Finite-time control for discrete-time Markovian jump systems with deterministic switching and time-delay

In this paper, the finite-time control problem is investigated for a class of discrete-time Markovian jump systems (MJLSs) with deterministic switching and time-delay. The considered systems are subject to a piecewise-constant transition probability (TP) matrix, which leads to both the deterministic...

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Published inInternational journal of control, automation, and systems Vol. 12; no. 3; pp. 473 - 485
Main Authors Wen, Jiwei, Peng, Li, Nguang, Sing Kiong
Format Journal Article
LanguageEnglish
Published Heidelberg Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.06.2014
Springer Nature B.V
제어·로봇·시스템학회
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ISSN1598-6446
2005-4092
DOI10.1007/s12555-013-0397-x

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Abstract In this paper, the finite-time control problem is investigated for a class of discrete-time Markovian jump systems (MJLSs) with deterministic switching and time-delay. The considered systems are subject to a piecewise-constant transition probability (TP) matrix, which leads to both the deterministic switches and stochastic jumps. First, the stochastic finite-time boundedness (SFTB) and l 2 gain analysis for the systems are studied by employing the average dwell time (ADT) approach. Note that a finite-time weighted l 2 gain is obtained to measure the disturbance attenuation level. Then, the mode-dependent and variation-dependent controller is designed such that the resulting closed-loop systems are stochastically finite-time bounded and have a guaranteed disturbance attenuation level. Finally, a numerical example is given to verify the potential of the developed results.
AbstractList In this paper, the finite-time control problem is investigated for a class of discrete-time Markovian jump systems (MJLSs) with deterministic switching and time-delay. The considered systems are subject to a piecewise-constant transition probability (TP) matrix, which leads to both the deterministic switches and stochastic jumps. First, the stochastic finite-time boundedness (SFTB) and l 2 gain analysis for the systems are studied by employing the average dwell time (ADT) approach. Note that a finite-time weighted l 2 gain is obtained to measure the disturbance attenuation level. Then, the mode-dependent and variation-dependent controller is designed such that the resulting closed-loop systems are stochastically finite-time bounded and have a guaranteed disturbance attenuation level. Finally, a numerical example is given to verify the potential of the developed results.
In this paper, the finite-time control problem is investigated for a class of discrete-time Markovian jump systems (MJLSs) with deterministic switching and time-delay. The considered systems are subject to a piecewise-constant transition probability (TP) matrix, which leads to both the deterministic switches and stochastic jumps. First, the stochastic finite-time boundedness (SFTB) and l sub(2) gain analysis for the systems are studied by employing the average dwell time (ADT) approach. Note that a finite-time weighted l sub(2) gain is obtained to measure the disturbance attenuation level. Then, the mode-dependent and variation-dependent controller is designed such that the resulting closed-loop systems are stochastically finite-time bounded and have a guaranteed disturbance attenuation level. Finally, a numerical example is given to verify the potential of the developed results.
In this paper, the finite-time control problem is investigated for a class of discrete-time Markovian jump systems (MJLSs) with deterministic switching and time-delay. The considered systems are subject to a piecewise-constant transition probability (TP) matrix, which leads to both the deterministic switches and stochastic jumps. First, the stochastic finite-time boundedness (SFTB) and l ^sub 2^ gain analysis for the systems are studied by employing the average dwell time (ADT) approach. Note that a finite-time weighted l ^sub 2^ gain is obtained to measure the disturbance attenuation level. Then, the mode-dependent and variation-dependent controller is designed such that the resulting closed-loop systems are stochastically finite-time bounded and have a guaranteed disturbance attenuation level. Finally, a numerical example is given to verify the potential of the developed results.[PUBLICATION ABSTRACT]
In this paper, the finite-time control problem is investigated for a class of discrete-time Markovian jump systems (MJLSs) with deterministic switching and time-delay. The considered systems are subject to a piecewise-constant transition probability (TP) matrix, which leads to both the deterministic switches and stochastic jumps. First, the stochastic finite-time boundedness (SFTB) and l2 gain analysis for the systems are studied by employing the average dwell time (ADT) approach. Note that a finite-time weighted l2 gain is obtained to measure the disturbance attenuation level. Then, the mode-dependent and variation-dependent controller is designed such that the resulting closed-loop systems are stochastically finite-time bounded and have a guaranteed disturbance attenuation level. Finally, a numerical example is given to verify the potential of the developed results. KCI Citation Count: 11
Author Wen, Jiwei
Nguang, Sing Kiong
Peng, Li
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  givenname: Sing Kiong
  surname: Nguang
  fullname: Nguang, Sing Kiong
  organization: Department of Electrical and Computer Engineering, University of Auckland
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Keywords finite-time weighted
switching dynamics Markovian jump linear system
finite-time boundedness
Average dwell time
gain
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SubjectTerms Attenuation
Closed loop systems
Control
Control systems
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Engineering
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Gain
Government spending
Markov processes
Mechatronics
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Regular Papers
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Title Finite-time control for discrete-time Markovian jump systems with deterministic switching and time-delay
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