微生物批式流加发酵中的最优控制

J4 ›› 2011, Vol. 46 ›› Issue (11): 117-121.

微生物批式流加发酵中的最优控制

于永胜,宫召华,刘重阳

山东工商学院数学与信息科学学院, 山东烟台 264005

收稿日期:2010-11-29 出版日期:2011-11-20 发布日期:2011-11-30
作者简介:于永胜(1965- ),男,副教授,研究方向为控制理论与应用. Email:yuy65@sina.com
基金资助:
国家自然科学基金青年科学基金项目(ZR2010AQ016);山东省自然科学基金青年基金项目(R2010AQ016);山东省自然基金高校联合专项资助项目(ZR2011AL003)

Optimal control problem in the microbial fed-batch fermentation process

YU Yong-sheng, GONG Zhao-hua, LIU Chong-yang

School of Mathematics and Information Science,Shandong Institute of
Business and Technology, Yantai 264005, Shandong, China

Received:2010-11-29 Online:2011-11-20 Published:2011-11-30

摘要/Abstract

摘要：

提出了一个非线性动力系统用以描述微生物批式流加发酵生产1,3-丙二醇过程。以终端时刻1,3-丙二醇的浓度作为性能指标且以甘油和碱的流加速度作为控制函数,研究了含状态和控制约束的最优控制问题。最后,基于控制参数化方法和改进的差分演化算法构造了一种求解最优控制问题的计算方法。数值分析结果表明与已有结果相比,终端时刻1,3-丙二醇的浓度有显著提高。

关键词: 非线性动力系统;最优控制;控制参数化方法;差分演化算法;批式流加发酵

Abstract:

A nonlinear dynamical system is proposed to formulate the microbial fedbatch fermentation process of 1, 3-propanediol (1, 3-PD) production. Taking the 1, 3-PD concentration at the terminal time as the performance index and the feed rates of glycerol and alkali as the control function, an optimal control problem subject to constraints of state and control is presented. A solution method is developed to seek the optimal feed rates based on control parameterization method and modified differential evolution algorithm. Numerical results show that the concentration of 1, 3-PD at the terminal time can be considerably increased compared with previous results.

Key words: nonlinear dynamical system; optimal control; control parameterization; modified differential evolution; fed-batch culture

于永胜,宫召华,刘重阳. 微生物批式流加发酵中的最优控制[J]. J4, 2011, 46(11): 117-121.

YU Yong-sheng, GONG Zhao-hua, LIU Chong-yang. Optimal control problem in the microbial fed-batch fermentation process[J]. J4, 2011, 46(11): 117-121.

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