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Adaptive pre-assigned finite-time control of uncertain nonlinear systems with unknown control gains

Author

Listed:
  • Yu, Zhefeng
  • Zhao, Feng
  • Ding, Shihong
  • Chen, Xiangyong

Abstract

This paper mainly studies an adaptive finite-time control problem for a kind of uncertain strict feedback systems with unknown control gains. First, the original strict-feedback system is transformed into a pure-feedback system. And then, we propose a modified adaptive finite-time design idea on the basis of the property of pre-assigned finite-time function (PFTF) and Nussbaum gain. The designed controller can make sure that all states converge to an arbitrarily region in finite-time and signals in the closed-loop system are finite-time bounded. Moreover, the presented controller is smooth and the settling time does not rely on the initial values and design parameters. Finally, the simulation study is made to illustrate the innovativeness for the proposed scheme.

Suggested Citation

  • Yu, Zhefeng & Zhao, Feng & Ding, Shihong & Chen, Xiangyong, 2022. "Adaptive pre-assigned finite-time control of uncertain nonlinear systems with unknown control gains," Applied Mathematics and Computation, Elsevier, vol. 417(C).
    • Handle: RePEc:eee:apmaco:v:417:y:2022:i:c:s0096300321008663
    DOI: 10.1016/j.amc.2021.126784
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    References listed on IDEAS

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    1. Yan-Hui Jing & Guang-Hong Yang, 2017. "Adaptive quantised fault-tolerant tracking control of uncertain nonlinear systems with unknown control direction and the prescribed accuracy," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(13), pages 2826-2837, October.
    2. Mathiyalagan, K. & Ragul, R., 2022. "Observer-based finite-time dissipativity for parabolic systems with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    3. Xifang Sun & Weisheng Chen & Jian Wu, 2016. "Global adaptive exponential stabilisation for nonlinear systems with multiple unknown control directions," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(16), pages 3908-3918, December.
    4. Xiao-Zheng Jin & Guang-Hong Yang & Xiao-Heng Chang, 2013. "Robust and adaptive tracking control against actuator faults with a linearised aircraft application," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(1), pages 151-165.
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    Cited by:

    1. Chen, Xiang & Li, Shi & Wang, Ronghao & Xiang, Zhengrong, 2023. "Event-Triggered output feedback adaptive control for nonlinear switched interconnected systems with unknown control coefficients," Applied Mathematics and Computation, Elsevier, vol. 445(C).

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