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Conditions for the phase–plane analysis of feedback control of chemostat

✍ Scribed by Kazuyuki Shimizu; Masakazu Matsubara

Publisher
John Wiley and Sons
Year
1985
Tongue
English
Weight
432 KB
Volume
27
Category
Article
ISSN
0006-3592

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✦ Synopsis

This article deals with the effect of P-control and PIcontrol 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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