| 许友军,李良兵,杜百知.竞争模型下连续发酵的最优控制问题[J].南华大学学报(自然科学版),2016,30(1):43~46.[XU You-jun,LI Liang-bing,DU Bai-zhi.Optimal Control Problem of Continuous Fermentationunder Competition Model[J].Journal of University of South China(Science and Technology),2016,30(1):43~46.] |
| 竞争模型下连续发酵的最优控制问题 |
| Optimal Control Problem of Continuous Fermentationunder Competition Model |
| 投稿时间：2015-06-15 |
| DOI： |
| 中文关键词: monod方程 bang-bang控制 Hamilton函数 |
| 英文关键词:monod equation bang-bang control Hamilton function |
| 基金项目: |
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| 摘要点击次数: 620 |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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. |
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