Adaptive finite-time tracking control of full state constrained nonlinear systems with dead-zone

Abstract

This paper investigates the problem of adaptive finite-time tracking control for strict-feedback nonlinear continuous-time systems subject to full state constraints and dead-zone. By utilizing the finite-time stability theory, barrier Lyapunov functions and the adaptive backstepping method, a novel adaptive tracking control strategy is proposed. On the basis of the presented method, the finite-time control problem of the nonlinear system with dead-zone is solved. The finite-time controller is designed such that all the signals in the closed-loop system are bounded, the output is driven to track the reference signal to a small neighborhood and all states are ensured to remain in the predefined compact sets. Finally, the effectiveness of the proposed scheme is verified via some simulation results.