Global stabilization by means of a new sampled-data control scheme for a class of nonlinear time-delay systems

In this paper, we investigate the problem of state-feedback sampled-data control for a class of nonlinear time-delay systems, whose subsystems have chained integrators with low-order powers. Combing the input-Lyapunov matching approach with a revamped adding a power integrator technique, a new predictor-based sampled-data control scheme is proposed for solvability of this problem. Owing to the design based on discrete-time equivalent model, the proposed controller can reproduce the performance of the continuous-time system at sampling instants, and a computable discrete-time predictor is provide to compensate input delays of larger length. A numerical example is provided to verify the effectiveness of the proposed method.