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

被引：77

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：

080201 [机械制造及其自动化];

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

页码：1708 / 1714

页数：7

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