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Stabilization of sampled-data nonlinear systems via their approximate models : an optimization based approach

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005497
URN to cite this document: urn:nbn:de:bvb:703-epub-5497-1

Title data

Grüne, Lars ; Nešić, Dragan:
Stabilization of sampled-data nonlinear systems via their approximate models : an optimization based approach.
Bayreuth , 2002

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Abstract

We present results on numerical regulator design for sampled-data nonlinear plants via their approximate discrete-time plant models. The regulator design is based on an approximate discrete-time plant model and is carried out either via an infinite horizon optimization problem or via a finite horizon with terminal cost optimization problem. In general, it is not true that a stabilizing controller for a discrete-time approximate model also stabilizes the exact sampled-data system, hence extra conditions are needed to ensure the desired behavior for the exact closed-loop system. In this paper we focus on the case when the sampling period T and the accuracy parameter h of the approximate discrete-time plant model are independent of each other and present appropriate conditions under which this approach yields practical and/or semiglobal stability of the exact discrete-time model.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen In:
Proceedings of the 41st IEEE Conference on Decision and Control. Volume 1. - Piscataway, NJ : IEEE Service Center , 2002 . - S. 1934-1939
Keywords: Controller design; asymptotic controllability; stabilization; numerical methods; optimal control
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-5497-1
Date Deposited: 12 May 2021 06:34
Last Modified: 12 May 2021 06:34
URI: https://epub.uni-bayreuth.de/id/eprint/5497

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