Analysis and optimization of a simple crop irrigation model

Abstract : 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.
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Submitted on : Wednesday, January 23, 2019 - 5:42:09 PM
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Nesrine Kalboussi, Sébastien Roux, Kenza Boumaza, Carole Sinfort, Alain Rapaport. Analysis and optimization of a simple crop irrigation model. 2019. ⟨hal-01991296⟩

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