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Event-Triggered Finite-Time Adaptive Fuzzy Tracking Control for Stochastic Nontriangular Structure Nonlinear Systems

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Abstract

This article discusses the problem of event-triggered finite-time control (ETFTC) for a class of stochastic nontriangular structure nonlinear systems. By employing the Mean Value Theorem, the stochastic nontriangular structure nonlinear systems are transformed into the equivalent systems with affine structure. Fuzzy logic systems (FLSs) are utilized to identify the unknown nonlinear functions. A finite-time performance function (FTPF) is introduced in the backstepping design process to guarantee that the tracking error satisfies the predefined performance in a finite time. An improved event-triggered control mechanism is introduced to reduce the communication burden from the controller to the actuator. Furthermore, the results show that all the signals in the closed-loop system are bounded in probability, and the tracking error is confined to a given set at any settling time. The effectiveness and suitability of the proposed method are verified by two simulations.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 61603003 and 61472466).

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Authors and Affiliations

  1. School of Mathematics, Hefei University of Technology, Hefei, 230601, China

    Yangang Yao & Jieqing Tan

  2. School of Computer and Information, Anqing Normal University, Anqing, 246011, China

    Jian Wu

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  1. Yangang Yao
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Correspondence to Jieqing Tan.

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Yao, Y., Tan, J. & Wu, J. Event-Triggered Finite-Time Adaptive Fuzzy Tracking Control for Stochastic Nontriangular Structure Nonlinear Systems. Int. J. Fuzzy Syst. 23, 2157–2169 (2021). https://doi.org/10.1007/s40815-021-01085-y

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