Continuous-time controller redesign for digital implementation: a trajectory based approach

L. Grüne, K. Worthmann, D. Nesic: Continuous-time controller redesign for digital implementation: a trajectory based approach
Automatica 44, 225 - 232, 2008

Smart-Link: http://www.elsevier.com/locate/issn/00051098
DOI: 10.1016/j.automatica.2007.05.003
Keywords: nonlinear sampled-data control; convergence rate; Taylor series expansion
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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.

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