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High order approximations by sampled-data feedback

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005532
URN to cite this document: urn:nbn:de:bvb:703-epub-5532-2

Title data

Grüne, Lars ; Nešić, Dragan ; Worthmann, Karl:
High order approximations by sampled-data feedback.
Bayreuth , 2006

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Abstract

Given a continuous time nonlinear closed loop system, we give explicit constructions for 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 sampling interval length tends to zero. In particular, we investigate necessary and sufficient conditions under which such sampled-data feedbacks exist. We give analytic solutions to the problem for local orders of convergence <=4 and present a Maple code for general orders.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): Erscheint in: MTNS 2006 : Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. - Kyoto, Japan : Kyoto Univ. , 2006 . - S. 1780-1787
Keywords: nonlinear sampled–data control; high–order convergence rate; Taylor expansion; MAPLE
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-5532-2
Date Deposited: 18 May 2021 07:26
Last Modified: 17 Jun 2021 09:27
URI: https://epub.uni-bayreuth.de/id/eprint/5532

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