Convex optimization of bioprocesses

Joshua Taylor;Alain Rapaort;Denis Dochain
(2022) IEEE Transactions on Automatic Control — Vol. 67, n° 9, p. 4932-4938 (2022)

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Authors
  • Joshua TaylorUniversity of Toronto
    Author
  • Alain RapaortINRAE
    Author
  • Denis DochainUCLouvain
    Author
Abstract
We optimize a general model of bioprocesses, which is nonconvex due to the microbial growth in the biochemical reactors. We formulate a convex relaxation and give conditions guaranteeing its exactness in both the transient and steady state cases. When the growth kinetics are modeled by the Contois or, under constant biomass, Monod or Powell functions, the relaxation is a second-order cone program, which can be solved efficiently at large scales. We implement the model on a numerical example based on a wastewater treatment system.
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Citations

Joshua Taylor, Alain Rapaort, & Denis Dochain. (2022). Convex optimization of bioprocesses. IEEE Transactions on Automatic Control, 67(9), 4932-4938. https://doi.org/10.1109/TAC.2022.3167310 (Original work published 2022)