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Updated: Jun 22, 2026

The Use of Chemostats in Microbial Systems Biology
Published on: October 14, 2013
Feedback stabilization for a chemostat with delayed output
1Faculty of Mechanical Engineering, Technion Israel Institute of Technology, Haifa, Israel. grobledo@uchile.cl
Abstract:
We apply basic tools of control theory to a chemostat model that describes the growth of one species of microorganisms that consume a limiting substrate. Under the assumption that available measurements of the model have fixed delay t>0, we design a family of feedback control laws with the objective of stabilizing the limiting substrate concentration in a fixed level. Effectiveness of this control problem is equivalent to global attractivity of a family of differential delay equations. We obtain sufficient conditions (upper bound for delay t>0 and properties of the feedback control) ensuring global attractivity and local stability. Illustrative examples are included.
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