Optimal control of a crop irrigation model under water scarcity

Autor: Carole Sinfort, Kenza Boumaza, Nesrine Kalboussi, Alain Rapaport, Sebastien Roux
Přispěvatelé: Rapaport, Alain, Institut Convergences en Agriculture Numérique - - DIGITAG2016 - ANR-16-CONV-0004 - CONV - VALID, Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie (MISTEA), Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro), Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), Université de Carthage - University of Carthage, Information – Technologies – Analyse Environnementale – Procédés Agricoles (UMR ITAP), Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro), Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), ANR-16-CONV-0004,DIGITAG,Institut Convergences en Agriculture Numérique(2016), Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro), laboratoire de traitement des eaux naturelles (LabTEN), Centre de Recherche et Technologies des Eaux (CERTE), AVERROES PhD Grant, Euro-mediterranean TREASURE network (Treatment and Sustainable Reuse of Effluents in semi-arid climates), ANR-18-IC4W-0002,Control4Reuse,Technologies de contrôle de processus pour les géants de l'eau(2018)
Jazyk: angličtina
Rok vydání: 2020
Předmět:
0209 industrial biotechnology
Irrigation
Control and Optimization
media_common.quotation_subject
0208 environmental biotechnology
[SDV.SA.AGRO]Life Sciences [q-bio]/Agricultural sciences/Agronomy
Context (language use)
02 engineering and technology
Agricultural engineering
Dynamical system
Scarcity
optimal control
020901 industrial engineering & automation
Control theory
water management
Production (economics)
feedback synthesis
Mathematics
media_common
[SDV.SA.AGRO] Life Sciences [q-bio]/Agricultural sciences/Agronomy
singular arcs
Applied Mathematics
Irrigation scheduling
[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]
Optimal control
020801 environmental engineering
Control and Systems Engineering
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
Software
crop irrigation
Zdroj: Optimal Control Applications and Methods
Optimal Control Applications and Methods, Wiley, 2021, 42 (6), pp.1612-1631. ⟨10.1002/oca.2749⟩
ISSN: 0143-2087
1099-1514
DOI: 10.1002/oca.2749⟩
Popis: International audience; We consider a simple crop irrigation model and study the optimal control which consists of maximizing the biomass production at harvesting time. A specificity of this work is to impose a quota on the water used for irrigation, in a context of limited resources. The model is written as a 2d non-autonomous dynamical system with a state constraint, and a non-smooth right member given by threshold-based soil and crop water stress functions. We show that when the water quota is below the threshold giving the largest possible production, the optimal strategy consists of irrigating once. We then show that the optimal solution can have one or several singular arcs, and therefore be better than simple bang-bang controls, as commonly used. The gains over the best bang-bang controls are illustrated on numerical simulations. These new feedback controls that we obtain are a promising first step towards the concrete application of control theory to the problem of optimal irrigation scheduling under water scarcity.
Databáze: OpenAIRE
Externí odkaz: