Title data
Banholzer, Stefan ; Fabrini, Giulia ; Grüne, Lars ; Volkwein, Stefan:
Multiobjective model predictive control of a parabolic advectiondiffusionreaction equation.
In: Mathematics.
Vol. 8
(12 May 2020)
Issue 5
.
 19 S..
ISSN 22277390
DOI: https://doi.org/10.3390/math8050777
Project information
Project title: 



Project financing: 
Deutsche Forschungsgemeinschaft 
Abstract in another language
In the present paper, a multiobjective optimal control problem governed by a linear parabolic advectiondiffusionreaction 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.