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 inNeurocomputing (Amsterdam) Vol. 385; pp. 48 - 62
Main Authors Cui, Yunfei, Hu, Jun, Wu, Zhihui, Yang, Guang
Format Journal Article
LanguageEnglish
Published Elsevier B.V 14.04.2020
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Online AccessGet full text
ISSN0925-2312
1872-8286
DOI10.1016/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.
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
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  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
Language English
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Snippet The paper is concerned with the finite-time sliding mode control (SMC) problem for a class of discrete networked singular Markovian jump systems (SMJSs)...
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StartPage 48
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
URI https://dx.doi.org/10.1016/j.neucom.2019.12.064
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