Stability analysis of cyclic switched linear systems: An average cycle dwell time approach

被引：24

作者：

Sun, Tao ^{[1
]}

Liu, Tao ^{[2
]}

Sun, Xi-Ming ^{[1
]}

机构：

[1] Dalian Univ Technol, Minist Educ, Key Lab Intelligent Control & Optimizat Ind Equip, Dalian 116024, Peoples R China

[2] Univ Hong Kong, Dept Elect & Elect Engn, Hong Kong, Peoples R China

来源：

INFORMATION SCIENCES | 2021年 / 544卷

基金：

中国国家自然科学基金; 国家重点研发计划;

关键词：

Stability; Cyclic switched linear systems; Average cycle dwell time; Stable (or unstable) cyclic switching; sequence dependent average cycle dwell time; H-INFINITY CONTROL; S FUZZY-SYSTEMS; NONLINEAR-SYSTEMS; L-2-GAIN ANALYSIS; POSITIVE SYSTEMS; ROBUST STABILITY; FEEDBACK CONTROL; DELAY SYSTEMS; STABILIZATION; INPUT;

D O I：

10.1016/j.ins.2020.07.053

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the stability problem of switched linear systems with a class of cyclic switching signals is investigated. Firstly, a new concept of average cycle dwell time (ACDT) is introduced to relax the conservativeness of cycle dwell time that is extensively used in the literature. In addition, the ACDT is further extended to stable cyclic switching sequence dependent average cycle dwell time (S-ACDT) and unstable cyclic switching sequence dependent average cycle dwell time (U-ACDT). Secondly, the stability criteria for cyclic switched linear (or nonlinear) systems with ACDT or both S-ACDT and U-ACDT are derived by resorting to a technique that uses multiple Lyapunov functions. Both cyclic switched linear systems and cyclic switched nonlinear systems which contain all stable subsystems or partly stable subsystems are studied. Finally, a numerical example is given to demonstrate the feasibility of the proposed techniques. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：227 / 237

页数：11

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