Multiobjective Model Predictive Control of a Parabolic Advection-Diffusion-Reaction Equation

Stefan Banholzer, Giulia Fabrini, Lars Grüne and Stefan Volkwein
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Stefan Banholzer: Department of Mathematics and Statistics, University of Konstanz, D-78457 Konstanz, Germany;
Giulia Fabrini: Department of Mathematics and Statistics, University of Konstanz, D-78457 Konstanz, Germany;
Lars Grüne: Mathematical Institute, University of Bayreuth, D-95440 Bayreuth, Germany
Stefan Volkwein: Department of Mathematics and Statistics, University of Konstanz, D-78457 Konstanz, Germany;

Mathematics, 2020, vol. 8, issue 5, 1-19

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 which are necessary to conduct the theoretical analysis cannot be guaranteed for the studied tests.

Keywords: multiobjectice optimization; multiobjective optimal control; model predictive control; evolution problems; advection-diffusion equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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