We propose a new simplified crop irrigation model and study the optimal control which consists in maximizing the biomass production at harvesting time, under a constraint on the total amount of water used. Under water scarcity, we show that the optimal strategy could have a singular arc and therefore can be better than a simple bang-bang control as commonly used. The gain is illustrated on numerical simulations. This result is a promising rst step towards the application of control theory to the problem of optimal irrigation scheduling.
Publié le : 2019-01-23
Classification:
crop irrigation,
water management,
optimal control,
state constraint,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC],
[SDV.SA.AGRO]Life Sciences [q-bio]/Agricultural sciences/Agronomy
@article{hal-01991296,
author = {Kalboussi, Nesrine and Roux, S\'ebastien and Boumaza, Kenza and Sinfort, Carole and Rapaport, Alain},
title = {Analysis and optimization of a simple crop irrigation model},
journal = {HAL},
volume = {2019},
number = {0},
year = {2019},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01991296}
}
Kalboussi, Nesrine; Roux, Sébastien; Boumaza, Kenza; Sinfort, Carole; Rapaport, Alain. Analysis and optimization of a simple crop irrigation model. HAL, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/hal-01991296/