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

Title data

Grüne, Lars ; Nešić, Dragan:
Stabilization of sampled-data nonlinear systems via their approximate models : an optimization based approach.
In: Proceedings of the 41st IEEE Conference on Decision and Control. Volume 1. - Piscataway, NJ : IEEE Service Center , 2002 . - pp. 1934-1939
ISBN 0-7803-7516-5
DOI: https://doi.org/10.1109/CDC.2002.1184810

Abstract in another language

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: Article in a book
Refereed: Yes
Institutions of the University: 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)
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
Result of work at the UBT: No
DDC Subjects: 500 Science
500 Science > 510 Mathematics
Date Deposited: 01 Mar 2021 14:40
Last Modified: 23 Mar 2021 09:13
URI: https://eref.uni-bayreuth.de/id/eprint/63406