Modelling and simulation of a continuous process with feedback control and pulse feeding

This paper deals with feedback control of a microorganism continuous culture process with pulse dosage supply of substrate and removal of products. By the analysis of the dynamic properties and numerical simulation of the continuous process, the conditions are obtained for the existence and stability of positive period-1 solution of the system. It is also pointed out that there does not exist positive period-2 solution. The results simplify the choice of suitable operating conditions for continuous culture systems. It also gives the complete expression of the period of the positive period-1 solution, which provides the precise feeding period for a regularly continuous culture system to achieve the same stable output as a continuous culture system with feedback control in the same production environment.