Title data
Grüne, Lars ; Mechelli, Luca ; Pirkelmann, Simon ; Volkwein, Stefan:
Performance estimates for economic model predictive control and their application in proper orthogonal decompositionbased implementations.
In: Mathematical Control and Related Fields.
Vol. 11
(September 2021)
Issue 3
.
 pp. 579599.
ISSN 21568472
DOI: https://doi.org/10.3934/mcrf.2021013
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Project information
Project title: 
Project's official title Project's id Model predictive PDE control for energy efficient building operation: economic model predictive control and timevarying systems GR 1569/161 Model predictive PDE control for energy efficient building operation: reduced order methods for nonlinear model predictive control VO 1658/41 

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 online while the controller is running. The advantages of our approach are demonstrated by simulations involving a convectiondiffusionsystem. 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.
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Performance estimates for economic model predictive control and their application in proper orthogonal decompositionbased implementations. (deposited 20 May 2019 12:37)
 Performance estimates for economic model predictive control and their application in proper orthogonal decompositionbased implementations. (deposited 08 Mar 2021 14:07) [Currently Displayed]