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

In 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. In this paper, 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 L-K functional technology is used to compensate for the unknown time delays. In addition, based on the backstepping technique and finite-time theory, the proposed 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 neighborhood around the origin within a finite time. image