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

页码：109 / 117

页数：9

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