臺灣博碩士論文加值系統

本論文針對T-S模糊系統，探討以觀測器為基礎的H∞控制問題，以Lyapunov function的精神做為推導的基礎，文獻上以觀測器為基礎的 控制問題會遇到非線性矩陣不等式，必須藉由二步驟的求解程序，才能藉由線性矩陣不等式之技術求解，導致解集合過於保守，本論文提出了藉由混合式田口基因演算法，搜尋最佳化的控制器增益以及觀測器增益，將待求的控制器增益以及觀測器增益，假設成非變數，且數值落在以知區間內，使非線性矩陣不等式轉換成線性矩陣不等式，避免二步驟求解的缺點，不僅化簡推導的繁瑣，也降低了觀測器輸出
回授H∞控制器設計條件之保守度。

This thesis deals with observer-based H∞ control problem for T-S fuzzy systems .
By using Lyapunov stability analysis as the basis for derivation. literature on the observer-based control issue will encounter nonlinear matrix inequalities, must be solved by two-step procedure, lead to the solution set is too conservative. In this thesis, by using hybrid Taguchi genetic algorithm to search optimization controller gain and observer gain, the unknown controller gain and observer gain is assumed as nonvariable, the nonlinear matrix inequalities into linear matrix inequalities, avoid the shortcomings of two-step procedure.

目錄
摘 要 I
ABSTRACT II
目錄 III
圖目錄 V
表目錄 VI
符 號 說 明 VII
一、緒論 1
1-1文獻回顧與研究動機 1
1-2田口基因演算法簡介 2
1-2-1基因演算法 2
1-2-1-1初始染色體的產生 2
1-2-1-2選擇與複製 3
1-2-1-3交配 4
1-2-2田口實驗法 5
1-2-2-1直交表 7
1-3-2-2訊號雜訊比(S/N) 9
1-3-3田口基因法 9
1-3論文章節與安排 11
二、問題描述與所需的引理 12
2-1 問題描述 12
2-2 所需的引理 13
三、以觀測器為基礎之H∞控制器設計 14
（觀測器含有系統雜訊項） 14
3-1 問題描述及文獻回顧 14
3-2 基於田口基因法的H∞模糊控制條件之建立 17
3-3 數值模擬 22
四、以觀測器為基礎之H∞控制器設計 31
（觀測器不含系統雜訊項） 31
4-1 問題描述及文獻回顧 31
4-2基於田口基因法的H∞模糊控制條件之建立 32
4-3 數值模擬 37
五、以觀測器為基礎之H∞控制器設計 45
（系統含不確定量且觀測器不含系統雜訊項） 45
5-1 問題描述與文回顧 45
5-2基於田口基因法的強健H∞模糊控制條件之建立 48
5-3 數值模擬 54
六、結論 56
參考文獻 57















圖目錄
圖1.1 輪盤選擇 4
圖1.2 田口實驗設計法參數設計圖 6
圖1.3 混合式田口基因演算法流程圖一 10
圖1.4 混合式田口基因演算法流程圖二 11
圖3.1 範例3.1的誤差響應圖 23
圖3.2 範例3.1的受控輸出訊號Z(T)之響應及干擾訊號W(T)響應圖 24
圖3.3 範例3.2的誤差響應圖 27
圖3.4範例3.2的受控輸出訊號Z(T)之響應及干擾訊號W(T)響應圖 28
圖3.5範例3.3的受控輸出訊號Z(T)之響應響應圖 30
圖4.1 範例4.1的狀態響應圖 38
圖4.2 範例4.1的誤差響應圖 39
圖4.3 範例4.1的受控輸出訊號Z(T)之響應及干擾訊號W(T)響應圖 40
圖4.4 範例4.2的狀態響應圖 42
圖4.5 範例4.2的誤差響應圖 43
圖4.6 範例4.2的受控輸出訊號Z(T)之響應及干擾訊號W(T)響應圖 44
圖5.1 範例5.1的狀態、誤差、受控輸出訊號Z(T)之響應及干擾訊號W(T)響應圖 55

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