## Title data

Banholzer, Stefan ; Fabrini, Giulia ; Grüne, Lars ; Volkwein, Stefan:

**Multiobjective model predictive control of a parabolic advection-diffusion-reaction equation.**

*In:* Mathematics.
Vol. 8
(2020)
Issue 5
.
- 777.

ISSN 2227-7390

DOI: https://doi.org/10.3390/math8050777

## Project information

Project title: |
Project's official title Project's id Economic model predictive control and time varying systems GR 1569/16-1 |
---|---|

Project financing: |
Deutsche Forschungsgemeinschaft |

## Abstract in another language

In the present paper, a multiobjective optimal control problem governed by a linear parabolic advection-diffusion-reaction equation is considered. The optimal controls are computed by applying model predictive control (MPC), which is a method for controlling dynamical systems over long or infinite time horizons by successively computing optimal controls over a moving finite time horizon. Numerical experiments illustrate that the proposed solution approach can be successfully applied although some of the assumptions which are necessary to conduct the theoretical analysis cannot be guaranteed for the studied tests.