Title :
A new method for the reconstruction of unknown non-monotonic growth functions in the chemostat
Author :
Sieber, Jan ; Rapaport, Alain ; Rodrigues, Serafim ; Desroches, Mathieu
Author_Institution :
Math. Dept., Univ. of Portsmouth, Portsmouth, UK
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 to use a continuation method to reconstruct the whole graph of the growth function. Two variants, in continuous and discrete time, are presented. The case of two species in competition is also examined.
Keywords :
adaptive control; bioreactors; continuous systems; discrete time systems; open loop systems; adaptive control law; continuation method; continuous system; discrete time system; open-loop system; single-species chemostat model; unknown nonmonotonic growth function reconstruction; Adaptive control; Asymptotic stability; Biological system modeling; Equations; Mathematical model; Steady-state; Transient analysis;
Conference_Titel :
Control & Automation (MED), 2012 20th Mediterranean Conference on
Conference_Location :
Barcelona
Print_ISBN :
978-1-4673-2530-1
Electronic_ISBN :
978-1-4673-2529-5
DOI :
10.1109/MED.2012.6265633
