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Practical Fixed-Time Tracking Control for Strict-Feedback Nonlinear Systems with Flexible Prescribed Performance

Author

Listed:
  • Xing Wang

    (School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China)

  • Yongzhi Wang

    (School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China)

  • Yulong Ji

    (School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China)

  • Ben Niu

    (School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China)

  • Jianing Hu

    (School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China)

Abstract

This paper addresses the issue of practical fixed-time tracking control for a class of strict-feedback nonlinear systems subject to external disturbances, while ensuring flexible prescribed performance. First, a fixed-time disturbance observer is designed to estimate the unknown external disturbances. The primary advantage of the proposed fixed-time disturbance observer lies in its capability to estimate both the disturbance itself and its higher-order derivatives in fixed time. In addition, various prescribed performance behaviors can be realized via a set of function transformations, merely by modifying certain critical parameters, without the need to redesign the controller. It is shown that, under the proposed control strategy, the system output can track the reference signal in fixed time, and the tracking error always remains within the prescribed performance boundaries. Finally, the simulation results are provided to demonstrate the feasibility and effectiveness of the proposed control scheme.

Suggested Citation

  • Xing Wang & Yongzhi Wang & Yulong Ji & Ben Niu & Jianing Hu, 2025. "Practical Fixed-Time Tracking Control for Strict-Feedback Nonlinear Systems with Flexible Prescribed Performance," Mathematics, MDPI, vol. 13(13), pages 1-15, July.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:13:p:2213-:d:1696139
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