竞争模型下连续发酵的最优控制问题  

Optimal Control Problem of Continuous Fermentation under Competition Model

作　　者：许友军[1] 李良兵[1] 杜百知 

机构地区：[1]南华大学数理学院,湖南衡阳421001

出　　处：《南华大学学报（自然科学版）》2016年第1期43-46,共4页Journal of University of South China：Science and Technology

摘　　要：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.In industrial processes of synbiotics reach the maximum value by cultivating these fermentative production, its metabolites can 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 numeri- cal simulations on it.In this way ,we solved the optimal control problem of fermentation.

关 键 词：MONOD方程 BANG-BANG控制 HAMILTON函数 

分 类 号：O174[理学—数学]