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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/5/777 |
| _version_ | 1797568176391716864 |
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| author | Stefan Banholzer Giulia Fabrini Lars Grüne Stefan Volkwein |
| author_facet | Stefan Banholzer Giulia Fabrini Lars Grüne Stefan Volkwein |
| author_sort | Stefan Banholzer |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T19:52:43Z |
| format | Article |
| id | doaj.art-8f1841e2e8b9433593433a63a7b4b1c9 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T19:52:43Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-8f1841e2e8b9433593433a63a7b4b1c92023-11-20T00:12:18ZengMDPI AGMathematics2227-73902020-05-018577710.3390/math8050777Multiobjective Model Predictive Control of a Parabolic Advection-Diffusion-Reaction EquationStefan Banholzer0Giulia Fabrini1Lars Grüne2Stefan Volkwein3Department of Mathematics and Statistics, University of Konstanz, D-78457 Konstanz, Germany;Department of Mathematics and Statistics, University of Konstanz, D-78457 Konstanz, Germany;Mathematical Institute, University of Bayreuth, D-95440 Bayreuth, GermanyDepartment of Mathematics and Statistics, University of Konstanz, D-78457 Konstanz, Germany;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.https://www.mdpi.com/2227-7390/8/5/777multiobjectice optimizationmultiobjective optimal controlmodel predictive controlevolution problemsadvection-diffusion equations |
| spellingShingle | Stefan Banholzer Giulia Fabrini Lars Grüne Stefan Volkwein Multiobjective Model Predictive Control of a Parabolic Advection-Diffusion-Reaction Equation Mathematics multiobjectice optimization multiobjective optimal control model predictive control evolution problems advection-diffusion equations |
| title | Multiobjective Model Predictive Control of a Parabolic Advection-Diffusion-Reaction Equation |
| title_full | Multiobjective Model Predictive Control of a Parabolic Advection-Diffusion-Reaction Equation |
| title_fullStr | Multiobjective Model Predictive Control of a Parabolic Advection-Diffusion-Reaction Equation |
| title_full_unstemmed | Multiobjective Model Predictive Control of a Parabolic Advection-Diffusion-Reaction Equation |
| title_short | Multiobjective Model Predictive Control of a Parabolic Advection-Diffusion-Reaction Equation |
| title_sort | multiobjective model predictive control of a parabolic advection diffusion reaction equation |
| topic | multiobjectice optimization multiobjective optimal control model predictive control evolution problems advection-diffusion equations |
| url | https://www.mdpi.com/2227-7390/8/5/777 |
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