微生物连续发酵过程线性反馈最优控制

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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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