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An improved adaptive neural dynamic surface control for pure-feedback systems with full state constraints and disturbance

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  • Liu, Wei
  • Ma, Qian
  • Zhuang, Guangming
  • Lu, Junwei
  • Chu, Yuming

Abstract

This paper discusses a neural dynamic surface control (DSC) problem for a class of nonlinear systems in the case of full-state constraints and unknown disturbances. Incorporating an improved DSC method and the neural networks (NNs) approximation with the minimization parameter method, an improved neural DSC approach is constructed for the studied system. By introducing a novel barrier Lyapunov function (BLF) in the design steps, the issue of full-state constraints existing in the system can be solved. The highlighting features of the proposed control method are that only one online estimation parameter should be updated, and the same stability property as the conventional backstepping method can be reserved. The transgressions of full state constraints never occur in the case of disturbances. By the Lyapunov stability analysis, all the signals of the closed-loop system are ultimately bounded. Finally, two simulation examples display the effectiveness of the proposed approach.

Suggested Citation

  • Liu, Wei & Ma, Qian & Zhuang, Guangming & Lu, Junwei & Chu, Yuming, 2019. "An improved adaptive neural dynamic surface control for pure-feedback systems with full state constraints and disturbance," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 37-50.
    • Handle: RePEc:eee:apmaco:v:358:y:2019:i:c:p:37-50
    DOI: 10.1016/j.amc.2019.03.054
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    References listed on IDEAS

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    1. Zhiyao Ma & Yongming Li & Shaocheng Tong, 2017. "Observer-based fuzzy adaptive fault control for a class of MIMO nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(6), pages 1331-1346, April.
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    Cited by:

    1. Wang, Fang & Gao, Yali & Zhou, Chao & Zong, Qun, 2022. "Disturbance observer-based backstepping formation control of multiple quadrotors with asymmetric output error constraints," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    2. Xin, Li-Ping & Yu, Bo & Zhao, Lin & Yu, Jinpeng, 2020. "Adaptive fuzzy backstepping control for a two continuous stirred tank reactors process based on dynamic surface control approach," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    3. Yang, Wenjing & Xia, Jianwei & Yu, Miao & Zhang, Na, 2023. "Decentralized Adaptive Funnel Control of Uncertain Large-Scale Interconnected Nonlinear System," Applied Mathematics and Computation, Elsevier, vol. 441(C).
    4. Liu, Wei & Fei, Shiqi & Ma, Qian & Zhao, Huanyu & Xu, Shengyuan, 2022. "Prescribed performance dynamic surface control for nonlinear systems subject to partial and full state constraints," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    5. Wu, Jing & Sun, Wei & Su, Shun-Feng & Xia, Jianwei, 2022. "Neural-based adaptive control for nonlinear systems with quantized input and the output constraint," Applied Mathematics and Computation, Elsevier, vol. 413(C).

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