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On the role of dissipativity in economic model predictive control

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; Institute for Systems Theory and Automatic Control, University of Stuttgart
In: IFAC-PapersOnLine. (2015) Issue 23 . - pp. 110-116.
ISSN 2405-8963
DOI: https://doi.org/10.1016/j.ifacol.2015.11.269

This is the latest version of this item.

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 another language

In this paper, we examine and discuss the role of dissipativity in economic model predictive control (MPC). 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: Article in a journal
Refereed: Yes
Additional notes: 5th IFAC Conference on Nonlinear Model Predictive Control NMPC 2015 — Seville, Spain, 17–20 September 2015
Keywords: economic model predictive control; dissipativity; optimal steady-state operation; optimal periodic operation
Institutions of the University: 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 > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Profile Fields
Profile Fields > Advanced Fields
Research Institutions > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS)
Research Institutions
Research Institutions > Research Centres
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 28 Oct 2015 09:39
Last Modified: 01 Oct 2018 10:21
URI: https://eref.uni-bayreuth.de/id/eprint/20840

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