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

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

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 t...

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Bibliographic Details
Main Authors: Stefan Banholzer, Giulia Fabrini, Lars Grüne, Stefan Volkwein
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Mathematics
Subjects:
multiobjectice optimization
multiobjective optimal control
model predictive control
evolution problems
advection-diffusion equations
Online Access:https://www.mdpi.com/2227-7390/8/5/777
Description
Summary: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.
ISSN:2227-7390

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