title: Feedback stabilization for a chemostat with delayed output.
abstract: We apply basic tools of control theory to a chemostat model that describes the growth of one species of microorganisms that consume a limiting substrate. Under the assumption that available measurements of the model have fixed delay t>0, we design a family of feedback control laws with the objective of stabilizing the limiting substrate concentration in a fixed level. Effectiveness of this control problem is equivalent to global attractivity of a family of differential delay equations. We obtain sufficient conditions (upper bound for delay t>0 and properties of the feedback control) ensuring global attractivity and local stability. Illustrative examples are included.
authors: Faculty of Mechanical Engineering, Technion Israel Institute of Technology, Haifa, Israel. grobledo@uchile.cl
authors: Gonzalo
authors: G
authors: Robledo
mesh_terms: D019149:Bioreactors / Q000382:microbiology*; D005246:Feedback; D008954:Models, Biological; D009566:Nitrates / Q000378:metabolism; D019800:Phenol / Q000378:metabolism; D010839:Phytoplankton / Q000254:growth & development*; D016958:Pseudomonas putida / Q000254:growth & development*
chemical_list: D009566:Nitrates; D019800:Phenol