Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

Parallelized POD-based Suboptimal Economic Model Predictive Control of a State-Constrained Boussinesq approximation

Title data

Andrej, Julian ; Grüne, Lars ; Mechelli, Luca ; Meurer, Thomas ; Pirkelmann, Simon ; Volkwein, Stefan:
Parallelized POD-based Suboptimal Economic Model Predictive Control of a State-Constrained Boussinesq approximation.
Bayreuth ; Kiel ; Konstanz , 2020 . - 26 p.

Official URL: Volltext

Related URLs

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
Model predictive PDE control for energy efficient building operation: flatness-based MPC and observer design for PDE systemsME 3231/3-1

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

Motivated by an energy efficient building application, we want to optimize a quadratic cost functional subject to the Boussinesq approximation of the Navier-Stokes equations and to bilateral state and control constraints. Since the computation of such an optimal solution is numerically costly, we design an efficient strategy to compute a sub-optimal (but applicationally acceptable) solution with significantly reduced computational effort. We employ an economic Model Predictive Control (MPC) strategy to obtain a feedback control. The MPC sub-problems are based on a linear-quadratic optimal control problem subjected to mixed control and state constraints and a convection-diffusion equation, reduced with proper orthogonal decomposition. To solve each sub-problem, we apply a primal-dual active set strategy. The method can be fully parallelized, which enables the solution of large problems with real-world parameters.

Further data

Item Type: Preprint, postprint
Keywords: Boussinesq approximation; Model predictive control; State constraints; Proper orthogonal decomposition; Parallel computing
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: 13 Jan 2021 14:01
Last Modified: 13 Jan 2021 14:01
URI: https://eref.uni-bayreuth.de/id/eprint/61769