Feedback control for chemostat models

P. De Leenheer, Hal Smith

Research output: Contribution to journalArticle

98 Citations (Scopus)

Abstract

It is shown that a chemostat with two organisms can be made coexistent by means of feedback control of the dilution rate. Remaining freedom in the feedback law can be used to guarantee robustness or improve particular performance indices. Unfortunately a topological property prevents coexistence by feedback control for chemostats with more than two organisms. We apply our results to control bioreactors aimed at producing commercial products through genetically altered organisms. In all our results the coexistence takes its simplest form: a global asymptotically stable equilibrium point in the interior of the non-negative orthant.

Original languageEnglish (US)
Pages (from-to)48-70
Number of pages23
JournalJournal of Mathematical Biology
Volume46
Issue number1
DOIs
StatePublished - Jan 2003

Fingerprint

Chemostat Model
Chemostats
Chemostat
Coexistence
Feedback Control
Feedback control
Bioreactor
Feedback Law
organisms
Performance Index
Topological Properties
Asymptotically Stable
Bioreactors
Equilibrium Point
Dilution
Interior
Non-negative
bioreactors
Robustness
Feedback

Keywords

  • Chemostat
  • Coexistence
  • Feedback control

ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Mathematics (miscellaneous)

Cite this

Feedback control for chemostat models. / De Leenheer, P.; Smith, Hal.

In: Journal of Mathematical Biology, Vol. 46, No. 1, 01.2003, p. 48-70.

Research output: Contribution to journalArticle

De Leenheer, P. ; Smith, Hal. / Feedback control for chemostat models. In: Journal of Mathematical Biology. 2003 ; Vol. 46, No. 1. pp. 48-70.
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