Optimal control of advection-diffusion problems for cropping systems in polluted soils

Loïc Louison; Abdennebi Omrane

doi:10.2478/candc-2021-0013

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Optimal control of advection-diffusion problems for cropping systems in polluted soils

Control and Cybernetics

Volume 50 (2021): Issue 2 (June 2021)

By: Loïc Louison and Abdennebi Omrane

Open Access

|Jun 2022

Abstract

The article studies the nutrient transfer mechanism for cropping systems in polluted soils from a mathematical and optimal control point of view. The problem under consideration is governed by an advection-diffusion PDE in a bounded domain.

The existence of a solution is obtained. We also determine the optimal amount of required nutrients at the root surface for plants where the soil is polluted by an unknown source. The characterization of the optimal control by a singular optimality system is obtained.

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Articles in this issue

DOI: https://doi.org/10.2478/candc-2021-0013 | Journal eISSN: 2720-4278 | Journal ISSN: 0324-8569

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Language: English

Page range: 253 - 268

Submitted on: Jul 1, 2020

Accepted on: Feb 1, 2021

Published on: Jun 28, 2022

Published by: Systems Research Institute Polish Academy of Sciences

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

nutrient uptake,

polluted soils,

Nye-Tinker-Barber (NTB) model,

advection-diffusion system,

low-regret optimal control,

singular optimality system (SOS)

Related subjects:

Computer sciences,

Computer sciences, other,

Engineering,

Electrical engineering,

Fundamentals of electrical engineering,

Mechanical engineering,

Fundamentals of mechanical engineering,

Mathematics,

General mathematics

© 2022 Loïc Louison, Abdennebi Omrane, published by Systems Research Institute Polish Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 50 (2021): Issue 2 (June 2021)