臺灣博碩士論文加值系統

本論文提出時域規格轉換至頻域規格，以及頻域規格轉換至時域規格之方法，這種轉換常用於QFT之設計。本論文之研究重點係在於提出三階含雙零點(3,2)系統轉移函數模式，時域規格轉換至頻域規格以行QFT之設計工作。再加上二階系統與三階系統模式，從頻域規格轉換至時域規格設計之研究，從研究中將發現，(3,2)系統模式在行QFT設計時，的確優於(3,1)系統，且(3,1)系統優於(3,0)系統，三階系統優於二階系統。
本論文使用轉換方法，將時域規格轉換為頻域規格，有了頻域規格，QFT設計就步入正軌了，從此進行頻域領域的設計工作，最後將所設計之系統，再求取其時域響應，期能符合時域規格之要求。再者在頻域中設計頻域規格，再轉換至時域規格之時域暫態響應中，再藉由轉換得來的時域規格，在轉換至頻域響應中進行QFT之設計。
在三階含雙零點(3,2)系統模式，如選取一個零點在負實軸很遠處，則其時域與頻域規格轉換結果與三階含單零點(3,1)系統模式相同，再者選取另一個零點在負實軸很遠處，則其時域與頻域規格轉換結果與三階全極點(3,0)系統模式相同，如選取一個極點在負實軸很遠處，則其時域與頻域規格轉換結果與二階全極點(2,0)系統模式相同。由模擬結果顯示，更可加以鑑定所有推導過程與結果無誤。

A procedure is provided for transformation of time specifications in QFT design to frequency specification, The main result of the thesis is on translation of time-domain tolerances into frequency-domain tolerances by third-order model with two zero (3,2) system transfer function, We also transfer frequency-domain tolerances into equivalent time response tolerances that include second-order system and third-order system.
In third-order model with two zero (3,2) system, if we choose the zero far-off on the negative real axis, the result is the same as third-order model with single zero (3,1) system, then we also choose another zero far-off on the negative real axis, the result is the same as third-order model with single zero (3,0) system. If we choose the real pole far-off on the negative real axis, the result is the same as second-order model with all poles (2,0) system.

目錄
中文摘要……………………………………………………………………..Ⅰ
英文摘要……………………………………………………………………..Ⅱ
誌謝…………………………………………………………………………..Ⅲ
目錄…………………………………………………………………………..Ⅳ
符號說明……………………………………………………………………..Ⅵ
圖表說明……………………………………………………………………..Ⅸ
第一章緒論……………………………………………………………….1
1.1量化迴授理論(QFT)…………………………....………………………2
1.2系統規格轉換…………………………………………...……………..5
1.3系統時域與頻域規格………………………………………...………..5
1.4規格轉換步驟概述…….…………………………...………….……..6
第二章時域規格轉換到頻域規格的三階含雙零點(3,2)控制系統…..8
2.1 二階全極點(2,0)系統模式……………………………………….....8
2.2三階含雙零點(3,2)模式…………………………………………......11
2.3區域規格(時域)……………………………………….…………......14
2.4區域規格轉換…………………………………..……………….......14
2.4.1 10%上昇時間規格轉換….........14
2.4.2 90%上昇時間規格轉換…………….15
2.4.3 5%安定時間( ) 規格轉換…………17
2.5計算流程………………………………….…..…..…………......…18
2.6驗證………………………………..…………………….....…………18
2.7 轉換實例與模擬結果………………………………………....………21
第三章 頻域規格轉換至時域響應的二階系統模式……………………….29
3.1 區域頻域規格轉換……………………………………………....……29
3.2 (2,0)系統模式頻域規格……………………………………………...29
3.3 轉換實例與模擬結果……………………….…………………….....32
3.4 含單零點(2,1)系統模式………………………..…………………...41
3.5 限制條件與驗證……………………….…………………….……....42
3.6 轉換實例與模擬結果……………………….…………………….....43
3.7 分析與討論……………………………….……………………….....50
第四章 頻域規格轉換至時域響應的三階系統模式……………………….51
4.1 區域頻域規格轉換……….…………………………..……………...53
4.2 (3,0)系統模式頻域規格………………….……..……………………53
4.3 決定限制條件與證明………………….…………..……..………...55
4.4 轉換實例與模擬結果………………….…………..………..……...56
4.5 (3,1)系統模式頻域規格………………….…………….………….…64
4.6 驗證一………………….………………………………………….....66
4.7 轉換實例與模擬結果………………….…………..…..……….....68
4.8 (3,2)系統模式頻域規格………………….…………………………..78
4.9 驗證二………………….……………………….…………………....81
4.10 轉換實例與模擬結果………………….………………..………....85
4.11 三階系統模式下之分析…………………..………………………...94
第五章結論與未來研究方向………………….……………….………99
參考文獻………………………………….…………………………………101

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