Globally asymptotic stabilization for nonlinear time-delay systems with ISS inverse dynamics

The output feedback stabilization is considered for a class of nonlinear time-delay systems with inverse dynamics in this paper. An appropriate state observer is constructed for the unmeasurable system states in order to realize the control objective. By adopting the backstepping and Lyapunov-Krasovskii functional methods, a systematic design procedure for a memoryless output feedback control law is presented. It is shown that the designed controller can make the closed-loop system globally asymptotically stable while keeping all signals bounded. An illustrative example is discussed to show the effectiveness of the proposed control strategy.