微生物批式流加发酵中的最优控制

Optimal control problem in the microbial fed-batch fermentation process

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。

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.