Sliding Mode Control of Singular Stochastic Markov Jump Systems

An investigation has been made into the sliding mode control (SMC) problem for singular stochastic Markov systems (SSMSs) in this paper. By using replacement of matrix variables, a new mean square admissibility criterion of SSMSs is proposed first. Based on this admissibility criterion, the desired...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 62; no. 8; pp. 4266 - 4273
Main Authors Feng, Zhiguang, Shi, Peng
Format Journal Article
LanguageEnglish
Published IEEE 01.08.2017
Subjects
Erbium
Linear matrix inequalities
Markov processes
Numerical stability
Singular systems
Sliding mode control
sliding mode control (SMC)
Stability analysis
stochastic markov systems
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Summary:An investigation has been made into the sliding mode control (SMC) problem for singular stochastic Markov systems (SSMSs) in this paper. By using replacement of matrix variables, a new mean square admissibility criterion of SSMSs is proposed first. Based on this admissibility criterion, the desired state-feedback controller is designed to guarantee the closed-loop system to be mean-square admissible. Then, the obtained results given in the form of strict linear matrix inequalities are applied to solve SMC problem of SSMSs. In order to illustrate the workability and applicability of the theoretic results developed, numerical examples are provided.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2017.2687048