Adaptive Fuzzy Fixed-Time Tracking Control for Nonlinear Systems With Time-Varying Full-State Constraints and Actuator Hysteresis

Abstract

This paper investigates the problem of adaptive fuzzy fixed-time control for a class of nonlinear systems subject to time-varying full-state constraints and actuator hysteresis. The fuzzy logic systems (FLSs) are employed to approximate the unknown nonlinear dynamics. A tan-type nonlinear mapping (NM) approach is used to solve the control problem of nonlinear systems with full-state constraints. The actuator hysteresis nonlinearities are expressed by differential equations with unknown parameters. And combining the adaptive backstepping control technique with the fixed-time stability theory, an adaptive fuzzy fixed-time control method is presented. The proposed control scheme can guarantee the boundedness of all signals in the closed-loop system without violating the state constraints, and the output can accurately track the desired signals in a fixed time. Finally, the feasibility of the presented algorithm is verified by simulation results.