Robust stability and H∞-control of uncertain impulsive systems with time-delay

被引：87
|
作者：
Chen, Wu-Hua [2 ]
Zheng, Wei Xing [1 ]
机构：
[1] Univ Western Sydney, Sch Comp & Math, Penrith, NSW 1797, Australia
[2] Guangxi Univ, Coll Math & Infromat Sci, Nanning 530004, Guangxi, Peoples R China
来源：
AUTOMATICA | 2009年 / 45卷 / 01期
关键词：
Uncertain impulsive systems; Time-delay; Robust stability; Robust stabilization; H-infinity-control; Linear matrix inequality (LMI); EXPONENTIAL STABILITY; CHAOTIC SYSTEMS; SYNCHRONIZATION; STABILIZATION; DESIGN;
D O I：
10.1016/j.automatica.2008.05.020
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the problems of robust stability, stabilization and H-infinity-control for uncertain impulsive systems with time-delay. The parametric uncertainties are assumed to be time-varying and norm-bounded. Three classes of impulsive systems with time-delay are considered: the systems with stable/stabilizable continuous dynamics and unstable/unstabilizable discrete dynamics, the systems with unstable/unstabilizable continuous dynamics and stable/stabilizable discrete dynamics, and the systems where both the continuous-time dynamics and the discrete-time dynamics are stable/stabilizable. For each class of system, by using the Lyapunov function and Razumikhin-type techniques, sufficient conditions for robust stability, stabilization and H-infinity-control are developed in terms of linear matrix inequalities. Numerical examples are given which illustrate the applicability of the theoretical results. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：109 / 117
页数：9
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