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Non-fragile Fuzzy Dissipative Control for Singular Markovian Jump Systems with Time-Varying Delay

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Abstract

This paper investigates the problem of non-fragile fuzzy dissipative control for singular Markovian jump systems with time-varying delay. Based on the mode-dependent Lyapunov–Krasovskii function and the reciprocally convex combination lemma, sufficient conditions are obtained. Then, a series of fuzzy state feedback controllers under controller gain perturbations are designed by solving the linear matrix inequalities, which guarantee that the resulted closed-loop system is stochastically admissible and dissipative. Finally, some numerical examples are provided to show the effectiveness and superiority of the proposed approaches.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China No. 61273004, and the Natural Science Foundation of Hebei Province No. F2014203085.

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Authors and Affiliations

  1. School of Automation, Beijing Institute of Technology, Beijing, 100081, People’s Republic of China

    Menghua Chen

  2. School of Science, Yanshan University, Qinhuangdao, Hebei, People’s Republic of China

    Yuechao Ma

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  1. Menghua Chen
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  2. Yuechao Ma
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Correspondence to Menghua Chen.

Additional information

This work is supported by National Natural Science Foundation of China No. 61273004 and the Natural Science Foundation of Hebei Province No. F2014203085.

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Chen, M., Ma, Y. Non-fragile Fuzzy Dissipative Control for Singular Markovian Jump Systems with Time-Varying Delay. J Control Autom Electr Syst 28, 715–726 (2017). https://doi.org/10.1007/s40313-017-0345-8

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  • DOI: https://doi.org/10.1007/s40313-017-0345-8

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