Exponential H ∞  filtering for singular systems with Markovian jump parameters

Authors

  • Guoliang Wang,

    Corresponding author
    • School of Information and Control Engineering, Liaoning Shihua University, Fushun, Liaoning, China
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  • Qingling Zhang,

    1. Institute of Systems Science, Northeastern University, Shenyang, Liaoning, China
    2. Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang, Liaoning, China
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  • Chunyu Yang

    1. Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang, Liaoning, China
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Correspondence to: Guoliang Wang, School of Information and Control Engineering, Liaoning Shihua University, Fushun, Liaoning 113001, China.

E-mail: glwang_iss@yahoo.cn

SUMMARY

This paper is concerned with the H ∞  filter design for continuous-time singular systems with Markovian jump parameters, whose system mode is transmitted through an unreliable network. In contrast to the traditionally mode-dependent or mode-independent filtering method, a new partially mode-dependent filter is established via using a mode-dependent Lyapunov function, where the stochastic property of mode available to a filter is considered. Sufficient conditions for the existence of H ∞  filter are obtained as strict linear matrix inequalities. Finally, numerical examples are used to show the effectiveness of the given theoretical results. Copyright © 2012 John Wiley & Sons, Ltd.

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