Delay-dependent H performance analysis and filtering for Markovian jump systems with interval time-varying delays

Authors

  • Xudong Zhao,

    Corresponding author
    1. Space Control and Inertial Technology Institute, Harbin Institute of Technology, Yikuang Street, 150001 Harbin, People's Republic of China
    • Space Control and Inertial Technology Institute 310, Harbin Institute of Technology, Yikuang Street, 150001 Harbin, People's Republic of China
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  • Qingshuang Zeng

    1. Space Control and Inertial Technology Institute, Harbin Institute of Technology, Yikuang Street, 150001 Harbin, People's Republic of China
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Abstract

This paper investigates the problems of H disturbance attenuation and H filtering for Markovian jump systems with interval time-varying delays. In terms of linear matrix inequalities, a less conservative delay-range-dependent H performance condition for Markovian jump systems is proposed by constructing a different Lyapunov–Krasovskii functional. The resulting criterion has advantages over some previous ones in that they involve fewer matrix variables, but has less conservatism. Based on this new condition, an improved H filtering algorithm is developed. Numerical examples are provided to demonstrate the efficiency and reduced conservatism of the results in this paper. Copyright © 2009 John Wiley & Sons, Ltd.

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