High order approximations by sampled-data feedback

Titelangaben

Grüne, Lars ; Nešić, Dragan ; Worthmann, Karl:
High order approximations by sampled-data feedback.
In: MTNS 2006 : Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. - Kyoto, Japan : Kyoto Univ. , 2006 . - S. 1780-1787

Weitere URLs

Abstract

Given a continuous time nonlinear closed loop system, we give explicit constructions for sampled-data feedback laws for which the trajectories of the sampled-data closed loop system converge to the continuous time trajectories with a prescribed rate of convergence as the sampling interval length tends to zero. In particular, we investigate necessary and sufficient conditions under which such sampled-data feedbacks exist. We give analytic solutions to the problem for local orders of convergence <=4 and present a Maple code for general orders.