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Event-triggered adaptive reliable guaranteed performance control for uncertain nonlinear systems with abrupt non-affine faults

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  • Li, Zeyang
  • Dong, Jiuxiang
  • Xi, Changjiang

Abstract

In this paper, the issue of neural-network-approximation-based adaptive reliable event-triggered tracking for a class of strict-feedback systems with abrupt non-affine fault is investigated. The mean-value theorem is first used to decouple non-affine fault into affine form and then the Nussbaum function is introduced to overcome the difficulty of unknown control gains encountered in controller design process. Under the framework of adaptive backstepping technique, a novel event-triggered fault-tolerant control scheme is proposed, which ensures the stability of the system and reduces the waste of transmission resources. It should be mentioned that abrupt actuator fault and the discontinuous control signals under the event-triggered mechanism may lead to poor transient performance. Therefore, the prescribed performance bounds (PPB) method is used to constrain the tracking error within the desired specified range, which successfully improves the transient performance of the system. Finally, it is proved that all closed-loop signals under the proposed control method are semi-globally bounded and the Zeno behavior is avoided. The simulation results illustrate the effectiveness of the proposed method.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:apmaco:v:380:y:2020:i:c:s0096300320302253
    DOI: 10.1016/j.amc.2020.125256
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    Citations

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    Cited by:

    1. 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).
    2. Lü, Shao-Yu & Jin, Xiao-Zheng & Wu, Xiao-Ming & Ding, Li-Jian & Chi, Jing, 2022. "Robust adaptive event-triggered fault-tolerant control for time-varying systems against perturbations and faulty actuators," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    3. 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).
    4. Zhou, Zepeng & Zhu, Fanglai & Xu, Dezhi & Guo, Shenghui & Zhao, Younan, 2022. "Attack resilient control for vehicle platoon system with full states constraint under actuator faulty scenario," Applied Mathematics and Computation, Elsevier, vol. 419(C).
    5. 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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