Brief paper: Continuous-time controller redesign for digital implementation: A trajectory based approach

Authors:
Lars Grüne;Karl Worthmann;Dragan Nešić
Affiliations:
Mathematisches Institut, Fakultät für Mathematik und Physik, Universität Bayreuth, 95440 Bayreuth, Germany;Mathematisches Institut, Fakultät für Mathematik und Physik, Universität Bayreuth, 95440 Bayreuth, Germany;Department of Electrical and Electronic Engineering, The University of Melbourne, Victoria 3010, Australia
Venue:
Automatica (Journal of IFAC)
Year:
2008

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Abstract

Given a continuous-time nonlinear closed loop system, we investigate 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 length of the sampling interval tends to zero. We derive necessary and sufficient conditions for the existence of such sampled-data feedback laws and-in case of existence-provide explicit redesign formulas and algorithms for these controllers.