Stability analysis for discrete-time switched systems with unstable subsystems by a mode-dependent average dwell time approach

被引：118

作者：

Zhang, Hongbin ^{[1
,2
]}

Xie, Dehua ^{[2
]}

Zhang, Hongyu ^{[2
]}

Wang, Gang ^{[2
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210049, Jiangsu, Peoples R China

[2] Univ Elect Sci & Technol China, Sch Elect Engn, Chengdu 611731, Sichuan, Peoples R China

来源：

ISA TRANSACTIONS | 2014年 / 53卷 / 04期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Switched systems; Stability; Mode-dependent average dwell time; Unstable subsystems; LINEAR-SYSTEMS; STABILIZATION; DESIGN;

D O I：

10.1016/j.isatra.2014.05.020

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 mainly intends to present new stability results of a discrete-time switched system with unstable subsystems. By adopting multiple Lyapunov functions' (MLFs') method, new and less conservative stability conditions are derived in terms of a set of numerical feasible linear matrix inequalities (LMIs) with mode-dependent average dwell time (MDADT) techniques. Different from previous literatures, unstable subsystems are considered under two situations in this paper. It is shown that the discrete-time switched system can achieve exponential stability under a slow switching scheme and even in the presence of fast switching of unstable subsystems. Finally a numerical example is given to demonstrate the effectiveness of the proposed method. (C) 2014 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：1081 / 1086

页数：6

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