Title data
Fleig, Arthur ; Grüne, Lars ; Guglielmi, Roberto:
Some results on Model Predictive Control for the Fokker-Planck equation.
In:
MTNS 2014 : 21st International Symposium on Mathematical Theory of Networks and Systems, July 7-11, 2014, Groningen, The Netherlands ; Proceedings. -
Groningen
,
2014
. - pp. 1203-1206
ISBN 978-90-367-6321-9
This is the latest version of this item.
Related URLs
Project information
Project title: |
Project's official title Project's id Marie-Curie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO) 264735-SADCO |
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Project financing: |
7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union |
Abstract in another language
A Model Predictive Control scheme is applied to track the solution of a Fokker-Planck equation over a fixed time horizon. We analyse the dependence of the total cost functional on several parameters of the algorithm, in particular on the receding time horizon, on the regularization parameter, and on the sampling time. Comparison among different numerical simulations show valuable improvements by properly tuning the scheme's parameters. Our numerical study is complemented by a theoretical controllability analysis explaining the superior performance of controls with time and space dependence.
Further data
Item Type: | Article in a book |
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Refereed: | Yes |
Additional notes: | Paper No. 96, extended abstract.
© 2014 IEEE. Reuse of this content is subject to the IEEE Copyright. This content will be published in: Proceedings on the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014), July 7–11, 2014, University of Groningen, Groningen, Netherlands, check the forthcoming abstract in IEEE Explore. |
Keywords: | Fokker-Planck equation; optimal control; feedback control systems; stochastic control and estimation |
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) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics 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: | 26 Mar 2015 10:08 |
Last Modified: | 09 Jan 2024 13:31 |
URI: | https://eref.uni-bayreuth.de/id/eprint/9351 |
Available Versions of this Item
-
Some results on Model Predictive Control for the Fokker-Planck equation. (deposited 21 Mar 2015 22:00)
- Some results on Model Predictive Control for the Fokker-Planck equation. (deposited 26 Mar 2015 10:08) [Currently Displayed]