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系統識別號 U0026-0812200913334203
論文名稱(中文) 基於小波訊號處理之磁浮軸承系統鑑別
論文名稱(英文) Identification of Magnetic Bearing Systems via Wavelet Signal Processing
校院名稱 成功大學
系所名稱(中) 機械工程學系碩博士班
系所名稱(英) Department of Mechanical Engineering
學年度 95
學期 1
出版年 96
研究生(中文) 陳建廷
研究生(英文) Chien-Ting Chen
學號 n1693167
學位類別 碩士
語文別 中文
論文頁數 104頁
口試委員 指導教授-蔡南全
口試委員-李祖聖
口試委員-陳添智
中文關鍵字 磁浮軸承  系統鑑別 
英文關鍵字 Magnetic Bearing  System Identification 
學科別分類
中文摘要 傳統系統鑑別的方法,大多是在時域或頻域裡,對於量測訊號之分析而進一步作系統鑑別。 近幾年來,發展出許多使用時-頻域技巧:小波分析於系統鑑別領域的技術。 本論文旨在提出一利用Daubechies小波函數展開之系統鑑別理論,來鑑別出主動式四極磁浮軸承系統運動方程式之參數。 鑑別過程則是利用Daubechies小波基底展開系統運動方程式,並且在對應之子空間利用最小誤差平方觀念求解,同時與特徵系統實現運算法作一比較。 本文所提出之鑑別法則,藉由數值模擬與實際之系統,驗證其可行性。 本研究所使用之測試設備是以dSPACE DS-1104為主體所建立並且搭配MATLAB/Simulink程式語言。 由數值模擬及實驗結果可知:本論文所提出之小波鑑別理論具有較佳之收斂性及準確性。
英文摘要 Most traditional methods in system identification are based on the analysis of measured signal in either time or frequency domain. In recent years, some technologies in time-frequency domain which utilize wavelet analysis in the context of system identification were developed. The purpose of this thesis is to develop an algorithm based upon Daubechies wavelet expansions to identify unknown system parameters of the 4-pole active magnetic bearing systems (AMBs). The procedure stems from the equation of motion obtained by Daubechies wavelet and means of Least Squared Method. The wavelet identification method is compared with another populary-used method: Eigensysem Realization Algorithm (ERA). The proposed algorithms were examined by numerical simulations and experiments. The test rig is equipped with dSPACE DS-1104 and MATLAB/Simulink. The results of numerical simulations and experiments verify that the Wavelets System Identification Method has better efficacy in convergence and accuracy.
論文目次 中文摘要 I
英文摘要 II
致謝 III
目錄 IV
表目錄 VII
圖目錄 VIII

第一章 緒論 1

第二章 鑑別理論介紹 6
2.1 特徵系統實現運算法 6
2.1.1 系統馬可夫參數 7
2.1.2 特徵系統實現 8
2.2 小波理論概述 13
2.2.1 多尺度解析 13
2.2.2 Daubechies尺度函數 19
2.2.3 Daubechies尺度函數及小波函數之導函數 23
2.2.4 Daubechies尺度函數之動量值 25
2.2.5 Daubechies小波之聯結係數 28

第三章 主動式兩軸磁浮軸承之系統鑑別 32
3.1 磁浮軸承系統之運動方程式 33
3.2 磁浮軸承系統之參數鑑別 38
3.2.1 磁浮軸承系統之迴授 39
3.2.2 閉迴路磁浮軸承系統之系統鑑別 42
3.3 電腦模擬與分析 46
3.3.1 控制器與估測器之設計 46
3.3.2 特徵系統實現運算法之電腦模擬 48
3.3.3 小波函數鑑別理論之電腦模擬 49
3.3.4 雜訊影響下的系統鑑別 50

第四章 實驗與驗證 66
4.1 磁浮軸承系統硬體裝置 66
4.1.1 渦電流型間隙感測器校正 70
4.1.2 功率放大器輸入與輸出之關係 72
4.2 控制器設計與實驗結果討論 74
4.2.1 控制器設計與實現 74
4.2.2 實驗結果 75

第五章 結論與展望 88
5.1 結論 88
5.2 未來發展與建議 88

參考文獻 90

附錄A. 四極磁浮軸承系統磁力推導 93
A.1 電磁鐵之磁束(Flux)表示式 93
A.2 永久磁鐵之磁束(Flux)表示式 98
A.3 磁極之磁力表示式 100

自述 104
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