Adaptive Fuzzy Predefined-Time Tracking Control Design for Nonstrict-Feedback High-Order Nonlinear Systems With Input Quantization

Abstract

This article studies the problem of an adaptive fuzzy predefined-time tracking control approach for a type of uncertain nonstrict-feedback high-order nonlinear systems with input quantization. The considered plants contain unknown nonlinear functions, input quantization, and external disturbances. Based on the backstepping recursive technique and predefined-time stability criterion, a fuzzy adaptive predefined-time control strategy is presented. To address the difficulties posed by the uncertain nonlinearities within the original systems, the fuzzy logic systems are incorporated into estimate the unknown nonlinear functions, while power integrator technology is used to overcome the hurdle presented by high-order terms. Using the predefined-time Lyapunov stability theory, the system stability analysis is provided, and it is proved that all signals in the closed-loop system are bounded within the preset time interval. Ultimately, the effectiveness of the presented control approach is corroborated through numerical simulation.