Numerical Schemes for Nonlinear Predictor Feedback

This paper focuses on a specific aspect of the implementation problem for predictor-based feedback laws: the problemof the approximation of the predictormapping. It is shown that the numerical approximation of the predictor mapping by means of a numerical scheme in conjunction with a hybrid feedback law that uses sampled measurements can be used for the global stabilization of all forward complete nonlinear systems that are globally asymptotically stabilizable and locally exponentially stabilizable in the delay-free case. Explicit formulae are provided for the estimation of the parameters of the resulting hybrid control scheme.