Design and analysis of a nonlinear stabilizing controller for a mass structured cell population balance model with input constraints

Author

Beniich, N. ; Dochain, D.

Author_Institution

CESAME, Univ. Catholique de Louvain, Louvain-la-Neuve, Belgium

fYear

2009

fDate

23-26 Aug. 2009

Firstpage

1884

Lastpage

1888

Abstract

The dynamics of population balance systems are described by partial integro-differential equations. In this paper we are interested in the design and analysis of a nonlinear stabilizing control scheme based on Lyapunov design techniques in order to stabilize the steady state of the cell population balance model in a continuous bioreactor by manipulating the dilution rate. In this specific instance, the model consists of a partial integro-differential equation, describing cell growth, and an ordinary integro-differential equation, accounting for substrate consumption.

Keywords

Lyapunov methods; bioreactors; control system synthesis; integro-differential equations; nonlinear control systems; stability; Lyapunov design techniques; cell growth; continuous bioreactor; dilution rate; input constraints; mass structured cell population balance model; nonlinear stabilizing control scheme; ordinary integrodifferential equation; partial integrodifferential equations; steady state; substrate consumption; Biological system modeling; Equations; Mathematical model; Sociology; Statistics; Steady-state; Substrates;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2009 European

Conference_Location

Budapest

Print_ISBN

978-3-9524173-9-3

Type

conf

Filename

7074678