Optimization Based Stabilization of Sampled-Data Nonlinear Systems via Their Approximate Discrete-Time Models

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005501
URN to cite this document: urn:nbn:de:bvb:703-epub-5501-0

Title data

Grüne, Lars ; Nešić, Dragan:
Optimization Based Stabilization of Sampled-Data Nonlinear Systems via Their Approximate Discrete-Time Models.
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 both cases we discuss situations when the sampling period T and the integration period h used in obtaining the approximate discrete-time plant model are the same or they are independent of each other. We show that using this approach practical and/or semiglobal stability of the exact discrete-time model is achieved under appropriate conditions.

Further data

Item Type:	Preprint, postprint
Additional notes (visible to public):	Erscheint in: SIAM Journal on Control and Optimization. Bd. 42 (Juli 2003) Heft 1 . - S. 98-122; https://doi.org/10.1137/S036301290240258X
Keywords:	Controller design; Asymptotic controllability; Stabilization; Numerical methods; Optimal control; Approximate model; Discretization; Sampling
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-5501-0
Date Deposited:	12 May 2021 11:19
Last Modified:	21 Jun 2021 09:04
URI:	https://epub.uni-bayreuth.de/id/eprint/5501

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