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Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations

Title data

Grüne, Lars ; Mechelli, Luca ; Pirkelmann, Simon ; Volkwein, Stefan:
Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations.
In: Mathematical Control and Related Fields. (March 2021) . - pp. 1-21.
ISSN 2156-8472
DOI: https://doi.org/10.3934/mcrf.2021013

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Project information

Project title:
Project's official titleProject's id
Model predictive PDE control for energy efficient building operation: economic model predictive control and time-varying systemsGR 1569/16-1
Model predictive PDE control for energy efficient building operation: reduced order methods for nonlinear model predictive controlVO 1658/4-1

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

In this paper performance indices for economic model predictivecontrollers (MPC) are considered. Since existing relative performance measures, designed for stabilizing controllers, fail in the economic setting, we propose alternative absolute quantities. We show that these can be applied to assess the performance of the closed loop trajectories on-line while the controller is running. The advantages of our approach are demonstrated by simulations involving a convection-diffusion-system. The method is also combined with proper orthogonal decomposition, thus demonstrating the possibility for both efficient and performant MPC for systems governed by partial differential equations.

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: Online First.
Major parts of this work were conducted during a visit of L. Mechelli at the University of Bayreuth, Germany.
Keywords: Economic model predictive control; proper orthogonal decomposition
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
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
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: 08 Mar 2021 14:07
Last Modified: 08 Mar 2021 14:07
URI: https://eref.uni-bayreuth.de/id/eprint/63756

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