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.


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Project information
Project title: 
Project's official title Project's id DFGProject "Performance Analysis for Distributed and Multiobjective Model Predictive Control" GR1569/131 Cluster of Excellence in Simulation Technology (SimTech) EXC 310/1 

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 steadystate 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 closedloop performance. Instead, a multistep MPC scheme may be needed in order to establish near optimal performance of the closedloop system. This behavior is analyzed in detail, and we derive checkable dissipativitylike conditions in order to obtain closedloop performance guarantees.