Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

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

Title data

Banholzer, Stefan ; Fabrini, Giulia ; Grüne, Lars ; Volkwein, Stefan:
Multiobjective model predictive control of a parabolic advection-diffusion-reaction equation.
In: Mathematics. Vol. 8 (12 May 2020) Issue 5 . - 19 S..
ISSN 2227-7390
DOI: https://doi.org/10.3390/math8050777

Project information

Project title:
Project's official titleProject's id
Economic model predictive control and time varying systemsGR 1569/16-1

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

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.

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: Special Issue on Recent Trends in Multiobjective Optimization and Optimal Control
Keywords: multiobjectice optimization; multiobjective optimal control; model predictive control; evolution problems; advection-diffusion equations
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics > Chair Applied Mathematics - Univ.-Prof. Dr. Anton Schiela
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Profile Fields
Profile Fields > Advanced Fields
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 13 May 2020 07:18
Last Modified: 13 May 2020 07:18
URI: https://eref.uni-bayreuth.de/id/eprint/55152