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

2020
Journal article
Published
##### Published in
Mathematics ; 8 (2020), 5. - 777. - MDPI AG. - eISSN 2227-7390
##### Abstract
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 made in [1,2] can not be guaranteed for the studied tests.
510 Mathematics
##### Keywords
multiobjectice optimization; multiobjective optimal control; model predictive control; evolution problems; advection-diffusion equations
##### Cite This
ISO 690BANHOLZER, Stefan, Giulia FABRINI, Lars GRÜNE, Stefan VOLKWEIN, 2020. Multiobjective model predictive control of a parabolic advection-diffusion-reaction equation. In: Mathematics. MDPI AG. 8(5), 777. eISSN 2227-7390. Available under: doi: 10.3390/math8050777
BibTex
@article{Banholzer2020Multi-49272.2,
year={2020},
doi={10.3390/math8050777},
title={Multiobjective model predictive control of a parabolic advection-diffusion-reaction equation},
number={5},
volume={8},
journal={Mathematics},
author={Banholzer, Stefan and Fabrini, Giulia and Grüne, Lars and Volkwein, Stefan},
note={Article Number: 777}
}

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