H∞ OPTIMAL STABILIZATION OF A CLASS OF UNCERTAIN IMPULSIVE SYSTEMS: AN LMI APPROACH

被引：12

作者：

Xu, Honglei ^{[1
,2
]}

Teo, Kok Lay ^{[1
]}

机构：

[1] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia

[2] Guizhou Univ, Dept Math, Guiyang 550025, Peoples R China

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2009年 / 5卷 / 01期

关键词：

H-infinity control; robust optimal control; impulsive systems; SWITCHED SYSTEMS;

D O I：

10.3934/jimo.2009.5.153

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper studies H-infinity optimal control problems for a class of impulsive dynamical systems with norm-bounded time-varying uncertainty. By using a linear matrix inequality approach, some sufficient conditions are established to ensure both internally asymptotical stability and H-infinity optimal performance of the impulsive closed-loop system. Moreover, based on the stability criteria, a linear time-invariant stabilizing control law is designed. Finally, a numerical example is presented to illustrate the effectiveness of our results.

引用

页码：153 / 159

页数：7

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