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Periodic optimal control, dissipativity and MPC

URN to cite this document: urn:nbn:de:bvb:703-epub-2007-1

Title data

Grüne, Lars ; Zanon, Mario:
Periodic optimal control, dissipativity and MPC.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 4 S.

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Available under License	German copyright law. 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 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

Recent research has established the importance of dissipativity for proving stability of economic MPC in the case of a 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 three different ways of extending the notion of dissipativity for periodic systems and illustrate them with three examples.

Further data

Item Type:	Preprint, postprint
Additional notes (visible to public):	erschienen in: MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. - Groningen : University of Groningen , 2014 . - S. 1804-1807 ISBN 978-90-367-6321-9 A preliminary version was published at the homepage of the first author in December 2013.
Keywords:	economic model predictive control; optimal periodic solutions; dissipativity
DDC Subjects:	500 Science > 510 Mathematics
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 Profile Fields > Advanced Fields > Nonlinear Dynamics 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) Profile Fields Profile Fields > Advanced Fields
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-2007-1
Date Deposited:	17 Apr 2015 07:27
Last Modified:	01 Jun 2021 08:54
URI:	https://epub.uni-bayreuth.de/id/eprint/2007

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