A poly-quadratic stability based approach for linear switched systems

被引：37

作者：

Daafouz, J

Millerioux, G

Iung, C

机构：

[1] ENSEM, CNRS, UMR 7039, CRAN, F-54516 Vandoeuvre Les Nancy, France

[2] ESSTIN, CNRS, UMR 7039, CRAN, F-54500 Vandoeuvre Les Nancy, France

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2002年 / 75卷 / 16-17期

关键词：

D O I：

10.1080/0020717021000023735

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, a link between poly-quadratic stability and stability of arbitrary switching systems is established. Polyquadratic stability aims to check asymptotic stability of a polytopic system by means of polytopic quadratic Lyapunov functions. The necessary and sufficient condition of poly-quadratic stability proposed in Daafouz and Bernussou (2001) is shown to be immediately applicable to a class of switched control and observer design problems. Chaos synchronization for which the transmitter is described by a piecewise linear map is presented as an application.

引用

页码：1302 / 1310

页数：9

共 19 条

[1] On strict positive real systems design: guaranteed cost and robustness issues [J].