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Adaptive event-triggered tracking using nonlinear disturbance observer of arbitrarily switched uncertain nonlinear systems in pure-feedback form

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  • Jeong, Dong Min
  • Yoo, Sung Jin

Abstract

An adaptive nonlinear disturbance observer (NDO) strategy is proposed for event-triggered tracking of switched uncertain pure-feedback nonlinear systems with mismatched external disturbances and arbitrary switching. Contrary to existing control results using NDOs for switched nonlinear systems, the main contribution of this study is the development of a common NDO-based event-triggered tracker with a triggering law to handle arbitrarily switched unknown nonaffine nonlinearities. Using the common Lyapunov function approach, a recursive NDO-based tracker design methodology is investigated to guarantee that all the closed-loop signals are uniformly ultimately bounded, and Zeno behavior is excluded in the resulting event-triggering mechanism. In each recursive step, the same adaptive estimate terms in the control laws and the NDO are derived via the function approximation technique to compensate for mismatched and switched unknown nonaffine nonlinearities. Finally, simulation examples are considered to verify the effectiveness of the proposed control technique.

Suggested Citation

  • Jeong, Dong Min & Yoo, Sung Jin, 2021. "Adaptive event-triggered tracking using nonlinear disturbance observer of arbitrarily switched uncertain nonlinear systems in pure-feedback form," Applied Mathematics and Computation, Elsevier, vol. 407(C).
    • Handle: RePEc:eee:apmaco:v:407:y:2021:i:c:s0096300321004240
    DOI: 10.1016/j.amc.2021.126335
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    References listed on IDEAS

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    1. Hyoung Oh Kim & Sung Jin Yoo, 2017. "Approximation-based disturbance observer approach for adaptive tracking of uncertain pure-feedback nonlinear systems with unmatched disturbances," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(8), pages 1775-1786, June.
    2. Liu, Yu-An & Tang, Shengdao & Liu, Yufan & Kong, Qingkai & Wang, Jing, 2021. "Extended dissipative sliding mode control for nonlinear networked control systems via event-triggered mechanism with random uncertain measurement," Applied Mathematics and Computation, Elsevier, vol. 396(C).
    3. Sung Jin Yoo, 2017. "Approximation-based adaptive tracking of a class of uncertain nonlinear time-delay systems in nonstrict-feedback form," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(7), pages 1347-1355, May.
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    Cited by:

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    2. Yuan, Manman & Zhai, Junyong & Ye, Hui, 2022. "Adaptive output feedback control for a class of switched stochastic nonlinear systems via an event-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 422(C).

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