Global linearization and control of a mixed-culture bioreactor with competition and external inhibition
type: Item
instance of: scholarly article
title: Global linearization and control of a mixed-culture bioreactor with competition and external inhibition
zbMATH Open document ID: 0599.92007
DOI: 10.1016/0025-5564(86)90004-0
author: Karlene A. Hoo
author: Jeffrey C. Kantor
published in: Mathematical Biosciences
publication date: 1986-01-01T00:00:00Z
review text: Nonlinear feedback control design is demonstrated in this study for a continuous mixed-culture biological reactor model exhibiting competition and external inhibition. The model considered describes the growth of two species in a continuous stirred tank, for which one species is sensitive to an external inhibitor, and for which both species compete for the same rate-limiting substrate. It is shown that choosing the dilution rate and the inhibitor addition rate as manipulated variables admits a global linearization transformation which can be used to construct a multivariable feedback controller. The transformed state variables are found to be the cell density of the substrate insensitive species, the log ratio of cell densities, and the net difference in specific growth rates. An extended Kalman filter is used to estimate the unmeasured states when only a single measurement of the total cell mass is available. Simulated performance of the closed-loop system appears to be satisfactory for a wide region of the phase space.
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 3968404
zbMATH Keywords: biochemistry
zbMATH Keywords: Nonlinear feedback control design
zbMATH Keywords: continuous mixed-culture biological reactor model
zbMATH Keywords: competition
zbMATH Keywords: external inhibition
zbMATH Keywords: continuous stirred tank
zbMATH Keywords: rate-limiting substrate
zbMATH Keywords: dilution rate
zbMATH Keywords: inhibitor addition rate
zbMATH Keywords: global linearization transformation
zbMATH Keywords: multivariable feedback controller
zbMATH Keywords: cell density of the substrate insensitive species
zbMATH Keywords: log ratio of cell densities
zbMATH Keywords: net difference in specific growth rates
zbMATH Keywords: extended Kalman filter
zbMATH Keywords: closed-loop system
Wikidata QID: Q115927652
MaRDI profile type: Publication
full work available at URL: 0025-5564(86)90004-0
OpenAlex ID: W1976512314
cites work: Q4098838
cites work: Q3907490
cites work: Q3332867
cites work: Fast projection methods for minimal design problems in linear system theory
cites work: On the linear equivalents of nonlinear systems
description: scientific article; zbMATH DE number 3968404