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Adaptive asymptotic tracking control of uncertain nonlinear time-delay systems depended on delay estimation information

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  • Xi, Changjiang
  • Dong, Jiuxiang

Abstract

This paper investigates the issue of adaptive asymptotic tracking control for high-order strict-feedback systems with mismatched unstructured nonlinearities and unknown time delays. Under the proposed control strategy, unknown time delays are estimated with the help of adaptation mechanism and projection operator, which abandons the use of the conventional Lyapunov-Krasovskii functional method and avoids the discussion of controller singularity problem. It is mentioned that most of current reported results on adaptive control of nonlinear delay systems under fuzzy approximation are semi-globally bounded. To achieve the asymptotic control objective, the upper bounds of approximation errors and other residual errors are properly estimated by establishing appropriate adaptive laws. Based on the estimation information of time delays and errors bounds, a novel adaptive sliding tracking control scheme is developed such that the tracking error will be forced to keep sliding along the origin once the upper bounds are reached. Therefore, the asymptotic tracking control objective is achieved. Simulation example verifies the effectiveness of the proposed scheme.

Suggested Citation

  • Xi, Changjiang & Dong, Jiuxiang, 2021. "Adaptive asymptotic tracking control of uncertain nonlinear time-delay systems depended on delay estimation information," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    • Handle: RePEc:eee:apmaco:v:391:y:2021:i:c:s0096300320306159
    DOI: 10.1016/j.amc.2020.125662
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    References listed on IDEAS

    as
    1. Xi, Changjiang & Dong, Jiuxiang, 2019. "Adaptive fuzzy guaranteed performance control for uncertain nonlinear systems with event-triggered input," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    2. Li, Zeyang & Dong, Jiuxiang & Xi, Changjiang, 2020. "Event-triggered adaptive reliable guaranteed performance control for uncertain nonlinear systems with abrupt non-affine faults," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    3. Changchun Hua & Guopin Liu & Zhenhua Bai & Xinping Guan, 2016. "Decentralised adaptive control for a class of stochastic switched interconnected nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(16), pages 3782-3791, December.
    4. Wang, Xuelian & Xia, Jianwei & Wang, Jing & Wang, Zhen & Wang, Jian, 2020. "Reachable set estimation for Markov jump LPV systems with time delays," Applied Mathematics and Computation, Elsevier, vol. 376(C).
    5. Xia, Yude & Wang, Jing & Meng, Bo & Chen, Xiangyong, 2020. "Further results on fuzzy sampled-data stabilization of chaotic nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 379(C).
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    Cited by:

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    2. Liu, Hui & Li, Xiaohua, 2023. "A prescribed-performance-based adaptive finite-time tracking control scheme circumventing the dependence on the system initial condition," Applied Mathematics and Computation, Elsevier, vol. 448(C).

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