Delay-dependent robust stability and L2-gain analysis of a class of nonlinear time-delay systems

被引：43

作者：

Coutinho, Daniel F. ^{[2
]}

de Souza, Carlos E. ^{[1
]}

机构：

[1] LNCC MCT, Dept Syst & Control, BR-25651075 Petropolis, RJ, Brazil

[2] PUC RS, Grp Automat & Control Syst, BR-90619900 Porto Alegre, RS, Brazil

来源：

AUTOMATICA | 2008年 / 44卷 / 08期

关键词：

time-delay systems; nonlinear systems; uncertain systems; robust stability; domain of attraction; L-2-gain;

D O I：

10.1016/j.automatica.2008.01.003

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A convex approach to robust regional stability analysis of a class of nonlinear state-delayed systems subject to convex-bounded parameter uncertainty is proposed. Delay-dependent conditions are developed to ensure system robust local stability and obtain an estimate of a domain of attraction of the origin inside a given polytopic region of the state-space. This approach is then extended to provide a delay-dependent solution to the problem of L-2-gain analysis. The proposed approach is based on it Lyapunov-Krasovskii functional with polynomial dependence on the system state and uncertain parameters and is formulated in terms of linear matrix inequalities. Numerical examples illustrate the potentials of the derived results. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2006 / 2018

页数：13

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