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

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

1 Citation (Scopus)

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	International Symposium on Systems and Control in Aeronautics and Astronautics (ISSCAA)
Place of Publication	Piscataway (New Jersey)
Publisher	IEEE
Pages	1521-1526
Number of pages	6
ISBN (Electronic)	978-1-4244-6045-8
ISBN (Print)	978-1-4244-6043-4
DOIs	https://doi.org/10.1109/ISSCAA.2010.5632256
Publication status	Published - 11 Nov 2010

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10.1109/ISSCAA.2010.5632256

http://ieeexplore.ieee.org/document/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.",

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

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Further results on H∞ control for Markovian jump systems with mode-dependent time-varying delays. / Li, Zhicheng; Wang, Sen; Fei, Zhongyang et al.
International Symposium on Systems and Control in Aeronautics and Astronautics (ISSCAA). Piscataway (New Jersey): IEEE, 2010. p. 1521-1526 5632256.

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

TY - GEN

T1 - Further results on H∞ control for Markovian jump systems with mode-dependent time-varying delays

AU - Li, Zhicheng

AU - Wang, Sen

AU - Fei, Zhongyang

AU - Gao, Huijun

PY - 2010/11/11

Y1 - 2010/11/11

N2 - 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.

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.

UR - http://Further results on H∞ control for Markovian jump

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DO - 10.1109/ISSCAA.2010.5632256

M3 - Conference contribution

SN - 978-1-4244-6043-4

SP - 1521

EP - 1526

BT - International Symposium on Systems and Control in Aeronautics and Astronautics (ISSCAA)

PB - IEEE

CY - Piscataway (New Jersey)

ER -

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

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