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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 SADCO - Sensitivity Analysis for Deterministic Controller Design 264735 TEMPO - Training in Embedded Predictive Control and Optimization 607957 HIGHWIND - Simulation, Optimization and Control of High-Altitude Wind Power Generators 259 166 MaNet : Mathematatical engineering tools for Networks : Data driven mining, identification, control and optimization No information Global real-time optimal control of autonomous robots and mechatronic systems No information Eurostars SMART No information DYSCO - Dynamical systems, control, and optimization No information |
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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.
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