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

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005578
URN to cite this document: urn:nbn:de:bvb:703-epub-5578-6

Title data

Grüne, Lars ; Worthmann, Karl ; Nešić, Dragan:
Continuous-time controller redesign for digital implementation : A trajectory based approach.
Bayreuth , 2006

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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.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): Erscheint in: Automatica. Bd. 44 (Januar 2008) Heft 1 . - S. 225-232; https://doi.org/10.1016/j.automatica.2007.05.003
Keywords: Nonlinear sampled-data control; Convergence rate; Taylor series expansion
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-5578-6
Date Deposited: 20 May 2021 10:33
Last Modified: 16 Jun 2021 09:34
URI: https://epub.uni-bayreuth.de/id/eprint/5578

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