Abstract: A design approach to state feedback tracking controller is proposed for a class of strict feedback nonlinear time-delay systems by means of backstepping technique.Domination method is used to deal with nonlinear time-delay functions.Under the assumption that the nonlinear time-delay functions of systems satisfy Lipschitz condition, globally asymptotical tracking of the given reference signal is achieved and the bound of all signals of the resulted closed-loop sy stem is also guaranteed.By constructing a Lyapunov-Krasoviskii functional, stability of the closed-loop system is proved.Feasibility of the proposed approach is shown in a simulation example.

Key words: Lyapunov-Krasoviskii functional, tracking control, nonlinear time-delay systems, backstepping design CLC number:TP 273 Document code:A