重組大腸桿菌（Escherichia coli, E. coli）受啟動子（promoter）誘導調節，加入乳糖誘導劑（inducer）進行誘導可表現重組蛋白質。饋料批式發酵重組蛋白以模式為基礎的進料流率分佈最適化問題來討論，最適化程序採用進化演算法（Evolutionary Algorithm）之中的基因演算法（Genetic Algorithm），討論以最少乳糖進料量與最高重組蛋白產量為兩個目標函數的最適化結果。接著取最適化得到的乳糖最適進料流率去設計單一輸入單一輸出(Single-input Single-output；SISO)的控制。在含有干擾的真實程序下，以PI控制及模式預測控制（Model Predictive Control; MPC）都有達到控制效果。

Recombinant E. coli is induced under the control of the promoter, by feeding the lactose used as the inducer which can induce and express recombinant protein. A model-based feed-rate profile optimization problem is discussed for the fed-batch recombinant protein production. The optimization procedure, applying Genetic Algorithm, one of Evolutionary Algorithm methods, is discussed the results of the optimization that contains the two objective functions regarded as the fewest amount of the lactose feed and the highest amount of recombinant protein. After the optimization, we use the optimal lactose feed-rate to design Single-input Single-output（SISO）control. In the actual process with disturbance, the control is perfectly performed both by PI controller and MPC.

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