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Finite-time adaptive fuzzy control of nonlinear systems with actuator faults and input saturation

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Abstract

This paper addresses the finite-time control problem of a class of uncertain nonlinear systems subject to input saturation and actuator faults. To approximate the unknown system states, a fuzzy state observer is established where fuzzy logic systems are utilized to estimate the unknown nonlinearities. A nonlinear disturbance observer to estimate the external disturbance of the system. A new finite-time adaptive fuzzy controller is constructed together with the proposed disturbance and state observers, which can guarantee the tracking error into a small neighborhood around zero within finite time. To avoid the tedious and arithmetic problems brought by the traditional backstepping control, the dynamic surface technique is applied, which can effectively reduce the computation burden. It can be proved that not only the boundedness of the closed-loop system states can be guaranteed but also the tracking error is regulated into a small range near the equilibrium in finite time, despite unknown actuator faults and input saturation. Finally, the simulations of two-stage chemical reactor nonlinear system are conducted to demonstrate the effectiveness of the proposed method.

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Availability of data and materials

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Funding

This work was supported in part by Fundamental Research Funds for the Central Universities, grant number 2021YJS141.

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Authors and Affiliations

  1. School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing, 100044, China

    Jiafeng Li & Hao Yan

  2. Department of Electrical and Computer Engineering, National University of Singapore, Singapore, 117576, Singapore

    Jiafeng Li, Ruihang Ji, Xiaoling Liang & Shuzhi Sam Ge

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  1. Jiafeng Li
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  2. Ruihang Ji
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  5. Shuzhi Sam Ge
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Correspondence to Hao Yan.

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Li, J., Ji, R., Liang, X. et al. Finite-time adaptive fuzzy control of nonlinear systems with actuator faults and input saturation. Neural Comput & Applic 36, 3569–3581 (2024). https://doi.org/10.1007/s00521-023-09222-4

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  • DOI: https://doi.org/10.1007/s00521-023-09222-4

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