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Global optimal control of quantized systems

Title data

Grüne, Lars ; Müller, Florian:
Global optimal control of quantized systems.
In: Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010. - Budapest , 2010 . - pp. 1231-1237
ISBN 978-963-311-370-7

Official URL: Volltext

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Abstract in another language

We propose a set oriented approach to the global infinite horizon optimal control of nonlinear systems with quantized state measurement and quantized control values. The algorithm relies on a dynamic programming principle in which the quantization error is modelled as an opponent in a min-max dynamic game formulation. For the solution of the problem we propose a set oriented approach followed by a graph theoretic optimization algorithm. We also discuss a dynamic feedback extension and illustrate the performance of the proposed approach by experimental results.

Further data

Item Type: Article in a book
Refereed: Yes
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)
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 24 Feb 2021 14:00
Last Modified: 23 Mar 2021 09:12
URI: https://eref.uni-bayreuth.de/id/eprint/63417