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Interval Type-2 Fuzzy Sampled-Data H∞ Control Under Stochastic Communication

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Abstract

The manuscript focuses on the interval type-2 (IT2) fuzzy sampled-data H∞ control problem for nonlinear systems with parameter uncertainties and random communication. Nonlinear systems are constructed as Takagi–Sugeno (T–S) fuzzy form, and the parameter uncertainties are represented by employing the membership functions. A reliable controller is designed, based on which the fuzzy closed-loop system is stable and the H∞index is satisfied. In the analysis, the free-weighting matrices and the slack ones are introduced, and the mathematical expectation and the linear matrix inequalities (LMIs) are used. Furthermore, by taking the inverted pendulum system as an example, the superiority and applicability of the control strategy are demonstrated.

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Acknowledgements

The research was supported by the National Natural Science Foundation of China (11872189, 61972235) and Yantai Key Laboratory of High-End Ocean Engineering Equipment and Intelligent Technology.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Shandong Technology and Business University, Yantai, 264005, Shandong, China

    Zifang Qu

  2. School of Computer and Control Engineering, Yantai University, Yantai, 264005, Shandong, China

    Zhenbin Du

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  1. Zifang Qu
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Correspondence to Zhenbin Du.

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Qu, Z., Du, Z. Interval Type-2 Fuzzy Sampled-Data H∞ Control Under Stochastic Communication. Int. J. Fuzzy Syst. 23, 2132–2143 (2021). https://doi.org/10.1007/s40815-021-01082-1

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  • DOI: https://doi.org/10.1007/s40815-021-01082-1

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