Further results on H∞ control for Markovian jump systems with mode-dependent time-varying delays

Zhicheng Li; Sen Wang; Zhongyang Fei; Huijun Gao

doi:10.1109/ISSCAA.2010.5632256

Further results on H_∞ control for Markovian jump systems with mode-dependent time-varying delays

Zhicheng Li^*
, Sen Wang
, Zhongyang Fei
, Huijun Gao

^*Corresponding author for this work

School of Astronautics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

This paper studies the problem of H_∞ control for a class of Markov jump systems with mode-dependent time-varying delays. Using the idea of partitioning the lower delay bound, a novel Lyapunov-Krasovskii functional (LKF) is constructed. Then a new delay-dependent criterion on the stochastic stability is derived in the form of linear matrix inequality (LMI). Based on this, state feedback controllers, which guarantees the stochastic stability of the closed-loop system with given disturbance attenuation, is proposed. An illustrative example is provided to show the reduced conservatism of the proposed result.

Original language	English
Title of host publication	ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics
Pages	1521-1526
Number of pages	6
DOIs	https://doi.org/10.1109/ISSCAA.2010.5632256
State	Published - 2010
Event	3rd International Symposium on Systems and Control in Aeronautics and Astronautics, ISSCAA2010 - Harbin, China Duration: 8 Jun 2010 → 10 Jun 2010

Publication series

Name	ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics

Conference

Conference	3rd International Symposium on Systems and Control in Aeronautics and Astronautics, ISSCAA2010
Country/Territory	China
City	Harbin
Period	8/06/10 → 10/06/10

Keywords

Delay partitioning
H control
Markovian jump systems
Stochastic stability
Time-varying delays, mode-dependent delays

Access to Document

10.1109/ISSCAA.2010.5632256

Cite this

Li, Z., Wang, S., Fei, Z., & Gao, H. (2010). Further results on H_∞ control for Markovian jump systems with mode-dependent time-varying delays. In ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics (pp. 1521-1526). Article 5632256 (ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics). https://doi.org/10.1109/ISSCAA.2010.5632256

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title = "Further results on H∞ control for Markovian jump systems with mode-dependent time-varying delays",

abstract = "This paper studies the problem of H∞ control for a class of Markov jump systems with mode-dependent time-varying delays. Using the idea of partitioning the lower delay bound, a novel Lyapunov-Krasovskii functional (LKF) is constructed. Then a new delay-dependent criterion on the stochastic stability is derived in the form of linear matrix inequality (LMI). Based on this, state feedback controllers, which guarantees the stochastic stability of the closed-loop system with given disturbance attenuation, is proposed. An illustrative example is provided to show the reduced conservatism of the proposed result.",

keywords = "Delay partitioning, H control, Markovian jump systems, Stochastic stability, Time-varying delays, mode-dependent delays",

author = "Zhicheng Li and Sen Wang and Zhongyang Fei and Huijun Gao",

year = "2010",

doi = "10.1109/ISSCAA.2010.5632256",

language = "英语",

isbn = "9781424460441",

series = "ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics",

pages = "1521--1526",

booktitle = "ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics",

note = "3rd International Symposium on Systems and Control in Aeronautics and Astronautics, ISSCAA2010 ; Conference date: 08-06-2010 Through 10-06-2010",

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Li, Z, Wang, S, Fei, Z & Gao, H 2010, Further results on H_∞ control for Markovian jump systems with mode-dependent time-varying delays. in ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics., 5632256, ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics, pp. 1521-1526, 3rd International Symposium on Systems and Control in Aeronautics and Astronautics, ISSCAA2010, Harbin, China, 8/06/10. https://doi.org/10.1109/ISSCAA.2010.5632256

Further results on H_∞ control for Markovian jump systems with mode-dependent time-varying delays. / Li, Zhicheng; Wang, Sen; Fei, Zhongyang et al.
ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics. 2010. p. 1521-1526 5632256 (ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - This paper studies the problem of H∞ control for a class of Markov jump systems with mode-dependent time-varying delays. Using the idea of partitioning the lower delay bound, a novel Lyapunov-Krasovskii functional (LKF) is constructed. Then a new delay-dependent criterion on the stochastic stability is derived in the form of linear matrix inequality (LMI). Based on this, state feedback controllers, which guarantees the stochastic stability of the closed-loop system with given disturbance attenuation, is proposed. An illustrative example is provided to show the reduced conservatism of the proposed result.

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KW - H control

KW - Markovian jump systems

KW - Stochastic stability

KW - Time-varying delays, mode-dependent delays

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Li Z, Wang S, Fei Z, Gao H. Further results on H_∞ control for Markovian jump systems with mode-dependent time-varying delays. In ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics. 2010. p. 1521-1526. 5632256. (ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics). doi: 10.1109/ISSCAA.2010.5632256