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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Published in | IEEE transactions on automatic control Vol. 62; no. 8; pp. 4266 - 4273 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
IEEE
01.08.2017
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Subjects | |
Online Access | Get full text |
ISSN | 0018-9286 1558-2523 |
DOI | 10.1109/TAC.2017.2687048 |
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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. |
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AbstractList | 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. |
Author | Peng Shi Zhiguang Feng |
Author_xml | – sequence: 1 givenname: Zhiguang surname: Feng fullname: Feng, Zhiguang – sequence: 2 givenname: Peng surname: Shi fullname: Shi, Peng |
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CODEN | IETAA9 |
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Snippet | An investigation has been made into the sliding mode control (SMC) problem for singular stochastic Markov systems (SSMSs) in this paper. By using replacement... |
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SubjectTerms | Erbium Linear matrix inequalities Markov processes Numerical stability Singular systems Sliding mode control sliding mode control (SMC) Stability analysis stochastic markov systems |
Title | Sliding Mode Control of Singular Stochastic Markov Jump Systems |
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