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 in | International journal of control, automation, and systems Vol. 12; no. 3; pp. 473 - 485 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
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 |
Subjects | |
Online Access | Get full text |
ISSN | 1598-6446 2005-4092 |
DOI | 10.1007/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. |
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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 |
Author_xml | – sequence: 1 givenname: Jiwei surname: Wen fullname: Wen, Jiwei email: wjw8143@jiangnan.edu.cn organization: Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University – sequence: 2 givenname: Li surname: Peng fullname: Peng, Li organization: Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University – sequence: 3 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 Controllers Disturbances Engineering Euclidean space Gain Government spending Markov processes Mechatronics Process controls Regular Papers Robotics Stochasticity Studies Switches Switching 제어계측공학 |
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Title | Finite-time control for discrete-time Markovian jump systems with deterministic switching and time-delay |
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