Input/state invariant LQ-optimal control: Application to competitive coexistence in a chemostat

Charlotte Beauthier, Joseph J. Winkin, Denis Dochain

Résultats de recherche: Contribution à un journal/une revueArticleRevue par des pairs

Résumé

This paper is devoted to the application of the input/state-invariant linear quadratic (LQ) problem in order to solve the problem of coexistence of species in competition in a chemostat. The methodology that is used has for objective to guarantee the local positive input/state-invariance of the nonlinear system which describes the chemostat model by ensuring the input/stateinvariance of its linear approximation around an equilibrium. This is achieved by applying an appropriate LQ-optimal control to the system, following two different approaches, namely a receding horizon method and an inverse problem approach.

langue originaleAnglais
Pages (de - à)143-158
Nombre de pages16
journalEvolution Equations and Control Theory
Volume4
Numéro de publication2
Les DOIs
Etat de la publicationPublié - 1 janv. 2015

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