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研究生:李志偉
研究生(外文):Chin-Wei Li
論文名稱:不確定模糊模式控制系統之強健最佳靜態輸出回授控制
論文名稱(外文):Robust Optimal Static Output Feedback Control of Uncertain TS-Fuzzy-Model-Based Control Systems
指導教授:何文獻何文獻引用關係陳信宏陳信宏引用關係
指導教授(外文):Wen-Hsien HoShinn-Horng Chen
學位類別:碩士
校院名稱:國立高雄應用科技大學
系所名稱:機械與精密工程研究所
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2009
畢業學年度:97
語文別:中文
論文頁數:91
中文關鍵詞:強健穩定性T-S 模糊模型參數不確定量混合田口基因演算法矩陣測度線性矩陣不等式
外文關鍵詞:Stability RobustnessTakagi-Sugeno Fuzzy ModelParameter UncertaintiesHybrid Taguchi-Genetic AlgorithmMatrix measureLinear Matrix Iinequalit
相關次數:
  • 被引用被引用:4
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  • 下載下載:11
  • 收藏至我的研究室書目清單書目收藏:0
本論文研究針對T-S模糊模式系統中具有個別元素不確定量之輸出回授控制系統來做分析。在本文中提出三種不同強健穩定定裡結合T-S模糊數學模型、正交函數法和混合田口基因演算法,建立一套方法來設計強健最佳靜態輸出回授控制器。首先將非線性系統利用T-S模糊數學轉換為模糊規則的線性動態模型,再利用強健穩定條件二次積分性能指標最小化,並利用混合田口基因演算法來搜尋不確定之模糊控制系統之最佳靜態輸出回授控制器參數值,再探討三個強健穩定定理的保守性與強健性。以整合演算法可大大的簡化強健最佳控制器的設計問題,最後以質量-彈簧-阻尼機械系統模擬來驗證我們方法的有效性。
In this thesis, we present an integrative algorithm to analyze the static output feedback for the TS-fuzzy-model-based control systems with uncertain parameters is our objective. By combining the TS fuzzy model with robust stable conditions, and the quadratic finite-horizon integral performance, we can design a robust optimum controller with the orthogonal function method and hybrid Taguchi genetic algorithm.
First, nonlinear control systems are transformed TS fuzzy rules into a fuzzy linear dynamic models, then, three robust stability conditions are proposed and combined with the quadratic integral performance index to achieve the optimal control. Next we use hybrid Taguchi genetic algorithm to search the robust optimal controller. Finally, we compare the conservation of these three robust stability condition for validating our proposed approach.
目錄

第一章 緒論...................................................................................................................1
1.1 研究動機與文獻回顧........................................................................................1
1.2 論文架構............................................................................................................4

第二章 強健穩定性分析...............................................................................................6
2.1 強健穩定條件推導............................................................................................6
2.1.1 強健穩定定理一.................................................................................11
2.1.2 強健穩定定理二.................................................................................16
2.1.3 強健穩定定理三.................................................................................19

第三章 強健最佳靜態輸出回授控制器設計.............................................................25
3.1 最佳化設計之基礎數學理論..........................................................................25
3.1.1 二次式有限時間積分性能指標.........................................................25
3.2 強健最佳輸出回授控制器設計......................................................................27

第四章 混合式田口基因演算法.................................................................................34
4.1 基因演算法介紹..............................................................................................34
4.1.1 基本概念.............................................................................................34
4.1.2 個體產生與初始族群.........................................................................35
4.1.3 適應函數設定.....................................................................................35
4.1.4 複製選擇機制.....................................................................................36
4.1.5 交配.....................................................................................................36
4.1.6 突變.....................................................................................................37
4.2 田口實驗設計方法介紹..................................................................................39
4.2.1 基本概念.............................................................................................39
4.2.2 直交表的探討.....................................................................................41
4.2.3 望小特性的參數設計.........................................................................43
4.3 混合田口基因演算法......................................................................................44
4.3.1 實驗參數設定.....................................................................................47
4.3.2 編碼與初始族群.................................................................................47
4.3.3 適應函數設計.....................................................................................48
4.3.4 複製選擇.............................................................................................48
4.3.5 交配、突變與田口法的關係.............................................................49
4.3.6 終止條件.............................................................................................50
4.3.7 混合田口基因演算法的步驟.............................................................50

第五章 案例模擬結果與分析.....................................................................................52
5.1 定理一之案例模擬結果與分析......................................................................54
5.2 定理二之案例模擬結果與分析......................................................................67
5.3 定理三之案例模擬結果與分析......................................................................69
5.4 保守度與強健性質探討..................................................................................80

第六章 結論.................................................................................................................84
參考文獻.........................................................................................................85
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