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
收藏
页码：153 / 159
页数：7
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