Convex Optimization of Bioprocesses

• 成果类型: Article
• 署名作者: Taylor, Josh A.; Rapaport, Alain; Dochain, Denis
• 署名单位: University of Toronto; INRAE; Institut Agro; Universite de Montpellier; Universite Catholique Louvain
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3167310
• 发表日期: 2022
• 页码: 4932-4938
• 关键词: Substrates; biomass; Kinetic theory; transient analysis; trajectory; steady-state; media; Bioprocess; compartmental system; convex relaxation; second-order cone programming (SOCP); wastewater treatment

摘要

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.