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Stability Analysis and Robust Stabilization of Uncertain Fuzzy Time-Delay Systems

Author

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  • Chun-Tang Chao

    (Department of Electrical Engineering, Southern Taiwan University of Science and Technology, Tainan City 71005, Taiwan)

  • Ding-Horng Chen

    (Department of Computer Science and Information Engineering, Southern Taiwan University of Science and Technology, Tainan City 71005, Taiwan)

  • Juing-Shian Chiou

    (Department of Electrical Engineering, Southern Taiwan University of Science and Technology, Tainan City 71005, Taiwan)

Abstract

New sufficient conditions for delay-independent and delay-dependent robust stability of uncertain fuzzy time-delay systems based on uncertain fuzzy Takagi-Sugeno (T-S) models are presented by using the properties of matrix and norm measurements. Further sufficient conditions are formulated, in terms of the linear matrix inequalities (LMIs) of robust stabilization, and are developed via the technique of parallel distributed compensation (PDC), and then the simplification of the conditions for the controller design of uncertain fuzzy time-delay systems. The proposed methods are simple and effective. Some examples below are presented to illustrate our results.

Suggested Citation

  • Chun-Tang Chao & Ding-Horng Chen & Juing-Shian Chiou, 2021. "Stability Analysis and Robust Stabilization of Uncertain Fuzzy Time-Delay Systems," Mathematics, MDPI, vol. 9(19), pages 1-13, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:19:p:2441-:d:648322
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    References listed on IDEAS

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    1. Oscar Castillo & Fevrier Valdez & Cinthia Peraza & Jin Hee Yoon & Zong Woo Geem, 2021. "High-Speed Interval Type-2 Fuzzy Systems for Dynamic Parameter Adaptation in Harmony Search for Optimal Design of Fuzzy Controllers," Mathematics, MDPI, vol. 9(7), pages 1-18, April.
    2. Sami Elmadssia & Karim Saadaoui, 2020. "New Stability Conditions for a Class of Nonlinear Discrete-Time Systems with Time-Varying Delay," Mathematics, MDPI, vol. 8(9), pages 1-19, September.
    3. Himanshukumar R. Patel & Vipul A. Shah, 2019. "Stable Fault Tolerant Controller Design for Takagi–Sugeno Fuzzy Model-Based Control Systems via Linear Matrix Inequalities: Three Conical Tank Case Study," Energies, MDPI, vol. 12(11), pages 1-22, June.
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    Cited by:

    1. Zhenglei Zhang & Jirong Wang & Junwei Gao & Huabo Liu, 2023. "Robust State Estimation for T–S Fuzzy Markov Jump Systems," Mathematics, MDPI, vol. 11(2), pages 1-14, January.

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