Adaptive fuzzy control for pure-feedback systems with full state constraints and unknown nonlinear dead zone

Abstract In this paper, an adaptive control problem for a class of pure-feedback time-varying delay nonlinear systems with full state constraints and unknown dead zone is investigated. Differing from the full state constraints without considering the time-varying delay in nonlinear systems, a well defined Barrier Lyapunov-Krasovskii functional is designed to address the difficult in this paper. By defining a continuous function and combining with mean value theorem, system is modeled with dead zone. Furthermore, a novel adaptive control scheme is developed based on recursive backstepping method. It is proved that the proposed approach can guarantee a desired tracking performance and semi-global asymptotically stability of the closed-loop system. Finally, some simulation results are given to verify the effectiveness of the proposed strategy.