Sampled-data redesign for nonlinear multi-input systems

Titelangaben

Grüne, Lars ; Worthmann, Karl:
Sampled-data redesign for nonlinear multi-input systems.
In: Ancona, Fabio ; Bressan, Alberto ; Cannarsa, Piermarco ; Clarke, Francis ; Wolenski, Peter R. (Hrsg.): Geometric Control And Nonsmooth Analysis : in honor of the 73rd birthday of H. Hermes and the 71st birthday of R. T. Rockafellar. - New Jersey, NJ : World Scientific , 2011 . - S. 206-227 . - (Series on Advances in Mathematics for Applied Sciences ; 76 )
ISBN 978-981-277-606-8
DOI: https://doi.org/10.1142/9789812776075_0011

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Abstract

We investigate the sampled-data redesign problem for nonlinear control affine multi-input systems and consider 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 sampling time vanishes. We analyze geometric conditions for the existence of such sampled-data feedback laws and give formulae and algorithms for their computation.