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Robust H∞ control for uncertain delayed T-S fuzzy systems with stochastic packet dropouts

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  • Cai, Xiao
  • Zhong, Shouming
  • Wang, Jun
  • Shi, Kaibo

Abstract

This paper is concerned with the robust H∞ control issues for uncertain T-S fuzzy systems (TSFSs) with time-varying delays and stochastic packet dropouts. An improved time-delay interval segmentation method is developed to construct a more general Lyapunov-Krasovskii functional (LKF) with relaxed conditions, which fully considers information concerning time delays and the derivative information of both states and time delays. Then, by applying some valid integral inequalities, some new criteria are established. Furthermore, based on the above methods, the desired randomly occurring asynchronous or synchronized state feedback controllers are designed to ensure the asymptotic stability of the closed-loop TSFSs. Finally, four numerical examples are given to illustrate the feasibility and superiority of the method.

Suggested Citation

  • Cai, Xiao & Zhong, Shouming & Wang, Jun & Shi, Kaibo, 2020. "Robust H∞ control for uncertain delayed T-S fuzzy systems with stochastic packet dropouts," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    • Handle: RePEc:eee:apmaco:v:385:y:2020:i:c:s0096300320303933
    DOI: 10.1016/j.amc.2020.125432
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    References listed on IDEAS

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    Cited by:

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    6. Wu, Yanqi & Zhang, Junfeng & Lin, Peng, 2022. "Non-fragile hybrid-triggered control of networked positive switched systems with cyber attacks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    7. Liu, Yun & Heidari, Ali Asghar & Ye, Xiaojia & Liang, Guoxi & Chen, Huiling & He, Caitou, 2021. "Boosting slime mould algorithm for parameter identification of photovoltaic models," Energy, Elsevier, vol. 234(C).
    8. Sina Nayeri & Zeinab Sazvar & Jafar Heydari, 2022. "A fuzzy robust planning model in the disaster management response phase under precedence constraints," Operational Research, Springer, vol. 22(4), pages 3571-3605, September.
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