Scheda di dettaglio – i prodotti della ricerca
| Dato | Valore |
|---|---|
| Title | A preliminary model for optimal control of moisture content in unsaturated soils |
| Abstract | In this paper we introduce an optimal control approach to Richards' equation in an irrigation framework, aimed at minimizing water consumption while maximizing root water uptake. We first describe the physics of the nonlinear model under consideration, and then develop the first-order necessary optimality conditions of the associated boundary control problem. We show that our model provides a promising framework to support optimized irrigation strategies, thus facing water scarcity in irrigation. The characterization of the optimal control in terms of a suitable relation with the adjoint state of the optimality conditions is then used to develop numerical simulations on different hydrological settings, that support the analytical findings of the paper. |
| Source | Computational geosciences (Dordr., Online) |
| Keywords | Richards' equation · Optimal control in agriculture · Direct-dual optimality system · Optimal control of boundary conditions · Modeling and control in soil systems |
| Journal | Computational geosciences (Dordr., Online) |
| Editor | Kluwer, Dordrecht, Paesi Bassi |
| Year | 2023 |
| Type | Articolo in rivista |
| DOI | 10.1007/s10596-023-10250-1 |
| Authors | Marco Berardi, Fabio V. Difonzo, Roberto Guglielmi |
| Text | 488323 2023 10.1007/s10596 023 10250 1 Richards equation · Optimal control in agriculture · Direct dual optimality system · Optimal control of boundary conditions · Modeling and control in soil systems A preliminary model for optimal control of moisture content in unsaturated soils Marco Berardi, Fabio V. Difonzo, Roberto Guglielmi Consiglio Nazionale delle Ricerche, Istituto di Ricerca sulle Acque Universita degli studi di Bari, Dipartimento di Matematica Department of Applied Mathematics, University of Waterloo, Canada In this paper we introduce an optimal control approach to Richards equation in an irrigation framework, aimed at minimizing water consumption while maximizing root water uptake. We first describe the physics of the nonlinear model under consideration, and then develop the first order necessary optimality conditions of the associated boundary control problem. We show that our model provides a promising framework to support optimized irrigation strategies, thus facing water scarcity in irrigation. The characterization of the optimal control in terms of a suitable relation with the adjoint state of the optimality conditions is then used to develop numerical simulations on different hydrological settings, that support the analytical findings of the paper. Published version Berardi_et_al_COMG_2023 Berardi_et_al_COMG_2023.pdf Articolo in rivista Kluwer 1573 1499 Computational geosciences Dordr., Online Computational geosciences Dordr., Online Comput. geosci Dordr., Online Computational geosciences. Dordr., Online Computational geosciences Bussum Dordr., Online Computational geosciences Dordrecht Dordr., Online marco.berardi BERARDI MARCO |