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Volume 11 Issue 12
Dec.  2024

IEEE/CAA Journal of Automatica Sinica

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Q. Lu, X. Wu, J. She, F. Guo, and  L. Yu,  “Disturbance rejection for systems with uncertainties based on fixed-time equivalent-input-disturbance approach,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 12, pp. 2384–2395, Dec. 2024. doi: 10.1109/JAS.2024.124650
Citation: Q. Lu, X. Wu, J. She, F. Guo, and  L. Yu,  “Disturbance rejection for systems with uncertainties based on fixed-time equivalent-input-disturbance approach,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 12, pp. 2384–2395, Dec. 2024. doi: 10.1109/JAS.2024.124650

Disturbance Rejection for Systems With Uncertainties Based on Fixed-Time Equivalent-Input-Disturbance Approach

doi: 10.1109/JAS.2024.124650
Funds:  This work was supported in part by the Natural Science Foundation of China (62003292, 62203391), the Natural Science Foundation of Zhejiang Province (LQ22F030015, LDT23E05014F03), and JSPS (Japan Society for the Promotion of Science) KAKENHI (22H03998, 23K25252)
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  • This paper presents a fixed-time equivalent-input-disturbance (EID) approach to deal with the problem of robust output-feedback control for perturbed uncertain systems. This method uses the basic structure of the conventional EID approach and treats uncertainties and disturbances as a lumped disturbance on the control-input channel. A fixed-time state observer enables state estimation, which resolves the causality issue in an EID-based control system, is finished in a fixed time. An implicit Lyapunov function, the homogeneity with dilation, the input-to-state stability, and the small-gain theorem are used to analyze the convergence and robustness of the EID-based system with measurement noise. Numerical and experimental results are presented to demonstrate the effectiveness and superiority of the proposed method.

     

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    Highlights

    • The proposed fixed-time EID method allows EID to handle finite-time observation tasks
    • The filter in the approach can achieve fast disturbance reconstruction of disturbances
    • The fixed-time EID also demonstrates a degree of robustness to measurement noise

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