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An optimal control methodology for plant growth. Case study of a water supply problem of sunflower

Wu Lin, Le Dimet François-Xavier, De Reffye Philippe, Hu Bao-Gang, Cournède Paul-Henry, Kang Meng Zhen. 2012. An optimal control methodology for plant growth. Case study of a water supply problem of sunflower. Mathematics and Computers in Simulation, 82 (5) : pp. 909-923.

Journal article ; Article de revue à facteur d'impact
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Quartile : Q2, Sujet : MATHEMATICS, APPLIED / Quartile : Q3, Sujet : COMPUTER SCIENCE, SOFTWARE ENGINEERING / Quartile : Q3, Sujet : COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Abstract : An optimal control methodology is proposed for plant growth. This methodology is demonstrated by solving a water supply problem for optimal sunflower fruit filling. The functional-structural sunflower growth is described by a dynamical system given soil water conditions. Numerical solutions are obtained through an iterative optimization procedure, in which the gradients of the objective function, i.e. the sunflower fruit weight, are calculated efficiently either with adjoint modeling or by differentiation algorithms. Further improvements in sunflower yield have been found compared to those obtained using genetic algorithms in our previous studies. The optimal water supplies adapt to the fruit filling. For instance, during the mid-season growth, the supply frequency condenses and the supply amplitude peaks. By contrast, much less supplies are needed during the early and ending growth stages. The supply frequency is a determining factor, whereas the sunflower growth is less sensitive to the time and amount of one specific irrigation. These optimization results agree with common qualitative agronomic practices. Moreover they provide more precise quantitative control for sunflower growth. (Résumé d'auteur)

Mots-clés Agrovoc : Helianthus annuus, Croissance, rendement, Irrigation, Eau du sol, Modèle mathématique

Classification Agris : F61 - Plant physiology - Nutrition
F62 - Plant physiology - Growth and development
F06 - Irrigation
U10 - Computer science, mathematics and statistics

Champ stratégique Cirad : Axe 1 (2005-2013) - Intensification écologique

Auteurs et affiliations

  • Wu Lin, UPEC (FRA)
  • Le Dimet François-Xavier, Université Joseph Fourier (FRA)
  • De Reffye Philippe, CIRAD-BIOS-UMR AMAP (FRA)
  • Hu Bao-Gang, Institut d'automatique (CHN)
  • Cournède Paul-Henry, Ecole centrale Paris (FRA)
  • Kang Meng Zhen, Institute of Automation (CHN)

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Source : Cirad - Agritrop (https://agritrop.cirad.fr/563077/)

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