Optimization of microalgae biosynthesis via controlled algal-bacterial symbiosis - Inria - Institut national de recherche en sciences et technologies du numérique
Conference Papers Year : 2024

Optimization of microalgae biosynthesis via controlled algal-bacterial symbiosis

Abstract

We investigate optimization of an algal-bacterial consortium, where an exogenous control input modulates bacterial resource allocation between growth and synthesis of a resource that is limiting for algal growth. Maximization of algal biomass synthesis is pursued in a continuous bioreactor, with dilution rate as an additional control variable. We formulate optimal control in the two variants of static and dynamic control problems, and address them by theoretical and numerical tools. We explore convexity of the static problem and uniqueness of its solution, and show that the dynamic problem displays a solution with bang-bang control actions and singular arcs that result in cyclic control actions. We finally discuss the relation among the two solutions and show the extent to which dynamic control can outperform static optimal solutions.
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hal-04727571 , version 1 (10-10-2024)

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Rand Asswad, Walid Djema, Olivier Bernard, Jean-Luc Gouzé, Eugenio Cinquemani. Optimization of microalgae biosynthesis via controlled algal-bacterial symbiosis. CDC 2024 - 63rd IEEE Conference on Decision and Control, IEEE CSS, Dec 2024, Milan, Italy. pp.1-6. ⟨hal-04727571⟩
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