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

被引：117
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
收藏
页码：1081 / 1086
页数：6
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