Optimal structures of crop irrigation strategies with state constraints

Ruben Chenevat (), Bruno Cheviron (), Sébastien Roux () and Alain Rapaport ()
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Ruben Chenevat: Univ Montpellier, INRAE, Institut Agro
Bruno Cheviron: G-EAU, Univ Montpellier, AgroParisTech, BRGM, CIRAD, INRAE, Institut Agro, IRD
Sébastien Roux: Univ Montpellier, INRAE, Institut Agro
Alain Rapaport: Univ Montpellier, INRAE, Institut Agro

Journal of Optimization Theory and Applications, 2026, vol. 208, issue 1, No 18, 29 pages

Abstract: Abstract We investigate an optimal control problem of crop irrigation with non-autonomous and non-smooth dynamics. Depending on contexts and objectives, several formulations associated to different constraints and criteria can be derived. Our work aims at providing optimal feedback solutions for these problems by deriving and analyzing the optimality necessary conditions. To this end, we assemble the different problems into a common formulation, and we carry out a dedicated way of handling state constraints. We show that all optimal irrigation strategies belong to a family of simple parameterized time-varying feedback controls, independently of the context and objective, and suitable for computational purposes.

Keywords: Optimal control; Crop irrigation; Modelling; State constraints; Feedback; Non-smooth dynamics; 49K15; 49J52; 49N35 (search for similar items in EconPapers)
Date: 2026
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DOI: 10.1007/s10957-025-02854-7

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