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On the role of dissipativity in economic model predictive control

URN to cite this document: urn:nbn:de:bvb:703-epub-2091-2

Title data

Müller, Matthias A. ; Grüne, Lars ; Allgöwer, Frank:
On the role of dissipativity in economic model predictive control.
Institute for Systems Theory and Automatic Control, University of Stuttgart, Department of Mathematics, University of Bayreuth
Bayreuth, Germany , 2015 . - 7 S.

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Project information

Project title:
Project's official titleProject's id
DFG-Project "Performance Analysis for Distributed and Multiobjective Model Predictive Control"GR1569/13-1

Project financing: Deutsche Forschungsgemeinschaft

Abstract

In this paper, we examine and discuss the role of dissipativity in economic model predictive control. We review some recent results relating dissipativity with the concept of optimal steady-state operation, and we show that strict dissipativity is necessary and sufficient for a slightly stronger property than optimal steady-state operation. We discuss the importance of this result for giving closed-loop performance guarantees in economic MPC. Furthermore, we present extensions for the case of optimal periodic operation.

Further data

Item Type: Preprint, postprint
Keywords: economic model predictive control; dissipativity; optimal steady-state operation; optimal periodic operation
DDC Subjects: 500 Science > 510 Mathematics
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
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-2091-2
Date Deposited: 10 Jul 2015 08:42
Last Modified: 28 Mar 2019 15:12
URI: https://epub.uni-bayreuth.de/id/eprint/2091

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