文章摘要
贝泓涵,张立卫,孙菁.微生物连续发酵过程线性反馈最优控制[J].,2018,58(3):324-330
微生物连续发酵过程线性反馈最优控制
Linear optimal feedback control in continuous culture of microbial fermentation
  
DOI:10.7511/dllgxb201803014
中文关键词: 连续发酵  非线性动力系统  反馈最优控制  精确罚方法
英文关键词: continuous fermentation  nonlinear dynamic system  optimal feedback control  exact penalty method
基金项目:国家自然科学基金青年基金资助项目(11301051).
作者单位
贝泓涵,张立卫,孙菁  
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中文摘要:
      研究了一类微生物连续发酵生产1,3-丙二醇的线性反馈最优控制策略.将稀释速率D和注入的甘油浓度Cs0作为控制变量,建立线性反馈控制器使得1,3-丙二醇的产量最大化.首先通过非线性动力系统模型,将最优化问题描述出来并引入线性反馈策略,使用精确罚方法找到这个半无限优化问题的近似问题.进而基于梯度优化,使用一种标准的非线性优化方法给出了近似问题的解,从而得到原优化问题的最优解并求得反馈控制参数.由于线性反馈控制策略可以实现闭环控制,很好地保证了鲁棒性,取得了一定的成效.
英文摘要:
      A linear optimal feedback control strategy for producing 1, 3-propanediol(1, 3-PD) via microbial continuous fermentation is studied. Choosing the dilution rate D and the concentration of glycerol Cs0 in the input feed as the control variables, the linear feedback controller is established to maximize the yield of 1,3-PD. First, by introducing the model of this nonlinear dynamic system, the optimal problem is described and the linear optimal feedback control strategy is used. In order to solve this semi-finite optimal problem, an exact penalty method is used to simplify the problem. Then based on gradient optimization method, the solution of this simplified problem is obtained by a standard nonlinear optimization method, further more the solution of the original problem is obtained and the feedback control parameters are got. Because the linear feedback control strategy can achieve closed-loop control, the robustness makes the control effect.
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