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.
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 |
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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 |
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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 |