EXPONENTIAL STABILITY AND ASYNCHRONOUS STABILIZATION OF SWITCHED SYSTEMS WITH STABLE AND UNSTABLE SUBSYSTEMS

被引：9
|
作者：
Zhang, Hongbin [1 ]
Mao, Yanbing [1 ]
Gao, Yansong [1 ]
机构：
[1] Univ Elect Sci & Technol China, Ctr Nonlinear & Complex Syst, Chengdu 611731, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2013年 / 15卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Switched systems; CPLFs; minimum dwell time; exponential stability; asynchronous switching; DWELL TIME;
D O I：
10.1002/asjc.712
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 deals with the exponential stability and asynchronous stabilization of continuous-time switched systems. By delicately constructed piecewise Lyapunov-like functions and the minimum dwell time switching method, exponential stability of the switched systems with stable or unstable subsystems is obtained. Based on the result of the stability, the problem of controller design of the switched systems under asynchronous switching is also solved, and the delay that causes asynchronous phenomena can be unbounded. The stability results and control laws of the switched systems are formulated in the form of linear matrix inequalities that are numerically feasible. Finally, two illustrative numerical examples are presented to show the effectiveness of the obtained theoretical results.
引用
收藏
页码：1426 / 1433
页数：8
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