A method for the reconstruction of unknown non-monotonic growth functions in the chemostat.

Abstract:

:We propose an adaptive control law that allows one to identify unstable steady states of the open-loop system in the single-species chemostat model without the knowledge of the growth function. We then show how one can use this control law to trace out (reconstruct) the whole graph of the growth function. The process of tracing out the graph can be performed either continuously or step-wise. We present and compare both approaches. Even in the case of two species in competition, which is not directly accessible with our approach due to lack of controllability, feedback control improves identifiability of the non-dominant growth rate.

journal_name

Bioprocess Biosyst Eng

authors

Sieber J,Rapaport A,Rodrigues S,Desroches M

doi

10.1007/s00449-013-0912-8

subject

Has Abstract

pub_date

2013-10-01 00:00:00

pages

1497-507

issue

10

eissn

1615-7591

issn

1615-7605

journal_volume

36

pub_type

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