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

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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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Authors and Affiliations

  1. Space Control and Inertial Technology Center, Harbin Institute of Technology, Harbin, 150001, PRC

    Xu-Dong Zhao & Qing-Shuang Zeng

Authors
  1. Xu-Dong Zhao
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  2. Qing-Shuang Zeng
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Correspondence to Xu-Dong Zhao.

Additional information

Xu-Dong Zhao received the B. Sc. degree in automation from Harbin Institute of Technology, PRC in 2005. He is currently a Ph.D. candidate in control science and engineering at the Space Control and Inertial Technology Center, Harbin Institute of Technology.

His research interests include Markovian jump systems, H ∞ control, and switched systems.

Qing-Shuang Zeng received the B. Sc., M. Sc., and Ph.D. degrees in control science and engineering from Harbin Institute of Technology, PRC in 1987, 1990, 1997, respectively. He is currently a professor at the Space Control and Inertial Technology Center, Harbin Institute of Technology.

His research interests include switched systems, control theory, H ∞ control, and inertial technology.

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Zhao, XD., Zeng, QS. H∞ output feedback control for stochastic systems with mode-dependent time-varying delays and Markovian jump parameters. Int. J. Autom. Comput. 7, 447–454 (2010). https://doi.org/10.1007/s11633-010-0526-4

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  • DOI: https://doi.org/10.1007/s11633-010-0526-4

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