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Title data
Zanon, Mario ; Grüne, Lars ; Diehl, Moritz:
Periodic optimal control, dissipativity and MPC.
Department of Microsystems Engineering IMTEK, University of Freiburg, Department of Mathematics, University of Bayreuth, ESAT / OPTEC, KU Leuven
Bayreuth, Germany
,
2015
. - 6 S.
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Project information
| Project title: |
Project's official title Project's 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 No information IWT PhD Grants, IWT project "Eurostars SMART" No information BELSPO Interuniversity Attraction Poles Programme (IUAP) P7 "Dynamical systems, control and optimization" (DYSCO) IUAP P7 |
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| Project financing: |
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.