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Adaptive fuzzy control for pure-feedback systems with full state constraints and unknown nonlinear dead zone

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  • Xiao, Wenbin
  • Cao, Liang
  • Dong, Guowei
  • Zhou, Qi

Abstract

In this paper, an adaptive control problem for a class of pure-feedback time-varying delay nonlinear systems with full state constraints and unknown dead zone is investigated. Differing from the full state constraints without considering the time-varying delay in nonlinear systems, a well defined Barrier Lyapunov-Krasovskii functional is designed to address the difficult in this paper. By defining a continuous function and combining with mean value theorem, system is modeled with dead zone. Furthermore, a novel adaptive control scheme is developed based on recursive backstepping method. It is proved that the proposed approach can guarantee a desired tracking performance and semi-global asymptotically stability of the closed-loop system. Finally, some simulation results are given to verify the effectiveness of the proposed strategy.

Suggested Citation

  • Xiao, Wenbin & Cao, Liang & Dong, Guowei & Zhou, Qi, 2019. "Adaptive fuzzy control for pure-feedback systems with full state constraints and unknown nonlinear dead zone," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 354-371.
    • Handle: RePEc:eee:apmaco:v:343:y:2019:i:c:p:354-371
    DOI: 10.1016/j.amc.2018.09.016
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    References listed on IDEAS

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    1. Mahmoud, Magdi S. & Almutairi, Naif B., 2016. "Feedback fuzzy control for quantized networked systems with random delays," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 80-97.
    2. Li, Junmin & Yue, Hongyun, 2015. "Adaptive fuzzy tracking control for stochastic nonlinear systems with unknown time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 514-528.
    3. Wenjie Si & Xunde Dong & Feifei Yang, 2017. "Adaptive neural tracking control for nonstrict-feedback stochastic nonlinear time-delay systems with full-state constraints," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(14), pages 3018-3031, October.
    4. Zhang, Yanhui & Liang, Hongjing & Ma, Hui & Zhou, Qi & Yu, Zhandong, 2018. "Distributed adaptive consensus tracking control for nonlinear multi-agent systems with state constraints," Applied Mathematics and Computation, Elsevier, vol. 326(C), pages 16-32.
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    Cited by:

    1. Min, Huifang & Xu, Shengyuan & Yu, Xin & Fei, Shumin & Cui, Guozeng, 2020. "Adaptive Tracking Control for Stochastic Nonlinear Systems with Full-State Constraints and Unknown Covariance Noise," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    2. Wang, Yingchun & Zhang, Jiaxin & Zhang, Huaguang & Xie, Xiangpeng, 2021. "Finite-time adaptive neural control for nonstrict-feedback stochastic nonlinear systems with input delay and output constraints," Applied Mathematics and Computation, Elsevier, vol. 393(C).

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