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Sliding Mode Control of Singular Stochastic Markov Jump Systems

Journal Article


Abstract


  • 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.

Publication Date


  • 2017

Citation


  • Feng, Z., & Shi, P. (2017). Sliding Mode Control of Singular Stochastic Markov Jump Systems. IEEE Transactions on Automatic Control, 62(8), 4266-4273. doi:10.1109/TAC.2017.2687048

Scopus Eid


  • 2-s2.0-85027418884

Web Of Science Accession Number


Start Page


  • 4266

End Page


  • 4273

Volume


  • 62

Issue


  • 8

Abstract


  • 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.

Publication Date


  • 2017

Citation


  • Feng, Z., & Shi, P. (2017). Sliding Mode Control of Singular Stochastic Markov Jump Systems. IEEE Transactions on Automatic Control, 62(8), 4266-4273. doi:10.1109/TAC.2017.2687048

Scopus Eid


  • 2-s2.0-85027418884

Web Of Science Accession Number


Start Page


  • 4266

End Page


  • 4273

Volume


  • 62

Issue


  • 8