Robust reliable stabilization of stochastic switched nonlinear systems under asynchronous switching

被引：61

作者：

Xiang, Zhengrong ^{[1
]}

Wang, Ronghao ^{[2
]}

Chen, Qingwei ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China

[2] PLA Univ Sci & Technol, Engn Inst Engn Corps, Nanjing 210007, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 19期

基金：

中国国家自然科学基金;

关键词：

Robust stabilization; Reliable control; Stochastic switched systems; Asynchronous switching; Almost surely exponential stability; H-INFINITY CONTROL; GUARANTEED COST CONTROL; TIME-DELAY SYSTEMS; LINEAR-SYSTEMS; STABILITY;

D O I：

10.1016/j.amc.2011.02.076

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the problem of robust reliable control for a class of uncertain stochastic switched nonlinear systems under asynchronous switching, where the switching instants of the controller experience delays with respect to those of the system. A design scheme for the reliable controller is proposed to guarantee almost surely exponential stability for stochastic switched systems with actuator failures, and the dwell time approach is utilized for the stability analysis. Then the approach is extended to take into account stochastic switched system with Lipschitz nonlinearities and structured uncertainties. Finally, a numerical example is employed to verify the proposed method. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：7725 / 7736

页数：12

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