Sliding mode control for Ito stochastic systems with Markovian switching

被引：225

作者：

Niu, Yugang ^{[1
]}

Ho, Daniel W. C.

Wang, Xingyu

机构：

[1] E China Univ Sci & Technol, Sch Informat Sci Engn, Shanghai 200237, Peoples R China

[2] City Univ Hong Kong, Dept Math, Kowloon, Peoples R China

来源：

AUTOMATICA | 2007年 / 43卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Ito stochastic systems; Markovian switching; sliding mode control; nonlinearities; disturbance attenuation;

D O I：

10.1016/j.automatica.2007.02.023

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the problem of sliding mode control (SMC) for a class of nonlinear uncertain stochastic systems with Markovian switching. By introducing some specified matrices, the connections among the designed sliding surfaces corresponding to every mode are established. Furthermore, the present sliding mode controller including the transition rates of modes can cope with the effect of Markovian switching. By means of linear matrix inequalities (LMIs) with equality constraint, sufficient conditions are derived such that the sliding motions on the specified sliding surfaces are stochastically stable with gamma-disturbance attenuation level. Finally, a numerical example is given to illustrate the applicability of the present method. (c) 2007 Published by Elsevier Ltd.

引用

页码：1784 / 1790

页数：7

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