Spline approximated feedbacks for local sample-and-hold stabilization of nonlinear retarded systems: Applications

摘要

In this paper it is shown how to implement digitally a significant class of state feedbacks for nonlinear retarded systems. Sufficient conditions are provided such that the sampled-data controller provides practical stabilization with arbitrarily small final target ball of the origin. The results shown in the paper by the author, titled Stability preservation under sampling and approximation of feedbacks for retarded systems, SIAM SICON, 2016, are here further validated with applications to a population model and to a continuous stirred tank reactor. For ease of presentation, in this conference paper uniform sampling is employed. Moreover, here just the local case is presented, as very frequent in practical applications.