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Some results on Model Predictive Control for the Fokker-Planck equation

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, The Netherlands : University of Groningen , 2014 . - pp. 1203-1206
ISBN 978-90-367-6321-9

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Official URL: Volltext

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Project information

Project title:
Project's official titleProject's id
Marie-Curie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO)264735-SADCO

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
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: 28 Mar 2019 11:20
URI: https://eref.uni-bayreuth.de/id/eprint/9351

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