem of designing the guaranteed cost state feedback controller of quadratic stabilization under arbitrary switching laws.A condition for the existence of guaranteed cost controllers is derived.This condition can be solved easily with the MATLAB LMI toolbox.A numerical example shows the effectiveness of the method.

Key words: linear matrix inequalities (LMI), Schur complement lemma, discrete-time state delay switched systems, guaranteed cost control, quadratic stability

中图分类号:

TP273

孙文安, 沈连山, 邹开其, 李丕贤. 一类不确定离散时滞切换系统的二次保成本控制[J]. 应用科学学报, 2006, 24(2): 181-186.

SUN Wen-an, SHEN Lian-shan, ZOU Kai-qi, LI Pi-xian. Quadratic Guaranteed Cost Control of a Class of Uncertain Discrete Time Delay Switched Systems[J]. Journal of Applied Sciences, 2006, 24(2): 181-186.