一类非耦联批式流加发酵混杂系统的最优控制

OPTIMAL CONTROL OF HYBRID SYSTEM IN A DECOUPLED MICROBIAL FED-BATCH FERMENTATION PROCESS

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 concentration of 1,3-PD at the terminal time can be increased considerably.