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Mathematical Model for Fault Handling of Singular Nonlinear Time-Varying Delay Systems Based on T-S Fuzzy Model

Author

Listed:
  • Jianing Cao

    (College of Science, China University of Petroleum (East China), Qingdao 266580, China)

  • Hua Chen

    (College of Science, China University of Petroleum (East China), Qingdao 266580, China)

Abstract

In this paper, a mathematical model based on the T-S fuzzy model is proposed to solve the fault estimation (FE) and fault-tolerant control (FTC) problem for singular nonlinear time-varying delay (TVD) systems with sensor fault. TVD is is extremely difficult to solve and the Laplace transform is devised to build an equal system free of TVD. Additionally, the sensor fault is changed to actuator fault by the developed coordinate transformation. A fuzzy learning fault estimator is first built to estimate the detailed sensor fault information. Then, a PI FTC scheme is suggested aiming at minimizing the damage caused by the fault. Simulation results from multiple faults reveal that the FE and FTC algorithms are able to estimate the fault and guarantee the system performance properly.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:11:p:2547-:d:1161887
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    References listed on IDEAS

    as
    1. Ladan Khoshnevisan & Xinzhi Liu, 2019. "Fractional order predictive sliding-mode control for a class of nonlinear input-delay systems: singular and non-singular approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(5), pages 1039-1051, April.
    2. 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.
    3. Guoquan Chen & Minjie Zheng & Shenhua Yang & Lina Li & Thach Ngoc Dinh, 2022. "Admissibility Analysis of a Sampled-Data Singular System Based on the Input Delay Approach," Complexity, Hindawi, vol. 2022, pages 1-12, February.
    4. Niu, Yichun & Gao, Ming & Sheng, Li, 2022. "Fault-tolerant state estimation for stochastic systems over sensor networks with intermittent sensor faults," Applied Mathematics and Computation, Elsevier, vol. 416(C).
    5. Lifan Li & Lina Yao, 2018. "Minimum rational entropy fault tolerant control for non-Gaussian singular stochastic distribution control systems using T-S fuzzy modelling," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(14), pages 2900-2911, October.
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