Sampled-Data Reduction of Nonlinear Input-Delayed Dynamics

A reduction approach on the discrete-time equivalent model of a nonlinear input delayed system is proposed to design a sampled-data stabilizing feedback. Global asymptotic stability of the feedback system is so achieved by solving the problem over the reduction state. Stabilization of the reduced dynamics is obtained through input-Lyapunov matching. Connections with prediction-based methods are established. A simulated example illustrates the performances.