Control of non-linear systems with time-dealy using state predictor based on synchronization

This paper proposes a controller design method for nonlinear systems with time-delay. The method consists of a state feedback and a state predictor based on synchronization of coupled systems. We consider the robust convergency of the prediction error under perturbation and model uncertainties. Then combining the state predictor with a static feedback, we proposed a predictor-based control of nonlinear systems with timedelay at the input. The effectiveness of the proposed method is illustrated by a numerical simulation example.