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Barrier Lyapunov Function-Based Finite-Time Dynamic Surface Control for Output-Constrained Nonstrict-Feedback Systems

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Abstract

This paper investigates a finite-time tracking problem for the uncertainty nonlinear systems in nonstrict-feedback form, in which the output signal is restricted in a region. Based on the barrier Lyapunov function and dynamic surface control scheme, a novel adaptive neural controller is proposed by using the finite-time Lyapunov technology. Unlike the aforementioned literature on finite time tracking control, the violation of system output constraint is avoided by combining the barrier Lyapunov function method with finite-time theory. The structural characteristics of neural network is introduced to expand the adaptive neural finite-time backstepping method to the uncertainty nonlinear systems in the non-strict form. Correspondingly, the dynamic surface control is introduced to cope with the problem of “explosion of complexity” inherent in conventional backstepping scheme. It is shown that the designed controller can achieve finite-time tracking control and all the variables in the closed-loop system are bounded with output constraint guaranteed form stability analysis and simulation results.

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Author information

Authors and Affiliations

  1. The College of Automation, Qingdao University, Qingdao, 266003, China

    Jinpeng Yu, Cheng Fu, Jiapeng Liu & Yumei Ma

  2. Shandong Key Laboratory of Industrial Control Technology, Qingdao University, Qingdao, 266003, China

    Jinpeng Yu, Jiapeng Liu & Yumei Ma

  3. The School of Control Science and Engineering, Shandong University, Jinan, 250100, China

    Cheng Fu

Authors
  1. Jinpeng Yu
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  2. Cheng Fu
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  3. Jiapeng Liu
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  4. Yumei Ma
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Corresponding author

Correspondence to Jinpeng Yu.

Additional information

This work was supported by the National Key Research and Development Plan under Grant No. 2017YFB1303503, the National Natural Science Foundation of China under Grant No. 61973179, Taishan Scholar Special Project Fund under Grant No. TSQN20161026, and Qingdao key research and development special project under Grant No. 21-1-2-6-nsh.

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Yu, J., Fu, C., Liu, J. et al. Barrier Lyapunov Function-Based Finite-Time Dynamic Surface Control for Output-Constrained Nonstrict-Feedback Systems. J Syst Sci Complex 36, 524–539 (2023). https://doi.org/10.1007/s11424-023-1330-x

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  • DOI: https://doi.org/10.1007/s11424-023-1330-x

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