Minimal water consumption for a crop fertirrigation model - Département MathNum Access content directly
Conference Papers Year : 2024

Minimal water consumption for a crop fertirrigation model

Abstract

In this work, we consider a simplified model of crop fertirrigation as a non-autonomous controlled system, with soil moisture, nitrogen content, and biomass as state variables and the delivered water flow rate as input. We study the problem of minimizing the total water quantity delivered during the agricultural season under the constraints that the crops are not suffering from water or nitrogen stress at any time. We establish sufficient conditions for the feasibility of the problem and depict several control strategies depending on the initial nitrogen content. In particular, we show that this problem can exhibit an infinity of singular trajectories of the same cost.
Fichier principal
Vignette du fichier
ECC_paper.pdf (461.53 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-04520401 , version 1 (25-03-2024)

Identifiers

  • HAL Id : hal-04520401 , version 1

Cite

Mahugnon Dadjo, Alain Rapaport, Jérôme Harmand, Rosane Ushirobira, Denis Efimov. Minimal water consumption for a crop fertirrigation model. European Control Conference (ECC24), European Control Association, Jun 2024, Stockholm, Sweden. ⟨hal-04520401⟩
58 View
12 Download

Share

Gmail Mastodon Facebook X LinkedIn More