Global output feedback stabilization of a chemostat with an arbitrary number of species

Fréd Éric Mazenc, Zhong Ping Jiang

Research output: Contribution to journalArticlepeer-review

Abstract

This technical note studies the global output feedback stabilization problem for a chemostat with an arbitrary number of species competing for a single nutrient source. It is shown that coexistence can be achieved by means of a feedback control of the substrate input concentration and an appropriate choice of a constant dilution rate. The input substrate feedback controller proposed is a dynamic time-varying output feedback, with the substrate concentration considered as the output. The result relies on the construction of a novel nonlinear observer and is established via a Lyapunov-based proof.

Original languageEnglish (US)
Article number5512615
Pages (from-to)2570-2575
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume55
Issue number11
DOIs
StatePublished - Nov 2010

Keywords

  • Chemostats
  • output feedback
  • stabilization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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