Adaptive backstepping dead-zone control for a class of nonlinear time-delay systems ussing fuzzy approximators

This paper investigates the fusion of unknown dead-zone nonlinearity with adaptive fuzzy control techniques in face of nonlinear time-delayed systems. Control design achieved by using the backstepping recursive method and Fuzzy logic systems in Mamdani type is used to approximate the unknown nonlinear functions, and Lyapunov-Krasovskii functionals are used to compensate the effect of delay term. Based on Lyapunov stability theory and Theorem 1, the proposed adaptive fuzzy controller guarantees that all the closed-loop signals are semi-globally uniformly ultimately bounded. Finally, a simulation example is provided to illustrate the Validity of the theoretical results.