Title data
Müller, Matthias A. ; Grüne, Lars:
Economic model predictive control without terminal constraints for optimal periodic behavior.
Institute for Systems Theory and Automatic Control, University of Stuttgart; Department of Mathematics, University of Bayreuth
Bayreuth
,
2015
.  14 p.
There is a more recent version of this item available. 
Project information
Project title: 



Project financing: 
Deutsche Forschungsgemeinschaft 
Abstract in another language
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 behavior. 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 show that under suitable dissipativity and controllability conditions, desired closedloop performance guarantees as well as convergence to the optimal periodic orbit can be established.
Further data
Item Type:  Preprint, postprint, working paper, discussion paper 

Keywords:  Economic model predictive control; Optimal periodic operation; Nonlinear systems 
Institutions of the University:  Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics)  Univ.Prof. Dr. Lars Grüne) Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Profile Fields 
Result of work at the UBT:  Yes 
DDC Subjects:  500 Science > 510 Mathematics 
Date Deposited:  10 Jun 2015 14:41 
Last Modified:  10 Jun 2015 14:41 
URI:  https://eref.unibayreuth.de/id/eprint/14930 
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 Economic model predictive control without terminal constraints for optimal periodic behavior. (deposited 10 Jun 2015 14:41) [Currently Displayed]