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Fixed-Time Command-Filtered Control for Nonlinear Systems with Mismatched Disturbances

Author

Listed:
  • Zhiqiang Wu

    (The State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110819, China)

  • Jian Zhang

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

  • Lei Xing

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

  • Liyang Sun

    (School of Petroleum Engineering, Northeast Petroleum University, Daqing 163319, China)

Abstract

This article concerns the issue of adaptive fuzzy command-filtered fixed-time control in the context of a category of nonlinear systems characterized by mismatched disturbances and unknown nonlinear functions. The backstepping-based disturbance observers are created to alleviate the effects of mismatched disturbances and Fuzzy logic systems are brought into play to model those terms that are unknown. To address the complexity explosion issue in traditional backstepping control, this paper utilizes fixed-time command filters (FTCFs) to design a novel control approach. Moreover, filtering error compensation mechanisms are developed to eliminate the errors introduced by the FTCFs. This paper derives a novel adaptive fixed-time control protocol that successfully conquers the difficulties posed by unknown nonlinear functions and mismatched disturbances. The protocol, implemented within a backstepping framework, guarantees the boundedness of all signals and tracking errors within fixed time. The efficacy of the derived control protocol is illustrated through simulation examples.

Suggested Citation

  • Zhiqiang Wu & Jian Zhang & Lei Xing & Liyang Sun, 2024. "Fixed-Time Command-Filtered Control for Nonlinear Systems with Mismatched Disturbances," Mathematics, MDPI, vol. 12(23), pages 1-22, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:23:p:3816-:d:1535151
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    References listed on IDEAS

    as
    1. Chalishajar, Dimplekumar & Kasinathan, Dhanalakshmi & Kasinathan, Ramkumar & Kasinathan, Ravikumar, 2024. "Exponential stability, T-controllability and optimal controllability of higher-order fractional neutral stochastic differential equation via integral contractor," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    2. Dachang Zhu & Yonglong He & Fangyi Li, 2024. "Trajectory Tracking of Delta Parallel Robot via Adaptive Backstepping Fractional-Order Non-Singular Sliding Mode Control," Mathematics, MDPI, vol. 12(14), pages 1-14, July.
    3. 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).
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