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Fuzzy control design for time-delay systems under adaptive event-triggered mechanism

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Abstract

This manuscript studies the fuzzy \({\mathcal {H}}_{\infty }\) control design problem for nonlinear time-varying delay systems in fuzzy form via adaptive event-triggered mechanism. The fuzzy model and an adaptive event-triggered controller are connected in closed-loop form. A looped-functional is established to conduct stability analysis, and the main feature of this functional can fully reflect the sampling feature of control systems. Thus, the achieved results are less conservative. The Wringter inequality is also used to further relax stability analysis. Finally, sufficient conditions are achieved for the existence of event-triggered fuzzy controller, and the resulting closed-loop system reaches an \({\mathcal {H}}_{\infty }\) control performance. Two examples verify the efficiency of the presented control strategy.

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Data availability statement

The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work was supported by the Natural Science Foundation of Shandong Province (ZR2021MF133, ZR2022MF278, ZR2020ZD27) and the National Natural Science Foundation of China (61873071, 62103350).

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Authors and Affiliations

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

    Zhenbin Du

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

    Zifang Qu

  3. Department of Mathematics, Harbin Institute of Technology, Weihai, 264209, China

    Yonggui Kao

  4. School of Mathematics and Information Sciences, Yantai University, Yantai, Shandong, 264005, China

    Zhaojing Wu

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  1. Zhenbin Du
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  2. Zifang Qu
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Correspondence to Zhenbin Du, Zifang Qu or Zhaojing Wu.

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Du, Z., Qu, Z., Kao, Y. et al. Fuzzy control design for time-delay systems under adaptive event-triggered mechanism. Neural Comput & Applic 36, 4727–4739 (2024). https://doi.org/10.1007/s00521-023-09116-5

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  • DOI: https://doi.org/10.1007/s00521-023-09116-5

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