• 作者： Hwang, Chyi; Lin, Jeng-Shiaw
• 中文摘要： 由文獻得知當應用Pontryagin's maximum principle於Fed-batch發酵程序的進料最適化時，將會導出奇異性控制策略。本文應用數值近似的方法以決定 Repeated fed-batch發酵程序在胞體產量最大化操作情況的最佳片段定值進料策略。研究結果顯示在基質抑制的細胞成長機制下，如果進料策略不存在 Singular arc，則控制策略並非真正的最佳控制策略。對於固定生產係數的細胞成長機制，當起始胞體濃度x/sub 0/低於使胞體呈現最大成長速率的濃度 x/sub c/的情況下，不具有Singular arc的退化情形將會發生。來自於對退化情況所計算得到的片段定值次佳進料流的啟發，我進一步搜尋奇異性控制策略的另一種控制形式，得到真正的最佳進料策略。
• 英文摘要： It has been shown in the literature that the use of Pontryagin's maximum principle to the optimization of feeding policy for fed-batch fermentation processes leads to a singular control strategy. This paper applies a numerical approach to find the optimal piecewise-constant feed profile for a repeated fed-batch fermentation process for the maximum cell productivity. It is shown that for a process with substrate-inhibited growth kinetics, the singular control strategy is not true optimal if there is no singular arc in the control. For a growth kinetics with constant yield coefficient, the degenerate case of having no singular arc occurs when the initial cell concentration x/sub 0/ is lower than the concentration x/sub c/ at which the cell has a maximum growth rate. The computed piecewise-constant suboptimal feeding profile for the degenerate case motivates us to search an alternative type of singular control strategy that gives the true optimal solution.
• 中文關鍵字： 數值最適化; 重覆進料; 發酵; 饋料批次; 分段; 梯度最適化
• 英文關鍵字： Numerical Optimization; Repeated Fed; Fermentation; Fed Batch; Piecewise; Gradient Based Optimization