Event-Triggered Fuzzy Adaptive Control of Nontriangular Structure Fractional Order Nonlinear Systems

Abstract

This paper focuses on the fuzzy adaptive control of incommensurate uncertain nontriangular structure fractional order systems (FOSs). First, virtual control variable is separated by differential Mean Value Theorem, and fuzzy logic systems are employed to approximate the uncertain system dynamics. Then, adaptive update laws are designed to estimate the approximation errors and dynamic surface control (DSC) technique with error compensation mechanism is utilized to conquer the calculation complexity explosion phenomenon in the backstepping process. After that relative-threshold-based event-triggered strategy is adopted to release more communication resources and Zeno behavior is proved to be avoided. Finally, the stability of the closed-loop systems is confirmed by indirect Lyapunov method and the validity of the developed controller is verified by the simulation examples.