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研究生： 詹明峯
Ming-Feng Jang
論文名稱： 生物系統建模、最適化與控制設計
Modeling, Optimization, and Control Design for Biological Systems
指導教授： 周宜雄
Yi-Shyong Chou
口試委員: 劉清田
Ching-Tien Liou
王逢盛
Feng-Sheng Wang
錢義隆
I-Lung Chien
錢玉樹
Yu-Shu Chien
學位類別： 博士
Doctor
系所名稱： 工程學院 - 化學工程系
Department of Chemical Engineering
論文出版年： 2012
畢業學年度： 101
語文別： 中文
論文頁數： 203
中文關鍵詞： 生物系統建模 、參數估計 、程序最適化 、控制設計 、逆迴遞設計 、模式預測控制 、敏感度分析
外文關鍵詞： Biological system modeling, Parameter estimation, Process optimization, Control design, Backstepping design, Model predictive control, Sensitivity analysis
相關次數： 點閱：345  下載：1 
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    • 本研究，針對生物系統的建模、最適化和控制器設計三個層面分別深入研究與探討，模式建立是生物系統中相當重要的數學工具，可提升實驗數據的價值性與應用性，為後續所有延伸應用的基石，在文中，以乳酸與乙醇醱酵程序為例，探討生物模式建立的技術與參數估計的方法，提出一個新的參數搜尋技術，應用於大型參數空間範圍，可有效地加速模式參數估計的搜尋速度。程序操作與設計條件的最適化設計，攸關製程的效能表現與經濟影響，延用模式判別得到的系統數學模式，以生產率最大化為製程目標，運用最適化技術處理，可強化生物系統在製程上的表現，得到最佳的程序操作模式與設計條件。透過系統數學模式的模擬計算與最適化技術的整合，提供生物程序進行生產的不同規劃方案與資訊，加速製程的開發，節省部份的實驗成本與時間。另外，提出韌性逆迴遞控制器與線性多重模式預測控制器設計，針對生物系統的程序操作與特性，建立控制設計，處理系統含有不確定存在時，輸出可維持回到在設定點上，透過數值模擬與其他控制設計比較，所提的控制器可成功地排除干擾，並且表現優異。

    In this study, we explore the biological systems at three different levels, modeling, optimization and control design. Model development which is an important mathematical tool for biological systems would increase value and applicability of experimental data. It serves as a basis for the extended application in process design and control design of bioprocesses. Constructing the models for lactic acid and bioethanol fermentation processes are demonstrated. The technology of biological system modeling with parameter estimation is discussed. A new technique for searching parameter estimation procedure was proposed to successfully speed up the optimization computation, especially applicable to the large search parameter domain. Optimal design for process mode and operating conditions would affect the performance of biological systems on production and economic. The goal of process optimization is to do find the optimal conditions for enhanced bioprocess performance. Finally, robust back-stepping controller design and linear multi-model predictive controller design were proposed to deal with the problem of biological systems contained the uncertainties. Simulation results showed the proposed control schemes successfully drive the output of the continuous bioreactor to its desired trajectory.

    摘要 III Abstract V 誌謝 VII 目錄 IX 圖索引 XIII 表索引 XVII 符號說明 XXI 第壹章 緒論 1 1.1 前言 1 1.2 文獻回顧 8 1.2.1 生質乙醇論文回顧 8 1.2.2 乳酸醱酵製造論文回顧 9 1.2.3 乳酸菌醱酵製造乳酸近期回顧 10 1.2.4 細胞迴流乳酸程序論文回顧 13 1.2.5 非定義明確相對階數(Ill-defined relative degree)系統控制策略之回顧 13 1.2.6 重組蛋白質(Recombinant protein)論文回顧 15 1.2.7 最適化技術應用於生化程序之回顧 16 1.2.8 重組蛋白製造程序控制器設計之回顧 18 1.3 研究動機與目的 22 1.4 組織章節 23 第貳章 生物系統之建模與參數估計 24 2.1 前言 24 2.2 乳酸醱酵系統之非結構型模式 24 2.2.1 模式建立 24 2.2.2 模式選擇指標 30 2.2.3 計算結果與討論 30 2.3 同步醣化與醱酵程序生產生質乙醇之非結構型模式 46 2.3.1 模式建立 46 2.3.2 參數估計方法 50 2.3.3 模式驗證與結果 52 含變動參數的模式(Model with varying parameters) 52 含固定參數的模式(Model with fixed parameters) 53 2.4 同步醣化與醱酵程序生產生質乙醇之結構型模式 60 2.4.1 Cybernetic modeling簡介 60 2.4.2 Cybernetic modeling建立 61 2.4.3 參數估計方法與敏感度函數分析 66 2.4.4 模式驗證與討論 67 初次估測結果 67 兩階段式估測與結果 68 第參章 生物程序之程序最適化 88 3.1 前言 88 3.2 乳酸醱酵程序最適化 89 3.2.1 程序建立 89 3.2.2 效能與目標函數 96 3.2.3 最適化操作條件搜尋 98 3.2.4 結果與討論 99 3.3 非結構型模式生質乙醇生產之程序最適化 108 3.3.1 程序最適化 108 3.3.2 結論 114 3.4 結構型模式生質乙醇生產之程序最適化 114 3.4.1 饋料批式操作 114 3.4.2 程序最適化結果 116 第肆章 生物系統之控制系統設計 126 4.1 前言 126 4.2 適應性逆迴遞設計(Adaptive backstepping design) 126 4.2.1 問題描述 126 4.2.2 近似線性化 128 4.2.3 逆步階控制設計回饋控制 130 4.2.4 生化反應器的應用 132 4.2.5 結論 142 4.3 線性多重模式預測控制設計 142 4.3.1 數學模式 142 4.3.2 控制器設計 145 線性多重模式預測控制(Linear Multi-model Predictive Control, LM2PC) 145 線性多重模式建立(Linear multi-model) 146 最適化問題計算(Optimization problem) 147 4.3.3 結果與討論 148 4.3.4 結論 157 第伍章 結論 158 參考文獻 160 附錄一 代謝化學反應的理論值計算 169 附錄二 模式參數值 170 作者簡介 177

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