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Stabilization in a Two-Species Chemostat With Monod Growth Functions

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3 Author(s)
Mazenc, F. ; MERE INRIA-INRA, UMR Analyse des Syst. et Biometrie INRA, Montpellier ; Malisoff, M. ; Harmand, J.

We design feedback controllers for two species chemostats so that an equilibrium with arbitrary prescribed positive species concentrations becomes globally asymptotically stable. We use a new global explicit strict Lyapunov function construction, which allows us to quantify the effects of disturbances using the input-to-state stability paradigm. We assume that only a linear combination of the species concentrations is known. We illustrate our approach using a numerical example.

Published in:

Automatic Control, IEEE Transactions on  (Volume:54 ,  Issue: 4 )

Date of Publication:

April 2009

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