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Phase‐plane analysis of feedback control of unstable steady states in a biological reactor
Author(s) -
Dibiasio David,
Lim Henry C.,
Weigand William A.,
Tsao George T.
Publication year - 1978
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690240417
Subject(s) - control theory (sociology) , continuous stirred tank reactor , steady state (chemistry) , feedback control , saddle point , phase plane , saddle , continuous flow , mechanics , plane (geometry) , flow (mathematics) , variable (mathematics) , loop (graph theory) , phase (matter) , mathematics , control (management) , physics , engineering , chemistry , computer science , mathematical analysis , control engineering , chemical engineering , mathematical optimization , nonlinear system , geometry , artificial intelligence , quantum mechanics , combinatorics
Feedback control of an open loop, unstable, continuous flow, stirred‐tank biological reactor was investigated theoretically using several microbial growth models. The closed loop system can be made globally stable, but constraints on the manipulated variable can lead to as many as five steady states, which are either saddle points or locally stable nodes.