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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
Bayreuth, Germany , 2015 . - 7 p.

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Official URL: Volltext

Project information

Project title:
Project's official title
Project'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: Preprint, postprint
Additional notes: Accepted for publication at the 5th IFAC Conference on Nonlinear Model Predictive Control (NMPC'15)
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
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 04 May 2015 07:45
Last Modified: 24 Jul 2015 10:30
URI: https://eref.uni-bayreuth.de/id/eprint/11844

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