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Zanon, Mario ; Grüne, Lars ; Diehl, Moritz:
Periodic optimal control, dissipativity and MPC.
In: IEEE Transactions on Automatic Control.
Bd. 62
(2017)
Heft 6
.
- S. 2943-2949.
ISSN 1558-2523
DOI: https://doi.org/10.1109/TAC.2016.2601881
Dies ist die aktuelle Version des Eintrags.
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Angaben zu Projekten
| Projekttitel: |
Offizieller Projekttitel Projekt-ID OPTEC - Optimization in Engineering Center Ohne Angabe MaNet - Metric Analysis for Emergent Technologies Ohne Angabe Global real-time optimal control of autonomous robots and mechatronic systems GOA/10/11 DYSCO - Dynamical systems, control and optimization IUAP P7 HIGHWIND - Simulation, Optimization and Control of High-Altitude Wind Power Generators 259 166 |
|---|---|
| Projektfinanzierung: |
Research Council K.U. Leuven (RC KUL) Belgian Federal Science Policy Office (BELSPO) European Research Council (ERC) 7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union Flemish Government, Research Foundation - Flanders (FWO) |
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.
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Periodic optimal control, dissipativity and MPC. (deposited 25 Apr 2015 21:00)
- Periodic optimal control, dissipativity and MPC. (deposited 16 Sep 2016 07:34) [Aktuelle Anzeige]