恒浊器模型乳酸发酵状态优化控制（英文）  

Optimal Feedback Control for the Lactic Acid Fermentation in A Turbidostat

作　　者：赵中[1] 肖依 庞留勇[1] 

机构地区：[1]黄淮学院数学科学系,河南驻马店463000 [2]驻马店市第二初级中学,河南驻马店463000

出　　处：《生物数学学报》2015年第4期585-592,共8页Journal of Biomathematics

基　　金：supported by the the National Natural Science Foundation of China(No.11371164);NSFC-Talent Training Fund of Henan(U1304104);Henan Science and Technology Department(122300410398,132300410084)

摘　　要：本文研究了恒化器模型中带状态反馈控制乳酸发酵数学模型。利用Poincare映射得到阶一周期解的存在性和稳定性条件,然后通过数值模拟表明状态反馈控制是生产产物具有浓度抑制的一类物质的较好方法。In this paper,lactic acid fermentation with impulsive state feedback control is described by an autonomous system with impulse.The sufficient conditions of existence of the order-1 periodic solution are obtained by using the Poincare map and the results and simulations show that turbidostat with impulsive state feedback control tends to a period-1.Finally,we obtain that turbidostat with impulsive state feedback control is an effective way to culture the inhibition of the product concentration such as an L-Lactic acid fermentation.

关 键 词：恒化器 状态反馈控制 产物浓度抑制 阶-周期解 

分 类 号：O175[理学—数学]