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Volume 8 Issue 2
Feb.  2021

IEEE/CAA Journal of Automatica Sinica

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Yongliang Yang, Zhijie Liu, Qing Li and Donald C. Wunsch, "Output Constrained Adaptive Controller Design for Nonlinear Saturation Systems," IEEE/CAA J. Autom. Sinica, vol. 8, no. 2, pp. 441-454, Feb. 2021. doi: 10.1109/JAS.2020.1003524
Citation: Yongliang Yang, Zhijie Liu, Qing Li and Donald C. Wunsch, "Output Constrained Adaptive Controller Design for Nonlinear Saturation Systems," IEEE/CAA J. Autom. Sinica, vol. 8, no. 2, pp. 441-454, Feb. 2021. doi: 10.1109/JAS.2020.1003524

Output Constrained Adaptive Controller Design for Nonlinear Saturation Systems

doi: 10.1109/JAS.2020.1003524
Funds:  This work was supported in part by the National Natural Science Foundation of China (61903028, 62073030), in part by the China Post-Doctoral Science Foundation (2019M660463), in part by the Fundamental Research Funds for the China Central Universities of University of Science and Technology Beijing (FRF-TP-18-031A1, FRF-BD-19-002A), and in part by the Postdoctor Research Foundation of Shunde Graduate School of University of Science and Technology Beijing (2020BH002)
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  • This paper considers the adaptive neuro-fuzzy control scheme to solve the output tracking problem for a class of strict-feedback nonlinear systems. Both asymmetric output constraints and input saturation are considered. An asymmetric barrier Lyapunov function with time-varying prescribed performance is presented to tackle the output-tracking error constraints. A high-gain observer is employed to relax the requirement of the Lipschitz continuity about the nonlinear dynamics. To avoid the “explosion of complexity”, the dynamic surface control (DSC) technique is employed to filter the virtual control signal of each subsystem. To deal with the actuator saturation, an additional auxiliary dynamical system is designed. It is theoretically investigated that the parameter estimation and output tracking error are semi-global uniformly ultimately bounded. Two simulation examples are conducted to verify the presented adaptive fuzzy controller design.

     

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    Highlights

    • A barrier Lyapunov function with an asymmetric time-varying constraint is presented to ensure the prescribed transient performance on the output tracking error.
    • To estimate the unmeasured states, the high-gain observer with adaptive feedback gain is designed with a relaxed continuity assumption.
    • The input saturation is solved by introducing an additional auxiliary system, of which the stability analysis is based on the Nussbaum function-based method.

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