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Robust H∞ control of T-S fuzzy systems with input time-varying delays: A delay partitioning method

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  • Li, Min
  • Shu, Feng
  • Liu, Duyu
  • Zhong, Shouming

Abstract

Addressed in this paper is the robust H∞ control issue of T-S fuzzy systems with input time-varying delays. By means of the delay partitioning method, the delay interval is partitioned into multiple unequal subintervals whose lengths satisfy a geometric sequence. On this basis, a modified Lyapunov–Krasovskii functional is presented to analyze asymptotic stability of the open-loop system. Then a state feedback controller that ensures a prescribed H∞ performance level for the closed-loop system is proposed in linear matrix inequality format. Finally, two numerical examples are given to illustrate the effectiveness and advantages of the obtained results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:321:y:2018:i:c:p:209-222
    DOI: 10.1016/j.amc.2017.10.053
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    References listed on IDEAS

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    1. Zhai, Ding & Lu, An-Yang & Dong, Jiuxiang & Zhang, Qing-Ling, 2017. "Stability analysis and state feedback control of continuous-time T–S fuzzy systems via anew switched fuzzy Lyapunov function approach," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 586-599.
    2. Rajavel, S. & Samidurai, R. & Cao, Jinde & Alsaedi, Ahmed & Ahmad, Bashir, 2017. "Finite-time non-fragile passivity control for neural networks with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 297(C), pages 145-158.
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    Cited by:

    1. 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.
    2. 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).
    3. Bhuvaneshwari, G. & Prakash, M. & Rakkiyappan, R. & Manivannan, A., 2023. "Stability and stabilization analysis of T-S fuzzy systems with distributed time-delay using state-feedback control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 778-793.
    4. Parivallal, A. & Sakthivel, R. & Alzahrani, Faris & Leelamani, A., 2020. "Quantized guaranteed cost memory consensus for nonlinear multi-agent systems with switching topology and actuator faults," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).
    5. Sun, Qingdong & Ren, Junchao & Zhao, Feng, 2022. "Sliding mode control of discrete-time interval type-2 fuzzy Markov jump systems with the preview target signal," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    6. Li, Min & Guo, Jian & Xiang, Zhengrong, 2022. "Dynamic event-triggered control design for a class of p-normal nonlinear time-delay systems with actuator failures," Applied Mathematics and Computation, Elsevier, vol. 421(C).

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