Abstract: An adaptive fuzzy control design approach is proposed for a class of nonlinear time-delay systems that include unknown functions. Based on the backstepping design technique, unknown functions are approximated by fuzzy logic systems (FLS), and the adaptive bounding technique is employed to estimate the upper bound of the approximation errors. The appropriate Lyapunov-Krasovskii functional, combining with the domination technique, is constructed to compensate for the time delays. The closed-loop systems are proven to be semi-globally uniformly ultimately bounded, and the arbitrary output tracking accuracy is guaranteed by tuning the design parameters. Simulation result is presented to show the effectiveness of the approach.

Key words: nonlinear time-delay systems, backstepping, domination, fuzzy identification