Fixed-Time Fuzzy Control for Uncertain Nonlinear Systems With Prescribed Performance and Event-Triggered Communication

Abstract

A fixed-time fuzzy control (FTFC) scheme is suggested for uncertain nonlinear systems with prescribed performance (PP) and event-triggered communication. First, the original system with PP constraints is transformed into an unconstrained one using a coordinate transformation. Next, fuzzy logic systems (FLSs) are introduced to estimate the uncertain nonlinear functions, and an event-triggered mechanism (ETM) is designed to reduce the update frequency of the control signal. Then, a fixed-time fuzzy controller is proposed to ensure that the tracking error converges within a fixed time. Rigorous theoretical analysis shows that the proposed control scheme can achieve the fixed-time convergence of the tracking error according to the PP requirement. At the same time, communication resources are saved compared to traditional time-triggered control methods. Finally, the validity of the theoretical results is verified by simulation results.