臺灣博碩士論文加值系統

本論文討論的一種具備快速計算和精確性的理論，第二型模糊邏
輯系統，它能掌握線性類比電路量測的不確定性，目的是去精確地估
算電路的故障元件值。 第二型模糊規則是同時包含了，待測電路的
錯誤和正常情況的電路行為描述，然後去對錯誤的元件值作估算。
根據以往的經驗結果，我們可以發現之前的模糊技術(第一型模糊邏
輯系統)在錯誤值估算上已經是成功的。但是第一型模糊邏輯系統在
處理不確定性變數方面比較單調，所以我們使用第二型的模糊函數去
處理更大的不確定性。
我們將第二型模糊邏輯應用於兩個實際應用：類比電路故障診斷
和適應性模糊控制。其中在前者討論到狀態變數濾波器電路和四階跳
躍濾波器電路兩個範例，而後者也有倒單擺系統和彈簧阻尼系統兩
個實例模擬。最後經過模擬的結果，我們可以證明第二型模糊邏輯系
統的確比第二型模糊邏輯系統更適合處理類比電路量測的不準確以
及系統內部參數的不確定性。

In this thesis, we propose a computationally fast and accurate methodology based on type-2 fuzzy logic system (T2FLS) which can handle measurement uncertainties for linear analog circuits. In order to evaluate the values of the faulty components accurately, type-2 fuzzy rule bases is adopted to describe the behavior of the circuit under test (CUT) both in fault and fault free circumstances and to calculate the faulty element values. From the experiment result, we can find the advanced fuzzy technique (type-1 fuzzy logic system) is succeeded in fault elements estimation.
Type-2 fuzzy logic system is applied to two practical applications
that analog circuits fault diagnosis and adaptive fuzzy control. In order to confirm the validity and performance of the advocated design methodology. Two examples, the state-variable active filter and 4th order leapforg filter are given for analog circuit fault diagnosis. On the other
hand, two examples, inverted pendulum system and mass-spring-damper system are given for adaptive fuzzy tracking control.

誌謝…………………………………………………………………….….…i
中文摘要………………………………………………………………….…ii
Abstract……………………………………………………………………..iii
目錄 …………………………………………………………………………iv
圖目錄……………………………………………………………..………..vi
表目錄…………………...……………………………………………….....ix
第一章 序論…………………………………………..…………………….1
1.1 研究動機與目的………………………………...……….……1
1.2 論文架構……………………………………………………....3
第二章 第一型與第二型模糊邏輯系統理論...............……………………4
2.1 模糊邏輯理論…………………………………………..…….4
2.1.1 傳統模糊邏輯…………………...………...…………...4
2.1.2 第二型模糊邏輯…………………………………...…..5
2.2 模糊推論運算…………………………………...…………….7
2.2.1 傳統模糊推論運算.………………………………...….7
2.2.2 第二型模糊推論運算…………….………….…….…10
第三章 應用第二型模糊邏輯系統對於類比電路故障診斷……..…...…16
3.1 類比電路診斷流程簡介………………………………….….16
3.2 範例一：狀態變數濾波器……………………………….….18
3.3 範例二：四接跳躍濾波器………………………………..…27
第四章 適應性強健第二型模糊控制策略設計…………………….…....35
4.1 簡介…………………………………………………………..35
4.2 非線性系統控制討論……………………………………….35
4.3 適應性模糊控制理論……………………………………….37
4.4 間接型適應性模糊系統 追跡策略設計………………...38
4.5 直接型適應性模糊系統 追跡策略設計…………...……42
4.6 間接/直接混合型適應性模糊系統 追跡效能設計……..45
第五章 適應性模糊 控制器設計實例模擬……………….………..…50
5.1 範例一：倒單擺系統…………………….………………….50
5.2 範例二：彈簧阻尼系統…………………………..…………64
第六章 結論與未來展望…………………….……………………………74
6.1 結果討論……………………………………...……………...74
6.2 未來展望……………………………………………...……...75
參考文獻……………………………………………...…………………....76

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