Automatica, Vol.44, No.1, 225-232, 2008
Continuous-time controller redesign for digital implementation: A trajectory based approach
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. (C) 2007 Elsevier Ltd. All rights reserved.