Conditions for the phase-plane analysis of feedback control of chemostat.
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.
Department of Chemical Engineering, Nagoya University, Chikusa, Nagoya 464, Japan.
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Shimizu
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Matsubara