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

	Format: PDF Name: gruene_et_al_stab_sampled-data_cdc_2002.pdf Version: Published Version Available under License Creative Commons BY 4.0: Attribution
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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):	Erscheint in: Proceedings of the 41st IEEE Conference on Decision and Control. Volume 1. - Piscataway, NJ : IEEE Service Center , 2002 . - S. 1934-1939; https://doi.org/10.1109/CDC.2002.1184810
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:	21 Jun 2021 09:20
URI:	https://epub.uni-bayreuth.de/id/eprint/5497

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