Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

Periodic optimal control, dissipativity and MPC

Title data

Zanon, Mario ; Grüne, Lars ; Diehl, Moritz:
Periodic optimal control, dissipativity and MPC.
In: IEEE Transactions on Automatic Control. Vol. 62 (2017) Issue 6 . - pp. 2943-2949.
ISSN 0018-9286
DOI: https://doi.org/10.1109/TAC.2016.2601881

This is the latest version of this item.

Related URLs

Project information

Project title:
Project's official titleProject's id
FP7-ITN SADCOMC ITN-264735
FP7-ITN TEMPOMC 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 grantsNo 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 in another language

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: Article in a journal
Refereed: Yes
Keywords: periodic economic model predictive control; strict dissipativity
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
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 16 Sep 2016 07:34
Last Modified: 29 May 2017 08:50
URI: https://eref.uni-bayreuth.de/id/eprint/34737

Available Versions of this Item