文献类型：期刊文献

英文题名：Sliding mode control for Ito stochastic systems with Markovian switching

作者：Niu, Yugang; 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

年份：2007

卷号：43

期号：10

起止页码：1784

外文期刊名：AUTOMATICA

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000250270300010)】；

语种：英文

外文关键词：Ito stochastic systems; Markovian switching; sliding mode control; nonlinearities; disturbance attenuation

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.