Integral sliding mode control for stochastic Markovian jump system with time-varying delay

The mean-square exponential stabilization problem of stochastic Markovian jump system subject to time-varying delays and uncertainties has been investigated by using integral sliding mode control technique. Firstly, in order that the system trajectories can be kept on the integral sliding surface al...

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Bibliographic Details
Published inNeurocomputing (Amsterdam) Vol. 179; pp. 118 - 125
Main Authors Ma, Li, Wang, Changqing, Ding, Shihong, Dong, Lili
Format Journal Article
LanguageEnglish
Published Elsevier B.V 29.02.2016
Subjects
Delay
Design engineering
Integrals
Markov processes
Markovian jump
Mathematical models
Mean-square exponential stability
Sliding
Sliding mode control
Stochastic system
Stochasticity
Time-varying delays
Time-varying delays
Mean-square exponential stability
Stochastic system
Markovian jump
Sliding mode control
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Summary:The mean-square exponential stabilization problem of stochastic Markovian jump system subject to time-varying delays and uncertainties has been investigated by using integral sliding mode control technique. Firstly, in order that the system trajectories can be kept on the integral sliding surface almost surely since the initial time, an integral sliding surface is constructed by properly choosing some matrices. On this basis, a novel sliding mode controller is designed to guarantee that the states will be kept on the sliding surface. Then, the sufficient condition in terms of linear matrix inequalities is presented to ensure that the mean-square exponential stability of the states can be guaranteed. Finally, a numerical example is provided to illustrate the effectiveness of the proposed design method.
Bibliography:ObjectType-Article-1
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content type line 23
ISSN:0925-2312
1872-8286
DOI:10.1016/j.neucom.2015.11.071