Title :
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
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;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3
