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A new approach to generalized dissipativity analysis for fuzzy systems with coupling memory sampled-data control

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  • Luo, Jinnan
  • Liu, Xinzhi
  • Tian, Wenhong
  • Zhong, Shouming
  • Shi, Kaibo
  • Cheng, Jun

Abstract

This study addresses a new approach to generalized dissipativity analysis for fuzzy systems with coupling memory sampled-data (CMSD) control. Based on the information of the time derivative of membership functions (MFs), an improved time-dependent Lyapunov–Krasovskii functional (LKF) is proposed to commendably capture the available information related to the real sampling pattern. Together with a switching idea and newly inequalities, further results are established to ensure that the considered system is generalized dissipative. In addition, the CMSD controller is designed such that the generalized dissipative can be guaranteed. Finally, the effectiveness of the presented criteria is verified by the truck-trailer system and Rossler’s system.

Suggested Citation

  • Luo, Jinnan & Liu, Xinzhi & Tian, Wenhong & Zhong, Shouming & Shi, Kaibo & Cheng, Jun, 2020. "A new approach to generalized dissipativity analysis for fuzzy systems with coupling memory sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 368(C).
    • Handle: RePEc:eee:apmaco:v:368:y:2020:i:c:s0096300319307660
    DOI: 10.1016/j.amc.2019.124774
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    References listed on IDEAS

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    1. Cheng, Jun & Zhan, Yang, 2020. "Nonstationary l2−l∞ filtering for Markov switching repeated scalar nonlinear systems with randomly occurring nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 365(C).
    2. Ge, Chao & Wang, Bingfang & Wei, Xian & Liu, Yajuan, 2017. "Exponential synchronization of a class of neural networks with sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 150-161.
    3. Ge, Chao & Shi, Yanpen & Park, Ju H. & Hua, Changchun, 2019. "Robust H∞ stabilization for T-S fuzzy systems with time-varying delays and memory sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 500-512.
    4. Zeng, Hong-Bing & Liu, Xiao-Gui & Wang, Wei, 2019. "A generalized free-matrix-based integral inequality for stability analysis of time-varying delay systems," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 1-8.
    5. Luo, Jinnan & Tian, Wenhong & Zhong, Shouming & Shi, Kaibo & Chen, Hao & Gu, Xian-Ming & Wang, Wenqin, 2017. "Non-fragile asynchronous H∞ control for uncertain stochastic memory systems with Bernoulli distribution," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 109-128.
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    Cited by:

    1. Saravanakumar, Ramasamy & Datta, Rupak & Cao, Yang, 2022. "New insights on fuzzy sampled-data stabilization of delayed nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).

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