A new discrete-time robust stability conditions

被引：1125

作者：

de Oliveira, MC

Bernussou, J

Geromel, JC

机构：

[1] Univ Estadual Campinas, Sch Elect & Comp Engn, LAC DT, BR-13081970 Campinas, SP, Brazil

[2] CNRS, Automat Anal Syst Lab, F-31077 Toulouse 4, France

来源：

SYSTEMS & CONTROL LETTERS | 1999年 / 37卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

robust stability; parameter-dependent Lyapunov functions; linear matrix inequalities;

D O I：

10.1016/S0167-6911(99)00035-3

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 new robust stability condition for uncertain discrete-time systems with convex polytopic uncertainty is given. It enables to check stability using parameter-dependent Lyapunov functions which an derived from LMI conditions. It is shown that this new condition provides better results than the classical quadratic stability. Besides the use of a parameter-dependent Lyapunov function, this condition exhibits a kind of decoupling between the Lyapunov and the system matrices which may be explored for control synthesis purposes. A numerical example illustrates the results. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：261 / 265

页数：5

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