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Finite-Time Adaptive Fuzzy Control for Unmodeled Dynamical Systems with Actuator Faults

Author

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  • Ruixia Liu

    (Xi’an Key Laboratory of Advanced Control and Intelligent Process, School of Automation, Xi’an University of Posts and Telecommunications, Xi’an 710072, China)

  • Lei Xing

    (Research Center of Satellite Technology, Harbin Institute of Technology, Harbin 150001, China)

  • Hong Deng

    (Shanghai Institute of Satellite Engineering, Shanghai 201109, China)

  • Weichao Zhong

    (Shanghai Institute of Satellite Engineering, Shanghai 201109, China)

Abstract

This article concentrates upon the issue of finite-time tracking control for a category of nonlinear systems in pure-feedback form with actuator faults and unmodeled dynamics, where the loss of effectiveness and bias fault are considered. Meanwhile, the function approximation method utilizing fuzzy logic systems and dynamic surface control approach with first-order filter are implemented to model the unknown nonlinear terms induced from the proposed controller procedure and tackle the “explosion of complexity” issue of the classic backstepping method. The use of the maximal norm of the weight vector estimation method and adaptive approach reduces the computation load induced by fuzzy logic systems. Within the framework of backstepping control, a finite-time adaptive fuzzy fault-tolerant control protocol is derived to guarantee the boundedness of all signals and tracking error of the controlled system within a finite-time. Simulation studies are offered to show the validity of the derived theoretical results of the finite-time control protocol.

Suggested Citation

  • Ruixia Liu & Lei Xing & Hong Deng & Weichao Zhong, 2023. "Finite-Time Adaptive Fuzzy Control for Unmodeled Dynamical Systems with Actuator Faults," Mathematics, MDPI, vol. 11(9), pages 1-22, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:9:p:2193-:d:1140732
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    References listed on IDEAS

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    1. Wang, Yuanqing & Xu, Ning & Liu, Yajuan & Zhao, Xudong, 2021. "Adaptive fault-tolerant control for switched nonlinear systems based on command filter technique," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    2. Jun Wang & Yongqiang Tian & Lanfeng Hua & Kaibo Shi & Shouming Zhong & Shiping Wen, 2023. "New Results on Finite-Time Synchronization Control of Chaotic Memristor-Based Inertial Neural Networks with Time-Varying Delays," Mathematics, MDPI, vol. 11(3), pages 1-18, January.
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    Cited by:

    1. Jiao Xu & Tao Song & Jiaxin Wang, 2024. "Finite-Time Fuzzy Fault-Tolerant Control for Nonlinear Flexible Spacecraft System with Stochastic Actuator Faults," Mathematics, MDPI, vol. 12(4), pages 1-25, February.
    2. Xiongfeng Deng & Yiqing Huang & Binzi Xu & Liang Tao, 2023. "Position and Attitude Tracking Finite-Time Adaptive Control for a VTOL Aircraft Using Global Fast Terminal Sliding Mode Control," Mathematics, MDPI, vol. 11(12), pages 1-22, June.

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