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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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| Projekttitel: |
Offizieller Projekttitel Projekt-ID FP7-ITN SADCO MC ITN-264735 FP7-ITN TEMPO MC 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 grants Ohne Angabe IWT PhD Grants, IWT project "Eurostars SMART" Ohne Angabe BELSPO Interuniversity Attraction Poles Programme (IUAP) P7 "Dynamical systems, control and optimization" (DYSCO) IUAP P7 |
|---|---|
| Projektfinanzierung: |
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
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]