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Nonfragile Guaranteed Cost Control of Discrete-Time Takagi–Sugeno Fuzzy Systems with Multiple Quantizations

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Abstract

This paper is aimed at studying the nonfragile guaranteed cost (GC) control problem of discrete-time Takagi–Sugeno (T–S) fuzzy systems with multiple quantizations, where multiple quantizations mean that both the state and input are quantized by diverse static quantizers before being transmitted over the networks. To fully consider the effects of quantizations, a new GC function is adopted, where the quantized state and quantized input instead of the normal state and normal input are contained. The nonfragile GC controller design criteria of the discrete-time Takagi–Sugeno fuzzy systems are derived, which are expressed as a set of linear matrix inequalities (LMIs). Then, based on the two-step design strategy, the corresponding GC controller parameters can be obtained easily via the LMI toolbox. Lastly, the validity of the proposed method is verified by two examples.

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Acknowledgements

This work was supported in part by the Support Program for Outstanding Youth Talents in Universities of Anhui Province (Grant No. gxyqZD2022048), and the National Natural Science Foundation of China (Grant Nos. 61803001, U21A20146).

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  1. School of Electrical Engineering, Anhui Polytechnic University, Wuhu, Anhui, 241000, People’s Republic of China

    Jie Wang & Qunxian Zheng

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  1. Jie Wang
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Correspondence to Qunxian Zheng.

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Wang, J., Zheng, Q. Nonfragile Guaranteed Cost Control of Discrete-Time Takagi–Sugeno Fuzzy Systems with Multiple Quantizations. Int. J. Fuzzy Syst. 25, 1518–1529 (2023). https://doi.org/10.1007/s40815-022-01454-1

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