Title data
Grüne, Lars ; Junge, Oliver:
Optimal stabilization of hybrid systems using a set oriented approach.
In:
MTNS 2006 : Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. -
Kyoto, Japan
: Kyoto Univ.
,
2006
. - pp. 2089-2093
Related URLs
Abstract in another language
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: | 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: | Yes |
DDC Subjects: | 500 Science 500 Science > 510 Mathematics |
Date Deposited: | 02 Mar 2021 11:27 |
Last Modified: | 18 May 2021 07:11 |
URI: | https://eref.uni-bayreuth.de/id/eprint/63588 |