IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i11p2547-d1161887.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/11/2547/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/11/2547/
    Download Restriction: no
    ---><---

    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. Gao, Ming & Niu, Yichun & Sheng, Li & Zhou, Donghua, 2022. "Quantitative analysis of incipient fault detectability for time-varying stochastic systems based on weighted moving average approach," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:11:p:2547-:d:1161887. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.