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

Author

Listed:
  • 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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    1. Li, Min & Shu, Feng & Liu, Duyu & Zhong, Shouming, 2018. "Robust H∞ control of T-S fuzzy systems with input time-varying delays: A delay partitioning method," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 209-222.
    2. Xing, Mengping & Xia, Jianwei & Wang, Jing & Meng, Bo & Shen, Hao, 2019. "Asynchronous H∞ filtering for nonlinear persistent dwell-time switched singular systems with measurement quantization," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    3. Dai, Mingcheng & Huang, Zhengguo & Xia, Jianwei & Meng, Bo & Wang, Jian & Shen, Hao, 2019. "Non-fragile extended dissipativity-based state feedback control for 2-D Markov jump delayed systems," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    4. Xie, Wenqian & Zhu, Hong & Zhong, Shouming & Zhang, Dian & Shi, Kaibo & Cheng, Jun, 2018. "Extended dissipative estimator design for uncertain switched delayed neural networks via a novel triple integral inequality," Applied Mathematics and Computation, Elsevier, vol. 335(C), pages 82-102.
    5. Wang, Jun & Shi, Kaibo & Huang, Qinzhen & Zhong, Shouming & Zhang, Dian, 2018. "Stochastic switched sampled-data control for synchronization of delayed chaotic neural networks with packet dropout," Applied Mathematics and Computation, Elsevier, vol. 335(C), pages 211-230.
    6. Wang, Xuelian & Xia, Jianwei & Wang, Jing & Wang, Jian & Wang, Zhen, 2019. "Passive state estimation for fuzzy jumping neural networks with fading channels based on the hidden Markov model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
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    Cited by:

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