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Finite-time H∞ reliable control for T–S fuzzy systems with variable sampling

Author

Listed:
  • Luo, Jinnan
  • Liu, Xinzhi
  • Tian, Wenhong
  • Zhong, Shouming
  • Shi, Kaibo
  • Li, Mengling

Abstract

This work mainly concentrates on the finite-time H∞ reliable control for T–S fuzzy systems with aperiodic sampling. By considering the information of the state, an improved Lyapunov–Krasovskii functional (LKF) is structured. Moreover, based on free-weighted method and aperiodic sampling techniques, further criteria are proposed to guarantee that the T–S fuzzy systems is finite-time stabilization with H∞ performance. Meanwhile, the H∞ reliable controller is designed with larger sampling interval. Finally, the advantages of the obtained results are affirmed by a truck–trailer system.

Suggested Citation

  • Luo, Jinnan & Liu, Xinzhi & Tian, Wenhong & Zhong, Shouming & Shi, Kaibo & Li, Mengling, 2020. "Finite-time H∞ reliable control for T–S fuzzy systems with variable sampling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    • Handle: RePEc:eee:phsmap:v:538:y:2020:i:c:s0378437119315377
    DOI: 10.1016/j.physa.2019.122697
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    References listed on IDEAS

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    1. Cheng, Jun & Chen, Shiqiang & Liu, Zhijun & Wang, Hailing & Li, Jin, 2016. "Robust finite-time sampled-data control of linear systems subject to random occurring delays and its application to Four-Tank system," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 55-76.
    2. 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).
    3. Wang, Ronghao & Xing, Jianchun & Xiang, Zhengrong, 2018. "Finite-time stability and stabilization of switched nonlinear systems with asynchronous switching," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 229-244.
    4. 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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