Abstract : This work is devoted to maximizing the production of methane in a bioreactor coupling an anaerobic digester and a culture of micro-algae limited by light. The decision parameter is the dilution rate which is chosen as a control, and we enforce periodic constraints in order to repeat the same operation every day. The system is gathered into a three-dimensional system taking into account a day-night model of the light in the culture of micro-algae. Applying Pontryagin maximum principle, the necessary conditions on optimal trajectories indicate that the control consists of bang and/or singular arcs. We provide numerical simulations by both direct and indirect methods, which show the link between the light model and the structure of optimal solutions.
https://hal.inria.fr/hal-00754971
Contributor : Pierre Martinon
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Submitted on : Wednesday, February 13, 2013 - 3:46:41 PM
Last modification on : Wednesday, March 27, 2019 - 4:08:31 PM
Long-term archiving on : Tuesday, May 14, 2013 - 4:00:37 AM
Térence Bayen, Francis Mairet, Pierre Martinon, Matthieu Sebbah. Optimizing the anaerobic digestion of microalgae in a coupled process. 13th European Control Conference, Jul 2013, Zurich, Switzerland. pp.6. ⟨hal-00754971⟩
