Title data
Müller, Matthias A. ; Grüne, Lars:
Economic model predictive control without terminal constraints for optimal periodic behavior.
In: Automatica.
Vol. 70
(2016)
.
 pp. 128139.
ISSN 18732836
DOI: https://doi.org/10.1016/j.automatica.2016.03.024
This is the latest version of this item.
Project information
Project title: 
Project's official title Project's id DFGProject "Performance Analysis for Distributed and Multiobjective Model Predictive Control" GR1569/131 

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:  Article in a journal 

Refereed:  Yes 
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:  02 Jun 2016 07:09 
Last Modified:  08 Nov 2023 12:28 
URI:  https://eref.unibayreuth.de/id/eprint/32506 
Available Versions of this Item

Economic model predictive control without terminal constraints for optimal periodic behavior. (deposited 10 Jun 2015 14:41)
 Economic model predictive control without terminal constraints for optimal periodic behavior. (deposited 02 Jun 2016 07:09) [Currently Displayed]