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Generalized Dissipativity of Fuzzy Systems by Memory Sampled-Data Control

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Abstract

This paper addresses the generalized dissipative problem for fuzzy systems with memory sampled-data control. The aim is to devise the memory sampled-data controller such that the considered system is generalized dissipative. By considering the time derivative of the membership functions and some helpful terms, an improved time-dependent Lyapunov-Krasovskii functional (LKF) is constructed to commendably capture the useful information about the real sampling pattern. Together with some new inequalities and the upper bounds of the time derivative of the membership functions, some new criteria are established to guarantee the fuzzy systems to be generalized dissipative. Moreover, the memory sampled-data controller is devised to include delayed state information with the common sampled-data proportional controller as its special case, which can improve the controller performance. Finally, the merits of the proposed results are demonstrated by the truck-trailer system and Rossler’s system.

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Acknowledgements

Thanks for the all. This work was supported by the Southwest Minzu University Research Startup Funds (Grant No. RQD2022024), National Natural Science Foundation of China (Grant No. 62206168, 62003087) and the Fundamental Research Funds for the Central Universities, the Southwest Minzu University (Grant No. 2021PYXM02).

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Authors and Affiliations

  1. College of Electrical Engineering, Southwest Minzu University, Chengdu, 610041, People’s Republic of China

    Jinnan Luo & Qiong Wu

  2. School of Electrical Engineering, Shanghai DianJi University, Shanghai, 201306, People’s Republic of China

    Lijuan Chen

  3. School of Information Science and Engineering, Chengdu University, Chengdu, 610106, People’s Republic of China

    Kaibo Shi

  4. School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, People’s Republic of China

    Shouming Zhong

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  1. Jinnan Luo
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  2. Lijuan Chen
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  3. Kaibo Shi
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Correspondence to Lijuan Chen or Kaibo Shi.

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Luo, J., Chen, L., Shi, K. et al. Generalized Dissipativity of Fuzzy Systems by Memory Sampled-Data Control. Int. J. Fuzzy Syst. 26, 585–595 (2024). https://doi.org/10.1007/s40815-023-01618-7

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  • DOI: https://doi.org/10.1007/s40815-023-01618-7

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