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Conference Papers Year : 2012

Optimizing the anaerobic digestion of microalgae in a coupled process

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.
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Dates and versions

hal-00754971 , version 1 (13-02-2013)

Identifiers

  • HAL Id : hal-00754971 , version 1
  • PRODINRA : 316455
  • WOS : 000332509701100

Cite

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⟩
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