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Non-fragile H ∞ state feedback control for singular Markovian jump fuzzy systems with interval time-delay

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Abstract

In this paper, the problem of non-fragile H ∞ state feedback control for singular Markovian jump fuzzy systems with time-varying delays is investigated. Based on the mode-dependent Lyapunov–Krasovskii function and a new difference inequality, sufficient conditions are obtained which guarantee that the resulted closed-loop system is stochastically admissible with H ∞ performance index γ. Then a state feedback controller under controller gain perturbations is designed by solving the linear matrix inequalities. Finally, some numerical examples are provided to show the effectiveness of the proposed approaches.

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Acknowledgments

This work is supported by the National Nature Science Foundation of China No. 61273004, and the Natural Science Foundation of Hebei Province No. F2014203085. The authors would like to thank the editor and anonymous reviewers for their many helpful comments and suggestions to improve the quality of this paper.

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  1. College of Science, Yanshan University, Qinhuangdao, China

    Yuechao Ma & Menghua Chen

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

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Ma, Y., Chen, M. Non-fragile H ∞ state feedback control for singular Markovian jump fuzzy systems with interval time-delay. Int. J. Mach. Learn. & Cyber. 8, 1223–1233 (2017). https://doi.org/10.1007/s13042-016-0495-1

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  • DOI: https://doi.org/10.1007/s13042-016-0495-1

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