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A new result on semi-synchronous event-triggered backstepping robust control for a class of non-Lipschitzian networked systems

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  • Li, Jiahao
  • Liu, Yu
  • Yu, Jinyong

Abstract

The paper investigates the backstepping robust control problem for a class of nonlinear networked systems. The non-Lipschitz conditions of linear growth condition and Hölder condition are considered in the time-varying disturbance and uncertainty. An important innovation is that the virtual controller is designed to be piecewise constant such that the usage of the command filter is avoided. In the process of designing the robust controller, a semi-synchronous event-triggered scheme is proposed to relieve the communication pressure in high-order systems. Thus, a switched controller without using average dwell time (ADT) is considered. The finite-time practical stability with the form of fast terminal sliding mode (TSM) is also obtained. Then, the Zeno behavior is excluded and a self-triggered scheme is further proposed to avoid the continuous monitoring of the event-triggered conditions. Compared with some existing command-filtered results, the design process is simplified and more suitable for networked systems. The effectiveness of the proposed theory is validated by the numerical simulation of a hypersonic vehicle.

Suggested Citation

  • Li, Jiahao & Liu, Yu & Yu, Jinyong, 2022. "A new result on semi-synchronous event-triggered backstepping robust control for a class of non-Lipschitzian networked systems," Applied Mathematics and Computation, Elsevier, vol. 424(C).
    • Handle: RePEc:eee:apmaco:v:424:y:2022:i:c:s0096300322001138
    DOI: 10.1016/j.amc.2022.127027
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    References listed on IDEAS

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    1. 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).
    2. Xin, Li-Ping & Yu, Bo & Zhao, Lin & Yu, Jinpeng, 2020. "Adaptive fuzzy backstepping control for a two continuous stirred tank reactors process based on dynamic surface control approach," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    3. Yin, Qitian & Wang, Mao & Jing, He, 2020. "Stabilizing backstepping controller design for arbitrarily switched complex nonlinear system," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    4. Ma, Jiali & Park, Ju H. & Xu, Shengyuan & Cui, Guozeng & Yang, Zhichun, 2020. "Command-filter-based adaptive tracking control for nonlinear systems with unknown input quantization and mismatching disturbances," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    5. Qing-Yuan Xu & Xiao-Dong Li, 2018. "Adaptive fuzzy ILC of nonlinear discrete-time systems with unknown dead zones and control directions," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(9), pages 1878-1894, July.
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