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研究生: 蕭志民
Chi Ming Hsiao
論文名稱: 數值型自適應共振理論(DARTMAP)在Melt Index預測之應用
The Application of Digital Adaptive Resonance Theory Mapping in Prediction of Melt Index
指導教授: 汪上曉
David Shan-Hill Wong
口試委員:
學位類別: 碩士
Master
系所名稱: 工學院 - 化學工程學系
Department of Chemical Engineering
論文出版年: 2001
畢業學年度: 89
語文別: 中文
論文頁數: 58
中文關鍵詞: 自適應共振理論軸向基底類神經網路廣義迴歸類神經網路聚乙烯製程MI 預測
外文關鍵詞: ART, Digital ART, RBFN, GRNN, PE process, Melt Index prediction
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  • 自適應共振理論發展至今,陸續有許多版本被提出,其中的Digital ART版本(DART)改良了之前ART的缺點,DART 使用距離為基礎的不相似標準,能同時處理連續及整數變數,接受動態關聯的輸入;然而DART祗能用於分類,不能用於建立模式。因此我們提出兩個以DART為基礎的類神經網路模型 (DART + RBFN及DART + GRNN) ,能從大量的歷史數據中利用DART找出具代表性的數據點為訓練樣本集,及測試樣本集,再以RBFN或GRNN建立模型
    經由一些簡單數學題目包括一維(Single Input Single output, SISO)的兩個函數(高斯曲線函數、三角曲線函數)及二維(Multi Input Single Output, MISO)的兩個函數(Himmeblau function、Peaks function)來驗証我們的模型可行性後,發現我們提出的模型中的DART+RBFN的效果較DART+GRNN來得好。因此將DART + RBFN應用至建立一真實PE製程的MI預測模型,我們發現此一模型可以關聯不同操作條件的穩態之MI 、也可以預測過渡狀態之MI變化,以及預測不同時段相同操作條件之MI。


    Many versions of Adaptive Resonance Theory (ART) have been developed. One of these is Distance based ART (DART), which can deal with both continuous and integer inputs, employs a dissimilarity based vigilance measure, and accept dynamically correlated data. However, DART performs only the clustering step. To include a model building step, we proposed two neural networks based on DART --- DART+RBFN and DART+GRNN. Using DART, a representative training set and a test set can be mined from a large set of data. These data can be used to build a radial basis function network (RBFN) or a generalized regression network (GRNN).
    DART+RBFN and DART+GRNN are tested using two SISO functions --- Gaussian curve function and trigonometric curve function, and two MISO functions --- Himmeblau function and Peaks function. We found that our method works well but DART+RBFN is better than DART+GRNN due to its superior modeling ability. Therefore DART+RBFN model was applied to construct an empirical model for Melt Index (MI) of a PE plant. We found that the model can be used to correlate and predict MI different steady operations as well as the changes of MI when there are grade transitions.

    摘要 1 Abstract 2 目錄 3 圖目錄 5 表目錄 7 一、緒論 8 一、1 類神經網路簡介 8 一、1.1 發展背景及歷史 8 一、1.2 數學形式 8 一、1.3 學習方法 11 一、2軸向基底函數類神經網路 13 一、3廣義迴歸類神經網路 15 一、4自適應共振理論 16 一、4.1ART的版本 17 一、4.2ART各版本所具有的問題 17 一、5 研究範圍及目標 18 二、理論 19 二、1 Digital ART(DART) 19 二、1.1演算法流程 19 二、1.2DART在對比加強機制上的改進 21 二、2 DART+RBFN及DART+GRNN 21 二、2.1DART+RBFN中node數之決定 22 二、2.2DART+GRNN中參數sp之決定 23 三、簡單數學問題對模型之測試 25 三、1 一維問題之測試及結果 25 三、1.1高斯函數曲線 25 三、1.2三角函數曲線 29 三、2 二維問題之測試及結果 33 三、2.1Himmeblau Function 33 三、2.2Peaks Function 38 四、聚乙烯製程之Melt Index 預測模式 43 四.1 PE製程 43 四.1.1 製程簡介 44 四.1.2 以DART 對操作分類 44 四.2 MELT INDEX之模式 49 四.2.1 Melt Index(MI)簡介 49 四.2.2 PE製程之Melt Index 49 四.3 DART+RBFN黑盒MI 預測模式 50 五、結論 55 符號說明 56 參考文獻 57

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