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.
Shimizu
K
K
Department of Chemical Engineering, Nagoya University, Chikusa, Nagoya 464, Japan.
Matsubara
M
M