H∞ output feedback control for stochastic systems with mode-dependent time-varying delays and Markovian jump parameters

Xu Dong Zhao; Qing Shuang Zeng

doi:10.1007/s11633-010-0526-4

H_∞ output feedback control for stochastic systems with mode-dependent time-varying delays and Markovian jump parameters

Xu Dong Zhao^*
, Qing Shuang Zeng

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

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

9 Scopus citations

Abstract

This paper deals with the H_∞ control problems of Markovian jump systems with mode-dependent time delays. First, considering the mode-dependent time delays, a different delay-dependent H_∞ performance condition for Markovian jump systems is proposed by constructing an improved Lyapunov-Krasovskii function. Based on this new H_∞ disturbance attenuation criterion, a full-order dynamic output feedback controller that ensures the exponential mean-square stability and a prescribed H_∞ performance level for the resulting closed-loop system is designed. Illustrative numerical examples are provided to demonstrate the effectiveness of the proposed approach.

Original language	English
Pages (from-to)	447-454
Number of pages	8
Journal	International Journal of Automation and Computing
Volume	7
Issue number	4
DOIs	https://doi.org/10.1007/s11633-010-0526-4
State	Published - Nov 2010

Keywords

H performance
Markovian jump systems
linear matrix inequality (LMI)
output feedback control
time-varying delay

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10.1007/s11633-010-0526-4

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title = "H∞ output feedback control for stochastic systems with mode-dependent time-varying delays and Markovian jump parameters",

abstract = "This paper deals with the H∞ control problems of Markovian jump systems with mode-dependent time delays. First, considering the mode-dependent time delays, a different delay-dependent H∞ performance condition for Markovian jump systems is proposed by constructing an improved Lyapunov-Krasovskii function. Based on this new H∞ disturbance attenuation criterion, a full-order dynamic output feedback controller that ensures the exponential mean-square stability and a prescribed H∞ performance level for the resulting closed-loop system is designed. Illustrative numerical examples are provided to demonstrate the effectiveness of the proposed approach.",

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AU - Zhao, Xu Dong

AU - Zeng, Qing Shuang

PY - 2010/11

Y1 - 2010/11

N2 - This paper deals with the H∞ control problems of Markovian jump systems with mode-dependent time delays. First, considering the mode-dependent time delays, a different delay-dependent H∞ performance condition for Markovian jump systems is proposed by constructing an improved Lyapunov-Krasovskii function. Based on this new H∞ disturbance attenuation criterion, a full-order dynamic output feedback controller that ensures the exponential mean-square stability and a prescribed H∞ performance level for the resulting closed-loop system is designed. Illustrative numerical examples are provided to demonstrate the effectiveness of the proposed approach.

AB - This paper deals with the H∞ control problems of Markovian jump systems with mode-dependent time delays. First, considering the mode-dependent time delays, a different delay-dependent H∞ performance condition for Markovian jump systems is proposed by constructing an improved Lyapunov-Krasovskii function. Based on this new H∞ disturbance attenuation criterion, a full-order dynamic output feedback controller that ensures the exponential mean-square stability and a prescribed H∞ performance level for the resulting closed-loop system is designed. Illustrative numerical examples are provided to demonstrate the effectiveness of the proposed approach.

KW - H performance

KW - Markovian jump systems

KW - linear matrix inequality (LMI)

KW - output feedback control

KW - time-varying delay

UR - https://www.scopus.com/pages/publications/78449257504

U2 - 10.1007/s11633-010-0526-4

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M3 - 文章

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JO - International Journal of Automation and Computing

JF - International Journal of Automation and Computing

IS - 4

ER -

H_∞ output feedback control for stochastic systems with mode-dependent time-varying delays and Markovian jump parameters

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Keywords

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