Minimal Time Control of the Two Tanks Gradostat Model Under a Cascade Input Constraint - INRAE - Institut national de recherche pour l’agriculture, l’alimentation et l’environnement Accéder directement au contenu
Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2014

Minimal Time Control of the Two Tanks Gradostat Model Under a Cascade Input Constraint

Résumé

We study the minimum time control problem of a series of two interconnected chemostats under the input constraint u2<=u1, where ui are the respective dilution rates in the tanks. This constraint brings controllability issues in the study of the optimal strategies. We encounter this difficulty by splitting the state domain into two sub-domains, one with no lack of controllability of the target, and its complementary is such that any optimal control fulfills u1=u2. We explicit the complete optimal synthesis that depends on the position of the target with respect to semi-permeable curve that passes through a steady-state singular point.
Fichier principal
Vignette du fichier
Final-version.pdf (360.8 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00798651 , version 1 (09-03-2013)
hal-00798651 , version 2 (03-10-2013)
hal-00798651 , version 3 (02-06-2014)

Identifiants

Citer

Térence Bayen, Alain Rapaport, Matthieu Sebbah. Minimal Time Control of the Two Tanks Gradostat Model Under a Cascade Input Constraint. SIAM Journal on Control and Optimization, 2014, 52 (4), pp.2568-2594. ⟨10.1137/130950379⟩. ⟨hal-00798651v3⟩
871 Consultations
532 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More