Periodic optimal control, dissipativity and MPC

URN to cite this document: urn:nbn:de:bvb:703-epub-2024-6

Title data

Zanon, Mario ; Grüne, Lars ; Diehl, Moritz:
Periodic optimal control, dissipativity and MPC.
Department of Microsystems Engineering IMTEK, University of Freiburg, Department of Mathematics, University of Bayreuth, ESAT / OPTEC, KU Leuven
Bayreuth, Germany , 2015 . - 6 S.

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Name:	Zanon_Gruene_Diehl_periodic_2015.pdf
Version:	Preprint
Available under License	German copyright law. This contribution is freely accessible with the consent of the copyright holder on the basis of an (DFG-funded) alliance or national license. The document may be used free of charge for personal use. In addition, the reproduction, editing, distribution and any kind of exploitation require the written consent of the respective rights holder.

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Project information

Project title:

Project's official title	Project's id
FP7-ITN SADCO	MC ITN-264735
FP7-ITN TEMPO	MC ITN-607957
ERC-Starting Grant HIGHWIND “Simulation, Optimization and Control of High-Altitude Wind Power Generators”	259 166
RC KUL "Optimization in Engineering Center (OPTEC)"	PFV/10/002
RC KUL Project "MaNet"	GOA/10/09
RC KUL Project "Global real-time optimal control of autonomous robots and mechatronic systems"	GOA/10/11
FWO PhD/postdoc grants	No information
IWT PhD Grants, IWT project "Eurostars SMART"	No information
BELSPO Interuniversity Attraction Poles Programme (IUAP) P7 "Dynamical systems, control and optimization" (DYSCO)	IUAP P7

Project financing:

7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union
European Research Council (ERC)
Research Council K.U. Leuven (RC KUL)
Flemish Government, Research Foundation - Flanders (FWO)
Agency for Innovation by Science and Technology (IWT) in Brussel
Belgian Federal Science Policy Office (BELSPO)

Abstract

Recent research has established the importance of (strict) dissipativity for proving stability of economic MPC in the case of an optimal steady state. In many cases, though, steady state operation is not economically optimal and periodic operation of the system yields a better performance. In this paper, we propose ways of extending the notion of (strict) dissipativity for periodic systems. We prove that optimal P-periodic operation and MPC stability directly follow, similarly to the steady state case, which can be seen as a special case of the proposed framework. Finally, we illustrate the theoretical results with several simple examples.

Further data

Item Type:	Preprint, postprint
Keywords:	periodic economic model predictive control; strict dissipativity
DDC Subjects:	500 Science > 510 Mathematics
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 Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-2024-6
Date Deposited:	24 Apr 2015 07:33
Last Modified:	28 Mar 2019 15:19
URI:	https://epub.uni-bayreuth.de/id/eprint/2024