Common structures of optimal solutions for a crop irrigation problem under various constraints and criteria *
Year: 2024
Type: conference-paper
Abstract: We consider a simplified crop irrigation model written as a non-autonomous, non-smooth controlled system. Different operating contexts and objectives lead to the study of optimal control problems with various state constraints, criterion and targets. We look for feedback solutions and we derive the optimality necessary conditions for the unified formulation. We show that there are only two parametrized time-varying feedback strategies consisting of the best and the worst practices, independent of the chosen objective, and suitable for numerical analysis.
Authors: Ruben Chenevat, Bruno Cheviron, Sébastien Roux, Alain Rapaport
Institutions: Université de Montpellier, Institut National de Recherche pour l'Agriculture, l'Alimentation et l'Environnement, Mathématiques, Informatique et Statistique pour l'Environnement et l'Agronomie, Centre de Coopération Internationale en Recherche Agronomique pour le Développement, Gestion de l'Eau, Acteurs, Usages, Institut de Recherche pour le Développement
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
SDG: Zero hunger
Open Access status: green
Funders: Agence Nationale de la Recherche, Labex
OpenAlex ID: W4399596446