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Simple nonsingular control approach to fed‐batch fermentation optimization
Author(s) -
Modak J. M.,
Lim H. C.
Publication year - 1989
Publication title -
biotechnology and bioengineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.136
H-Index - 189
eISSN - 1097-0290
pISSN - 0006-3592
DOI - 10.1002/bit.260330103
Subject(s) - simple (philosophy) , invertible matrix , fermentation , biochemical engineering , control (management) , microbiology and biotechnology , computer science , mathematics , process engineering , chemistry , biology , food science , engineering , artificial intelligence , philosophy , pure mathematics , epistemology
Determination of the optimal feed rate for fed‐batch fermentation is normally a problem in singular control with a state inequality constraint and as such is, in general, difficult to solve, especially for those described by a large number of dynamic mass balance equations. In this article we use a new set of state variables and the culture volume as the control variable. In this way the problem is converted to one of nonsingular control with the magnitude and rate constraints on the manipulated variable and can be numerically solved by a gradient‐based technique, thus avoiding the difficulty associated with singular control problems. Examples are given to illustrate the method.