Economic model predictive control without terminal constraints: optimal periodic operation

URN to cite this document: urn:nbn:de:bvb:703-epub-2139-8

Title data

Müller, Matthias A. ; Grüne, Lars:
Economic model predictive control without terminal constraints: optimal periodic operation.
Institute for Systems Theory and Automatic Control, University of Stuttgart, Department of Mathematics, University of Bayreuth
Bayreuth , 2015 . - 8 S.

Format: PDF Name: periodic_eco_MPC.pdf Version: Accepted Version 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 DFG-Project "Performance Analysis for Distributed and Multiobjective Model Predictive Control" GR1569/13-1 Cluster of Excellence in Simulation Technology (SimTech) EXC 310/1
Project financing:	Deutsche Forschungsgemeinschaft

Abstract

In this paper, we analyze economic model predictive control schemes without terminal constraints, where the optimal operating regime is not steady-state operation, but periodic behavior. We first show by means of two counterexamples, that a classical receding horizon control scheme does not necessarily result in an optimal closed-loop performance. Instead, a multi-step MPC scheme may be needed in order to establish near optimal performance of the closed-loop system. This behavior is analyzed in detail, and we derive checkable dissipativity-like conditions in order to obtain closed-loop performance guarantees.

Further data

Item Type:	Preprint, postprint
Additional notes (visible to public):	erschienen in: Proceedings of the 54th IEEE Conference on Decision and Control. - Piscataway, NJ : IEEE , 2015 . - S. 4946-4951 DOI: https://doi.org/10.1109/CDC.2015.7402992
Keywords:	model predictive control; performance estimates; optimal periodic operation; multi-step MPC scheme
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-2139-8
Date Deposited:	29 Jul 2015 05:42
Last Modified:	28 May 2021 08:42
URI:	https://epub.uni-bayreuth.de/id/eprint/2139

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