Stabilizing switching design for switched linear systems: A state-feedback path-wise switching approach

被引：45
作者：
Sun, Zhendong [1 ]
机构：
[1] S China Univ Technol, Coll Automat Sci & Engn, Ctr Control & Optimizat, Guangzhou 510640, Guangdong, Peoples R China
来源：
AUTOMATICA | 2009年 / 45卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Switched linear systems; Switching signal; Stabilization; State-feedback path-wise switching; QUADRATIC STABILIZATION; LYAPUNOV FUNCTIONS; HYBRID SYSTEMS; STABILIZABILITY;
D O I：
10.1016/j.automatica.2009.03.001
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 addresses the problem of switching stabilization for discrete-time switched linear systems. Based on the abstraction-aggregation methodology, we propose a state-feedback path-wise switching law, which is a state-feedback concatenation from a finite set of switching paths each defined over a finite time interval. We prove that the set of state-feedback path-wise switching laws is universal in the sense that any stabilizable switched linear system admits a stabilizing switching law in this set. We further develop a computational procedure to calculate a stabilizing switching law in the set. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1708 / 1714
页数：7
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