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Optimal stabilization of hybrid systems using a set oriented approach

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005529
URN to cite this document: urn:nbn:de:bvb:703-epub-5529-9

Title data

Grüne, Lars ; Junge, Oliver:
Optimal stabilization of hybrid systems using a set oriented approach.
Bayreuth , 2006

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Abstract

We demonstrate how a recently developed new numerical technique for the construction of approximately optimal stabilizing feedback laws [available here] can naturally be extended in order to handle nonlinear hybrid systems with discrete control inputs. The idea of the method is to explicitly construct a finite graph model of the original hybrid system and to use shortest path algorithms in order to compute the optimal value function and the associated feedback law. As a numerical example, we consider a switched DC/DC power converter.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): Erscheint in: MTNS 2006 : Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. - Kyoto, Japan : Kyoto Univ. , 2006 . - S. 2089-2093
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-5529-9
Date Deposited: 18 May 2021 07:10
Last Modified: 17 Jun 2021 09:35
URI: https://epub.uni-bayreuth.de/id/eprint/5529
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