竞争模型下连续发酵的最优控制问题

发酵法生产合生元的工业过程中,通过培养曲霉与酵母菌两个微生物,使其代谢产物达到最大值.本文将底物的补充速度看作是一个控制变量的控制函数,底物流出速度看做另一个控制变量的控制函数,在原monod动力学模型的基础上,提出了一个新的发酵模型,并对模型进行了数值模拟,解决了发酵的最优控制问题.

Optimal Control Problem of Continuous Fermentationunder Competition Model

In industrial processes of synbiotics fermentative production,its metabolites can reach the maximum value by cultivating these two micro-organisms,Aspergillus and yeast.In this peper we see the added speed of the substrate as a fuction of a controlled variable and the outflow speed as a function of the other controlled variable.Based on the original Monod kinetic model,we came up with a new model of fermentation and conducted numerical simulations on it.In this way,we solved the optimal control problem of fermentation.