HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation

Feedback stabilization for a chemostat with delayed output

Gonzalo Robledo 1
1 COMORE - Modeling and control of renewable resources
LOV - Laboratoire d'océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : In this paper we consider a problem of asymptotic stabilization for a chemostat, by using a feedback control law and considering a delay $\tau>0$ on its output. The presence of these delays on the outputs makes more difficult to achieve our asymptotic stabilization objectives. We build a family of feedback control laws (using the dilution rate as control variable) obtaining sufficient conditions for asymptotic stabilization, given by upper bounds for the delay (which are dependent of the feedback control law). Using some reduction techniques we show that the control problem becomes equivalent to obtain global stability conditions for the zero solution of the scalar differential delay equation: $$ \dotu(t)=-G(u(t))+F(u(t-\tau)). $$
Document type :
Complete list of metadata

Cited literature [22 references]  Display  Hide  Download

Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Friday, May 19, 2006 - 7:23:06 PM
Last modification on : Tuesday, December 14, 2021 - 3:17:11 AM
Long-term archiving on: : Sunday, April 4, 2010 - 8:27:04 PM


  • HAL Id : inria-00070182, version 1


Gonzalo Robledo. Feedback stabilization for a chemostat with delayed output. [Research Report] RR-5844, INRIA. 2006, pp.30. ⟨inria-00070182⟩



Record views


Files downloads