针对一类微生物发酵生产~1, 3-丙二醇~(1, 3-PD)~问题, 综合考虑细胞内、外各物质浓度的变化, 给出了非耦联批式流加发酵非线性混杂动力系统模型, 以碱和甘油的流加速率为控制变量, 以终端 时刻~1, 3-PD~浓度最大为性能指标, 建立了非耦联批式流加发酵切 换最优控制模型. 应用粒子群优化算法对模型进行求解, 通过大规模优化计算得到了甘油和碱的最优流加策略. 数值结果表明依该流加 策略, 可以有效提高终端时刻~1, 3-PD~的浓度.

For a class of the microbial fermentation process of glycerol to 1, 3-propanediol(1, 3-PD), this paper studies a nonlinear hybrid dynamical system in a decoupled microbial fed-batch fermentation by considering comprehensively the evolution of concentration of the intracellular and extracellular substances. Taking the feeding rates of glycerol and alkali as decision variables, a switching optimal control model is formulated with the productivity of 1, 3-PD as the performance index. A particle swarm optimization algorithm is established for seeking the optimal feeding rates of glycerol and alkali. Numerical results show that, by employing the optimal control policy, the concentrati