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

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.