Stabilization of switched delay systems with polytopic uncertainties under asynchronous switching

被引：52

作者：

Wang, Rui ^{[1
]}

Shi, Peng ^{[2
,3
]}

Wu, Zhi-Gang ^{[1
]}

Sun, Ying-Tao ^{[4
]}

机构：

[1] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Sch Aeronaut & Astronaut, Dalian 116024, Peoples R China

[2] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia

[3] Victoria Univ, Coll Engn & Sci, Melbourne, Vic 8001, Australia

[4] Dalian Univ Technol, Res Ctr Informat & Control, Dalian 116024, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 08期

关键词：

SLIDING MODE CONTROL; EXPONENTIAL STABILITY ANALYSIS; TIME-DELAY; LINEAR-SYSTEMS; HYBRID SYSTEMS;

D O I：

10.1016/j.jfranklin.2013.05.023

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 problem of stabilization for a class of switched delay systems with polytopic type uncertainties under asynchronous switching is investigated. When the switching of the controllers has a lag to the switching of subsystems, i.e. the switching signal of the switched controller involves delay, parameter-dependent Lyapunov functionals are constructed, which are allowed to increase during the running time of active subsystems with the mismatched controller. Based on the average dwell time method, sufficient conditions for exponential stability are developed for a class of switching signals. Finally, a river pollution control problem is given to demonstrate the feasibility and effectiveness of the proposed design techniques. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：2028 / 2043

页数：16

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