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 p.
There is a more recent version of this item available. 
Project information
Project title: 



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 in another language
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 Pperiodic 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.
Further data
Item Type:  Preprint, postprint, working paper, discussion paper 

Keywords:  periodic economic model predictive control; strict dissipativity 
Institutions of the University:  Faculties 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) 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 Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics 
Result of work at the UBT:  Yes 
DDC Subjects:  500 Science > 510 Mathematics 
Date Deposited:  25 Apr 2015 21:00 
Last Modified:  27 Apr 2015 09:14 
URI:  https://eref.unibayreuth.de/id/eprint/11523 
Available Versions of this Item
 Periodic optimal control, dissipativity and MPC. (deposited 25 Apr 2015 21:00) [Currently Displayed]