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Multiple model-based event-triggered adaptive control of a class of discrete-time nonlinear systems

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  • Miao Huang
  • Xin Wang
  • Zhe-Ming Lu
  • Long-Hua Ma
  • Ming Xu
  • Hong-Ye Su

Abstract

In this study, the problem of event-triggered-based adaptive control (ETAC) for a class of discrete-time nonlinear systems with unknown parameters and nonlinear uncertainties is considered. Both neural network (NN) based and linear identifiers are used to approximate the unknown system dynamics. The feedback output signals are transmitted, and the parameters and the NN weights of the identifiers are tuned in an aperiodic manner at the event sample instants. A switching mechanism is provided to evaluate the approximate performance of each identifier and decide which estimated output is utilised for the event-triggered controller design, during any two events. The linear identifier with an auxiliary output and an improved adaptive law is introduced so that the nonlinear uncertainties are no longer assumed to be Lipschitz. The number of transmission times are significantly reduced by incorporating multiple model schemes into ETAC. The boundedness of both the parameters of identifiers and the system outputs is demonstrated though the Lyapunov approach. Simulation results demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Miao Huang & Xin Wang & Zhe-Ming Lu & Long-Hua Ma & Ming Xu & Hong-Ye Su, 2019. "Multiple model-based event-triggered adaptive control of a class of discrete-time nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(7), pages 1353-1367, May.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:7:p:1353-1367
    DOI: 10.1080/00207721.2019.1615569
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    Cited by:

    1. Zhang, Yanqi & Wang, Zhenlei & Wang, Xin, 2023. "Adaptive modified prescribed performance constraint control for uncertain nonlinear discrete-time systems," Applied Mathematics and Computation, Elsevier, vol. 441(C).

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