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Faulty actuator-based control synthesis for interval type-2 fuzzy systems via memory state feedback approach

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  • R. Kavikumar
  • R. Sakthivel
  • O. M. Kwon
  • B. Kaviarasan

Abstract

This study focuses on the memory state feedback control problem for a family of time delayed interval type-2 Takagi-Sugeno fuzzy systems with external disturbance and actuator faulty input. Notably, an actuator fault model is implemented in the control design. In this study, the membership functions, the premise variables of the controller and the considered plant model are chosen freely. By employing the Lyapunov–Krasovskii functional method, the linear matrix inequality approach and the Abel lemma-based finite sum inequality, a set of sufficient conditions that guarantees the stability of the considered system is obtained via the extended passivity performance index. The developed theoretical results are validated with an artificial example and an application-oriented example.

Suggested Citation

  • R. Kavikumar & R. Sakthivel & O. M. Kwon & B. Kaviarasan, 2020. "Faulty actuator-based control synthesis for interval type-2 fuzzy systems via memory state feedback approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(15), pages 2958-2981, November.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2958-2981
    DOI: 10.1080/00207721.2020.1804643
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    Cited by:

    1. Cheung-Chieh Ku & Chein-Chung Sun & Shao-Hao Jian & Wen-Jer Chang, 2023. "Passive Fuzzy Controller Design for the Parameter-Dependent Polynomial Fuzzy Model," Mathematics, MDPI, vol. 11(11), pages 1-18, May.
    2. Jianing Cao & Hua Chen, 2023. "Mathematical Model for Fault Handling of Singular Nonlinear Time-Varying Delay Systems Based on T-S Fuzzy Model," Mathematics, MDPI, vol. 11(11), pages 1-13, June.
    3. Turki Alsuwian & Muhammad Tayyeb & Arslan Ahmed Amin & Muhammad Bilal Qadir & Saleh Almasabi & Mohammed Jalalah, 2022. "Design of a Hybrid Fault-Tolerant Control System for Air–Fuel Ratio Control of Internal Combustion Engines Using Genetic Algorithm and Higher-Order Sliding Mode Control," Energies, MDPI, vol. 15(15), pages 1-23, August.

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