Adaptive Fuzzy Backstepping Control Design for a Class of Nonlinear Time-Delay Systems With Unknown Dead-Zone

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 semiglobally uniformly ultimately bounded. Finally, a simulation example is provided to illustrate the Validity of the theoretical results.