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Optimization and control of a fedbatch fermentation process
Author(s) -
Queinnec I.,
Dahhou B.
Publication year - 1994
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660150303
Subject(s) - mathematical optimization , optimal control , dynamic programming , transformation (genetics) , bellman equation , process (computing) , global optimization , optimization problem , mathematics , function (biology) , value (mathematics) , sampling (signal processing) , computer science , biochemistry , chemistry , evolutionary biology , biology , gene , operating system , statistics , filter (signal processing) , computer vision
This paper describes the optimization problem of a fedbatch fermentation process for alcohol production which initially consists of minimizing a time‐optimal global criterion. Dynamic programming methods have previously allowed one to solve this global optimization problem and to deduce a local criterion to be maximized at each sampling step by using non‐linear programming techniques. It is then stated that under a few realistic constraints the optimization problem can be translated into the regulation problem of the substrate concentration in the fermentor. The optimal value is a function of a certain growth model. A control law based on the quotient between measurement and optimal value is then implemented. Simulation results and real‐life experiments validate the problem transformation.