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Optimal stabilization of hybrid systems using a set oriented approach

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

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: 23 Mar 2021 09:13
URI: https://eref.uni-bayreuth.de/id/eprint/63588