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Non-fragile Control for Interval Type-2 T-S Fuzzy Systems with Mixed Time-delays Under Round-robin Protocol

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Abstract

This paper is concerned with the non-fragile output feedback control problem for a class of interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy systems with mixed time-delays. The data transmission, which occurs in the sensor-to-controller channel, is scheduled by the round-robin protocol. At every transmission instant, the sensors can access the communication network and transmit signal to the corresponding controller in a fixed circular order. With the aid of Lyapunov theory, sufficient conditions are obtained to ensure the desired performance. Furthermore, the non-fragile H∞ controller is designed for a class of IT2 T-S fuzzy systems. The combination of orthogonal decomposition and linear matrix inequalities is implemented to deal with the nonlinear coupling terms in the gain solving process. Finally, a numerical example is employed to justify the practicality and effectiveness of the proposed control scheme.

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Authors and Affiliations

  1. Department of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai, 200093, China

    Sunjie Zhang

  2. College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China

    Yi Yang

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  1. Sunjie Zhang
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  2. Yi Yang
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Correspondence to Sunjie Zhang.

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This work was supported in part by the National Natural Science Foundation of China (61603255) and the Shanghai Twilight Program of China (18CG52).

Sunjie Zhang received his B.Sc. degree in applied mathematics from Donghua University, Shanghai, China, in 2010, and a Ph.D. degree in control theory and control engineering from Donghua University, Shanghai, China, in 2015. From May 2015 to September 2017, he was a postdoctoral researcher with the postdoctoral research station of Optical Engineering, University of Shanghai for Science and Technology, Shanghai, China. He is currently a lecturer with the Department of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai, China. His research interests include nonlinear stochastic control and filtering, as well as complex networks. He is a reviewer for some international journals.

Yi Yang received her B.S. degree in mathematics and applied mathematics from Henan Institute of Science and Technology, Henan, China, in 2019. She is currently working toward an M.S. degree from the Department of Operations Research and Cybernetics, University of Shanghai for Science and Technology, Shanghai, China. Her current research interests include fuzzy control and nonlinear control.

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Zhang, S., Yang, Y. Non-fragile Control for Interval Type-2 T-S Fuzzy Systems with Mixed Time-delays Under Round-robin Protocol. Int. J. Control Autom. Syst. 20, 3759–3770 (2022). https://doi.org/10.1007/s12555-021-0659-y

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  • DOI: https://doi.org/10.1007/s12555-021-0659-y

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