Conference Proceedings

High order approximations by sampled-data feedback

L Grune, K Worthmann, D NESIC

Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006) | MTNS 2006 | Published : 2006


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.