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Sampled-data redesign for nonlinear multi-input systems

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005576
URN to cite this document: urn:nbn:de:bvb:703-epub-5576-5

Title data

Grüne, Lars ; Worthmann, Karl:
Sampled-data redesign for nonlinear multi-input systems.
Bayreuth , 2007

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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.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): Erscheint 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
Keywords: Sampled-datas system; Controller design; Lie brackets; Fliess expansion; Taylor expansion; Nonlinear control affine system; Convergence rate
DDC Subjects: 500 Science
500 Science > 510 Mathematics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5576-5
Date Deposited: 20 May 2021 10:28
Last Modified: 15 Jun 2021 10:22
URI: https://epub.uni-bayreuth.de/id/eprint/5576

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