Finite‐time adaptive fuzzy tracking control for high‐order nonlinear time‐delay systems with dead‐zone

Abstract

AbstractIn this paper, the adaptive fuzzy finite‐time tracking control problem is studied for a class of non‐strict feedback high‐order time‐delay systems with unknown dead‐zone. The fuzzy logic systems are introduced to approximate the uncertain nonlinear functions in the system. The Lyapunov–Krasovskii (L–K) functional technology is used to compensate for the unknown time delays. In addition, based on the backstepping technique and finite‐time theory, an adaptive fuzzy finite‐time tracking controller is designed to ensure that the closed‐loop system is semi‐global practical finite‐time stability, and the tracking error can converge to a small neighbourhood around the origin within a finite time. Finally, the rationality of the proposed method is verified by simulation results.