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Updated: Jul 4, 2026

The Use of Chemostats in Microbial Systems Biology
Published on: October 14, 2013
Conditions for the phase-plane analysis of feedback control of chemostat
1Department of Chemical Engineering, Nagoya University, Chikusa, Nagoya 464, Japan.
Abstract:
This article deals with the effect of P-control and Pl-control on the dynamic behavior of a continuous stirred tank fermentor (CSTF). Several conditions concerning the stability of steady states and the existence of limit cycles of the closed-loop system are derived. The application is made to the substrate inhibition model with variable yield coefficient. It is shown how the unfavorable phase-plane trajectories of the uncontrolled CSTF can be altered to favorable ones by the appropriate choice of control parameters based on the conditions derived.
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