Dynamical modelling and optimal control of landfills - INRAE - Institut national de recherche pour l’agriculture, l’alimentation et l’environnement Access content directly
Journal Articles Mathematical Models and Methods in Applied Sciences Year : 2016

Dynamical modelling and optimal control of landfills

Abstract

We propose a simple model of landfill and study a minimal time control problem where the re-circulation leachate is the manipulated variable. We propose a scheme to construct the optimal strategy by dividing the state space into three subsets $\mathcal{E}_0$, $\mathcal{Z}_{1}$ and the complementary. On $\mathcal{E}_0$ and $\mathcal{Z}_{1}$, the optimal control is constant until reaching target, while it can exhibit a singular arc outside these two subsets. Moreover, the singular arc could have a {\em barrier}. In this case, we prove the existence of a switching curve that passes through a point of {\em prior saturation} under the assumption that the set $\mathcal{E}_0$ intersects the singular arc. Numerical computations allow then to determine the switching curve and depict the optimal synthesis.
Fichier principal
Vignette du fichier
Publis15-mistea-028_rapaport_dynamical_1.pdf (370.11 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01087946 , version 1 (27-11-2014)
hal-01087946 , version 2 (27-05-2020)

Identifiers

Cite

Alain Rapaport, Térence Bayen, Matthieu Sebbah, Andres Donoso-Bravo, Alfredo Torrico. Dynamical modelling and optimal control of landfills. Mathematical Models and Methods in Applied Sciences, 2016, 26 (5), pp.901-929. ⟨10.1142/S0218202516500214⟩. ⟨hal-01087946v2⟩
1068 View
267 Download

Altmetric

Share

Gmail Facebook X LinkedIn More