Switching stabilizability for continuous-time uncertain switched linear systems

被引：119

作者：

Lin, Hai ^{[1
]}

Antsaklis, Panos J.

机构：

[1] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117576, Singapore

[2] Univ Notre Dame, Dept Elect Engn, Notre Dame, IN 46556 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2007年 / 52卷 / 04期

基金：

美国国家科学基金会;

关键词：

set-induced Lyapunov functions; stabilization; switched systems; uncertainty;

D O I：

10.1109/TAC.2007.894515

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 switching stabilizability problem for a class of continuous-time switched linear systems with time-variant parametric uncertainties. First, a necessary and sufficient condition for the asymptotic stabilizability of such uncertain switched linear system is derived, under the assumption that the closed-loop switched system does not generate sliding motions. Then, an additional condition is introduced to exclude the possibility of unstable sliding motions. Finally, a necessary and sufficient for the asymptotic stabilizability of such continuous-time uncertain switched linear systems is presented. This result improves upon conditions found in the literature which are either sufficient only or necessary only.

引用

页码：633 / 646

页数：14

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