Finite-time sliding mode control for networked singular Markovian jump systems with packet losses: A delay-fractioning scheme
The paper is concerned with the finite-time sliding mode control (SMC) problem for a class of discrete networked singular Markovian jump systems (SMJSs) subject to packet losses (PLs) via the delay-fractioning approach. A random variable obeying the Bernoulli distribution is used to depict the pheno...
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Published in | Neurocomputing (Amsterdam) Vol. 385; pp. 48 - 62 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
14.04.2020
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Online Access | Get full text |
ISSN | 0925-2312 1872-8286 |
DOI | 10.1016/j.neucom.2019.12.064 |
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Abstract | The paper is concerned with the finite-time sliding mode control (SMC) problem for a class of discrete networked singular Markovian jump systems (SMJSs) subject to packet losses (PLs) via the delay-fractioning approach. A random variable obeying the Bernoulli distribution is used to depict the phenomenon of PLs, which is frequently encountered in the practical engineering especially during the networked transmission. A key issue to be discussed is how to guarantee both the singular stochastic finite-time boundedness (SSFTB) of the resultant sliding mode dynamic systems and the reachability of the pre-selected sliding surface. Accordingly, a sufficient condition is obtained to ensure the SSFTB of sliding motion based on delay-fractioning method and linear matrix inequality technique. Furthermore, a new SMC mechanism is proposed to compensate the influence induced by LPs and ensure the reachability condition of pre-selected sliding surface simultaneously. Finally, the effectiveness of the proposed SMC approach is tested by a simulation example. |
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AbstractList | The paper is concerned with the finite-time sliding mode control (SMC) problem for a class of discrete networked singular Markovian jump systems (SMJSs) subject to packet losses (PLs) via the delay-fractioning approach. A random variable obeying the Bernoulli distribution is used to depict the phenomenon of PLs, which is frequently encountered in the practical engineering especially during the networked transmission. A key issue to be discussed is how to guarantee both the singular stochastic finite-time boundedness (SSFTB) of the resultant sliding mode dynamic systems and the reachability of the pre-selected sliding surface. Accordingly, a sufficient condition is obtained to ensure the SSFTB of sliding motion based on delay-fractioning method and linear matrix inequality technique. Furthermore, a new SMC mechanism is proposed to compensate the influence induced by LPs and ensure the reachability condition of pre-selected sliding surface simultaneously. Finally, the effectiveness of the proposed SMC approach is tested by a simulation example. |
Author | Cui, Yunfei Hu, Jun Yang, Guang Wu, Zhihui |
Author_xml | – sequence: 1 givenname: Yunfei surname: Cui fullname: Cui, Yunfei organization: Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China – sequence: 2 givenname: Jun orcidid: 0000-0002-7852-5064 surname: Hu fullname: Hu, Jun email: jhu@hrbust.edu.cn organization: Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China – sequence: 3 givenname: Zhihui surname: Wu fullname: Wu, Zhihui organization: Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China – sequence: 4 givenname: Guang surname: Yang fullname: Yang, Guang organization: Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China |
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Keywords | Networked systems Singular Markovian jump systems Stochastic finite-time boundedness Packet losses Sliding mode control |
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SubjectTerms | Networked systems Packet losses Singular Markovian jump systems Sliding mode control Stochastic finite-time boundedness |
Title | Finite-time sliding mode control for networked singular Markovian jump systems with packet losses: A delay-fractioning scheme |
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