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研究生:張仲豪
研究生(外文):Chung Hao Chang
論文名稱:以卡曼濾波器及最小變異控制器實現微影製程控制
論文名稱(外文):Process Control for Photolithography Using Kalman Filter and Minimum Variance Controller
指導教授:李安謙
指導教授(外文):An Chen Lee
學位類別:碩士
校院名稱:國立交通大學
系所名稱:工學院半導體材料與製程產業專班
學門:工程學門
學類:材料工程學類
論文種類:學術論文
論文出版年:2007
畢業學年度:96
語文別:中文
論文頁數:91
中文關鍵詞:微影製程覆蓋誤差批次控制卡曼濾波器最小變異控制器
外文關鍵詞:PhotolithographyOverlayRun-to-run ControlKalman FilterMinimum Variance Controller
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本論文主要目的為設計一套應用於微影製程之覆蓋誤差(Overlay,OL)的先進製程控制方法。經由歷史資料的分析找出曝光機覆蓋誤差之輸入變數與輸出變數之間的關係,建立批次控制之預測模型,然後利用卡曼濾波器(Kalman Filter),做模型截距的動態調變,以適應製程隨時間變化之變異及干擾,再將已調變完成之模型代入最小變異控制器(Minimum Variance Controller,MVC),使機台的輸入變數可以在改變量最小的限制下,即製程的變動最小的情形下,讓輸出變數快速地到達所設定的目標值,以提升製程之良率。
This thesis presents a new run-to-run (R2R) controller for photolithography process. The controller, termed Kalman minimum variance controller, can act both as a dynamical model optimizer and as a controller for given models. In this thesis, the relationships and run-to-run control model among input recipes and output overlay variables are formed by analyzing the historical data. Then on-line (Recursive) model identification and recipes generation are performed by using Kalman filter and minimum variance controller, respectively. Improvements due to advanced control have been quantified in simulations and actual FAB operations.
目 錄
摘 要 i
ABSTRACT ii
目 錄 iii
圖 目 錄 v
表 目 錄 viii
符號說明 ix
誌謝 xi
第一章 緒論 1
1.1. 研究動機與目的 1
1.2. 文獻回顧 4
1.3. 研究方法 6
1.4. 本文組織架構 7
第二章 微影製程、機台與覆蓋誤差介紹 9
2.1. 微影製程介紹 9
2.2. 微影機台介紹 15
2.3. 微影覆蓋誤差介紹 21
第三章 歷史資料分析與建模 28
3.1. 歷史資料分析 28
3.2. 建模 33
第四章 Run-to-Run 控制器 37
4.1. EWMA控制器 37
4.2. Double EWMA控制器 40
4.3. Pheromone Propagation控制器 42
4.4 卡曼濾波器 45
4.5 最小變異控制器 48
4.6 卡曼最小變異控制器完整架構 50
4.7 新卡曼最小變異控制器完整架構 53
第五章 模擬 56
第六章 實驗驗證 74
第七章 結論與未來建議 87
參考文獻 89
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