微生物连续发酵稳定模型的算法与收敛性

Optimized control algorithm for microorganism continuous fermentation

该文以微生物连续发酵制取1,3-丙二醇为实际背景,研究了以稳定性条件为主要约束的优化模型的算法及收敛性。以该优化模型的最优性函数等于零为结束准则,仿照Armijo一维线搜索方法确定步长,最速下降法确定搜索方向构造了优化算法,并进行收敛性分析。最后通过数值计算结果与实验数据的比较,说明稳定性条件下的优化模型比较准确地描述了实验过程,同时说明该算法正确、可行。

An optimized control model with stability constraints was developed for producing 1,3-propanediol using microorganism continuous fermentation.The zero of the optimal function was used as the terminal criteria with the step-size selected using the Armijo line search and the search direction selected using the gradient method.The algorithm convergence is proven.The optimal model correctly describes the experiment conditions and the predictions agree well with laboratory data.