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Volume 10 Issue 2
Feb.  2023

IEEE/CAA Journal of Automatica Sinica

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C. H. Zhang, L. Chang, L. T. Xing, and X. F. Zhang, “Fixed-time stabilization of a class of strict-feedback nonlinear systems via dynamic gain feedback control,” IEEE/CAA J. Autom. Sinica, vol. 10, no. 2, pp. 403–410, Feb. 2023. doi: 10.1109/JAS.2023.123408
Citation: C. H. Zhang, L. Chang, L. T. Xing, and X. F. Zhang, “Fixed-time stabilization of a class of strict-feedback nonlinear systems via dynamic gain feedback control,” IEEE/CAA J. Autom. Sinica, vol. 10, no. 2, pp. 403–410, Feb. 2023. doi: 10.1109/JAS.2023.123408

Fixed-Time Stabilization of a Class of Strict-Feedback Nonlinear Systems via Dynamic Gain Feedback Control

doi: 10.1109/JAS.2023.123408
Funds:  This work was supported by the National Natural Science Foundation of China (61821004, U1964207, 20221017-10)
More Information
  • This paper presents a novel fixed-time stabilization control (FSC) method for a class of strict-feedback nonlinear systems involving unmodelled system dynamics. The key feature of the proposed method is the design of two dynamic parameters. Specifically, a set of auxiliary variables is first introduced through state transformation. These variables combine the original system states and the two introduced dynamic parameters, facilitating the closed-loop system stability analyses. Then, the two dynamic parameters are delicately designed by utilizing the Lyapunov method, ensuring that all the closed-loop system states are globally fixed-time stable. Compared with existing results, the “explosion of complexity” problem of backstepping control is avoided. Moreover, the two designed dynamic parameters are dependent on system states rather than a time-varying function, thus the proposed controller is still valid beyond the given fixed-time convergence instant. The effectiveness of the proposed method is demonstrated through two practical systems.

     

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    Highlights

    • This paper presents a novel fixed-time stabilization control method for a class of strict-feedback nonlinear systems involving unmodelled system dynamics. The key feature of the proposed method is the design of two dynamic parameters, facilitating the closed-loop system stability analyses
    • The two dynamic parameters are delicately designed by utilizing the Lyapunov method, ensuring that all the closed-loop system states are globally fixed-time stable. Compared with existing results, the ``explosion of complexity" problem of backstepping control is avoided
    • Moreover, the two designed dynamic parameters are dependent on system states rather than a time-varying function, thus the proposed controller is still valid beyond the given fixed-time convergence instant. The effectiveness of the proposed method is demonstrated through two practical systems

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