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

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.