微生物批式流加发酵生产1,3-丙二醇过程的优化

Computation of Optimal Control for 1,3-PD Fed-Batch Culture

本文考虑了微生物批式流加发酵生产1,3-丙二醇的过程优化问题.用非线性切换系统描述拙式流加发酵过程.考虑终端时刻1,3-丙二醇的浓度最大化,给出了以甘油流加速度和流加时刻为控制变量的带有连续状态变量不等式约束的最优控制问题.应用时间转换方法处理变动切换时刻,应用惩罚函数和障碍函数方法处理连续状态变量不等式约束,然后基于梯度最优化算法和粒子群优化算法给出计算方法.

In this paper,we consider the optimal control of microbial fed-batch cultrue of1,3-propandiol from glycerol.To maximize 1,3-PD concentration at the terminal time,we present an optimal control problem in which the final 1,3-PD yield is taken as the cost function,while the feeding velocity of glycerol and alkali and the the feeding time points are taken as decision variables.Continuous state inequality constraints are imposed to ensure that the concentrations of biomass,glycerol,and reaction products lie within specified limits.Time scaling method is used to map the variable switching time points into fixed knots in a new time scale.The continuous state inequality constraints are handled by penalty and barrier function method.An gradient based particle swarm algorithm is presented to solve the optimal parameter selection problem.