Lyapunov-based continuous-stirred tank bioreactor control to maximize biomass production using the haldane and monod specific growth models

摘要

A novel robust controller is proposed for a continuous-stirred tank bioreactor that controls the culture dilution rate into the bioreactor in order to maximize a cost function representing the biomass yield. To that end, an optimal desired biomass concentration trajectory is designed based on a numerical extremum-seeking algorithm to maximize the biomass yield. A nonlinear robust controller is designed to ensure the biomass concentration tracks the desired trajectory while providing stable operation. Lyapunov-based stability analyses are used to prove semi-global tracking.