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Finite-time adaptive fuzzy tracking control for nonlinear systems with disturbances and dead-zone nonlinearities

Author

Listed:
  • Zhao, Nan-Nan
  • Wu, Li-Bing
  • Ouyang, Xin-Yu
  • Yan, Yan
  • Zhang, Rui-Yan

Abstract

This paper studies the problem of finite-time adaptive fuzzy tracking control for a class of nonlinear systems with unknown parameter uncertainties, nonsymmetric dead-zone inputs and mismatched external disturbances. Firstly, fuzzy logic systems (FLSs) are used to approximate the unknown nonlinear functions of the system model. Then, a novel finite-time adaptive tracking control scheme with disturbance estimator is developed to handle the unknown disturbance, which is more effective than the existing methods of disturbance rejection. Moreover, based on Lyapunov stability analysis of semi-global practical finite-time stable (SGPFS), it is proved that the proposed control scheme can guarantee that the states of system can quickly converge in finite time, and all the closed-loop system error signals are bounded. Finally, two simulation examples are used to demonstrate the effectiveness of the presented control approach.

Suggested Citation

  • Zhao, Nan-Nan & Wu, Li-Bing & Ouyang, Xin-Yu & Yan, Yan & Zhang, Rui-Yan, 2019. "Finite-time adaptive fuzzy tracking control for nonlinear systems with disturbances and dead-zone nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    • Handle: RePEc:eee:apmaco:v:362:y:2019:i:c:40
    DOI: 10.1016/j.amc.2019.06.008
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    References listed on IDEAS

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    1. Jun-yong Zhai & Zhibao Song & Hamid Reza Karimi, 2018. "Global finite-time control for a class of switched nonlinear systems with different powers via output feedback," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(13), pages 2776-2783, October.
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    Cited by:

    1. Li, Yalu & Li, Haitao & Li, Yuanyuan, 2021. "Constrained set controllability of logical control networks with state constraints and its applications," Applied Mathematics and Computation, Elsevier, vol. 405(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).
    3. Zhang, Zhi-Hui & Hao, Li-Ying & Guo, Mingjie, 2022. "Fault detection for uncertain nonlinear systems via recursive observer and tight threshold," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    4. Fu, Yingying & Li, Jing & Li, Xiaobo & Wu, Shuiyan, 2023. "Dynamic event-triggered adaptive control for uncertain stochastic nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    5. Xing, Mingqi & Wang, Yanqian & Zhuang, Guangming & Chen, Fu, 2021. "Event-based asynchronous and resilient filtering for singular Markov jump LPV systems against deception attacks," Applied Mathematics and Computation, Elsevier, vol. 403(C).
    6. Ding, Dong & Tang, Ze & Wang, Yan & Ji, Zhicheng, 2021. "Secure synchronization of complex networks under deception attacks against vulnerable nodes," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    7. Shao, Xingling & Yue, Xiaohui & Li, Jie, 2021. "Event-triggered robust control for quadrotors with preassigned time performance constraints," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    8. Yang, Yawei & Lin, Chong & Chen, Bing & Zhao, Xin, 2020. "H∞ observer design for uncertain one-sided Lipschitz nonlinear systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 375(C).
    9. Xu, Tianshu & Xia, Jianwei & Wang, Sanxia & Lian, Yuxiao & Zhang, Huasheng, 2020. "Extended dissipativity-based non-fragile sampled-data control of fuzzy Markovian jump systems with incomplete transition rates," Applied Mathematics and Computation, Elsevier, vol. 380(C).

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