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Optimal control for micro‐algae on a raceway model
Author(s) -
Hurst Todd,
Rehbock Volker
Publication year - 2017
Publication title -
biotechnology progress
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.572
H-Index - 129
eISSN - 1520-6033
pISSN - 8756-7938
DOI - 10.1002/btpr.2532
Subject(s) - raceway , robustness (evolution) , control variable , algae , variable (mathematics) , optimal control , inflow , control theory (sociology) , biological system , ordinary differential equation , computer science , environmental science , mathematics , biochemical engineering , mathematical optimization , differential equation , ecology , control (management) , engineering , biology , statistics , mechanics , mechanical engineering , physics , mathematical analysis , biochemistry , artificial intelligence , gene , lubrication
We apply numerical optimal control methods to an existing algae growth model with the aim to determine the best performance of the model under known conditions using a variety of decision variables. We transform the system of differential algebraic equations in the existing model to a system of ordinary differential equations which introduces dynamics for average light intensity and chlorophyll. In addition, we allow for variable nitrogen concentration of the inflow as well as variable initial nitrogen concentration of the raceway. Our main focus is on optimizing of the production of lipids. We calculate both open and closed loop optimal controllers and test their robustness. Finally, we also consider raceway depth as a decision variable. © 2017 American Institute of Chemical Engineers Biotechnol. Prog. , 34:107–119, 2018