Two-Mode-Dependent Controller Design for Networked Markov System with Time-Delay in Both S/C Link and C/A Link

Yanfeng Wang; Ping He; Heng Li; Xiaoyue Sun; Wei Wei; Haoyang Mi; Yangmin Li

doi:10.1109/ACCESS.2020.2980566

Two-Mode-Dependent Controller Design for Networked Markov System with Time-Delay in Both S/C Link and C/A Link

Yanfeng Wang
, Ping He
, Heng Li
, Xiaoyue Sun
, Wei Wei
, Haoyang Mi
, Yangmin Li

Huzhou University
Jinan University
Hong Kong Polytechnic University
Sichuan University of Science & Engineering
Xi'an University of Technology
National Engineering Research Center for Advanced Polymer Processing Technology

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The two-mode-dependent controller design problem for networked Markov system with time-delay in both S/C link and C/A link is investigated in this paper. Two independent Markov chains are used to describe the time-delay in S/C link and C/A link. A two-mode-dependent state feedback controller is proposed that depends on both the S/C time-delay and the mode of the Markov controlled plant. The sufficient conditions on the stochastic stability of the closed-loop system are established. The design method of the controller is also proposed on condition that the transition probability matrices of S/C time-delay and mode of the controlled plant are completely known and partly unknown respectively. A numerical example is exploited to illustrate the effectiveness and superiority of the proposed method.

Original language	English
Article number	9035424
Pages (from-to)	56181-56190
Number of pages	10
Journal	IEEE Access
Volume	8
DOIs	https://doi.org/10.1109/ACCESS.2020.2980566
State	Published - 2020
Externally published	Yes

Keywords

Markov jump system
closed-loop system
stabilization
stochastic stability
two-mode-dependent

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10.1109/ACCESS.2020.2980566

Cite this

@article{0721fce265484e2eba66260a66e3efaf,

title = "Two-Mode-Dependent Controller Design for Networked Markov System with Time-Delay in Both S/C Link and C/A Link",

abstract = "The two-mode-dependent controller design problem for networked Markov system with time-delay in both S/C link and C/A link is investigated in this paper. Two independent Markov chains are used to describe the time-delay in S/C link and C/A link. A two-mode-dependent state feedback controller is proposed that depends on both the S/C time-delay and the mode of the Markov controlled plant. The sufficient conditions on the stochastic stability of the closed-loop system are established. The design method of the controller is also proposed on condition that the transition probability matrices of S/C time-delay and mode of the controlled plant are completely known and partly unknown respectively. A numerical example is exploited to illustrate the effectiveness and superiority of the proposed method.",

keywords = "Markov jump system, closed-loop system, stabilization, stochastic stability, two-mode-dependent",

author = "Yanfeng Wang and Ping He and Heng Li and Xiaoyue Sun and Wei Wei and Haoyang Mi and Yangmin Li",

note = "Publisher Copyright: {\textcopyright} 2013 IEEE.",

year = "2020",

doi = "10.1109/ACCESS.2020.2980566",

language = "英语",

volume = "8",

pages = "56181--56190",

journal = "IEEE Access",

issn = "2169-3536",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - JOUR

T1 - Two-Mode-Dependent Controller Design for Networked Markov System with Time-Delay in Both S/C Link and C/A Link

AU - Wang, Yanfeng

AU - He, Ping

AU - Li, Heng

AU - Sun, Xiaoyue

AU - Wei, Wei

AU - Mi, Haoyang

AU - Li, Yangmin

PY - 2020

Y1 - 2020

N2 - The two-mode-dependent controller design problem for networked Markov system with time-delay in both S/C link and C/A link is investigated in this paper. Two independent Markov chains are used to describe the time-delay in S/C link and C/A link. A two-mode-dependent state feedback controller is proposed that depends on both the S/C time-delay and the mode of the Markov controlled plant. The sufficient conditions on the stochastic stability of the closed-loop system are established. The design method of the controller is also proposed on condition that the transition probability matrices of S/C time-delay and mode of the controlled plant are completely known and partly unknown respectively. A numerical example is exploited to illustrate the effectiveness and superiority of the proposed method.

AB - The two-mode-dependent controller design problem for networked Markov system with time-delay in both S/C link and C/A link is investigated in this paper. Two independent Markov chains are used to describe the time-delay in S/C link and C/A link. A two-mode-dependent state feedback controller is proposed that depends on both the S/C time-delay and the mode of the Markov controlled plant. The sufficient conditions on the stochastic stability of the closed-loop system are established. The design method of the controller is also proposed on condition that the transition probability matrices of S/C time-delay and mode of the controlled plant are completely known and partly unknown respectively. A numerical example is exploited to illustrate the effectiveness and superiority of the proposed method.

KW - Markov jump system

KW - closed-loop system

KW - stabilization

KW - stochastic stability

KW - two-mode-dependent

UR - https://www.scopus.com/pages/publications/85082953940

U2 - 10.1109/ACCESS.2020.2980566

DO - 10.1109/ACCESS.2020.2980566

M3 - 文章

AN - SCOPUS:85082953940

SN - 2169-3536

VL - 8

SP - 56181

EP - 56190

JO - IEEE Access

JF - IEEE Access

M1 - 9035424

ER -

Two-Mode-Dependent Controller Design for Networked Markov System with Time-Delay in Both S/C Link and C/A Link

Abstract

Keywords

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