Gruene, Lars (Univ. of Bayreuth), Worthmann, Karl (Univ. Bayreuth), Nesic, Dragan (The Univ. of Melbourne)

High Order Approximations by Sampled-Data Feedback

Scheduled for presentation during the Regular Session "Sampled-data control II" (ThA09), Thursday, July 27, 2006, 11:15−11:40, Room J

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

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 less or equal 4 and present a Maple code for general orders.