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Robust H ∞ output tracking control for fuzzy networked systems with stochastic sampling and multiplicative noise

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Abstract

In this paper, the problem of robust sampled-data H ∞ output tracking control is investigated for a class of fuzzy networked systems with stochastic sampling, multiplicative noise and time-varying norm-bounded uncertainties. For the sake of technical simplicity, only two different sampling periods are considered, their occurrence probabilities are given constants and satisfy Bernoulli distribution, and they can be extended to the case with multiple stochastic sampling periods. By using an input-delay method, the probabilistic system is transformed into a stochastic continuous time-delay system. A new linear matrix inequality(LMI)-based procedure is proposed for designing state-feedback controllers, which would guarantee that the closed-loop networked system with stochastic sampling tracks the output of a given reference model well in the sense of H ∞. Conservatism is reduced by taking the probability into account. Both network-induced delays and packet dropouts have been considered. Finally, an illustrative example is given to show the usefulness and effectiveness of the proposed H ∞ output tracking design.

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Acknowledgements

This work is supported by the Natural Science Foundation of China under Grants 60974021 and 61125303, the 973 Program of China under Grant 2011CB710606, the Fund for Distinguished Young Scholars of Hubei Province under Grant 2010CDA081, the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant 20100142110021.

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Authors and Affiliations

  1. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China

    Shiping Wen & Zhigang Zeng

  2. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan, 430074, China

    Shiping Wen & Zhigang Zeng

  3. Texas A& M University at Qatar, Doha, 5825, Qatar

    Tingwen Huang

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  1. Shiping Wen
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  2. Zhigang Zeng
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Correspondence to Zhigang Zeng.

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Wen, S., Zeng, Z. & Huang, T. Robust H ∞ output tracking control for fuzzy networked systems with stochastic sampling and multiplicative noise. Nonlinear Dyn 70, 1061–1077 (2012). https://doi.org/10.1007/s11071-012-0513-0

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  • DOI: https://doi.org/10.1007/s11071-012-0513-0

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