H_infinity 取樣模糊系統的觀測型控制

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謝禮存(Li-Tsun Hsieh) 查詢紙本館藏

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機械工程學系

論文名稱

H_infinity 取樣模糊系統的觀測型控制

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摘要(中)

本篇論文主要分成三個部分來說明:第一部分講述系統及即時觀測器的數學模型，針對模糊理論可以處理非線性系統，
將原始系統精確的轉換為 Takagi-Sugeno (T-S) 模糊模型，之後又將 (T-S)模糊系統模型轉換成含有跳躍的模糊系統架構;
第二部分根據第一部分得到的含有跳躍的模糊系統架構和即時觀測器模型，分別推導出使系統穩定和滿足 H_infinity 性能指標的條件;
第三部分則對推導出的結果作電腦模擬，設計即時觀測器。

關鍵字(中)

★ 取樣系統
★ 觀測型回饋控制
★ 線性矩陣不等式
★ (T-S) 模糊模型

關鍵字(英)

論文目次

論文摘要.............I
誌謝.................II
圖目.................VII
第一章簡介..........1
1.1 文獻回顧.........1
1.2 研究動機.........2
1.3 論文結構.........3
1.4 符號標記.........3
1.5 預備定理.........4
1.5.1 預備定理1(蕭式轉換)...4
1.5.2 預備定理2(全等轉換)...4
第二章無干擾系統架構與數學模型...5
2.1 系統的數學模型...5
2.2 數位控制器數學模型...6
2.3 跳躍的取樣模糊系統...7
第三章即時觀測器和穩定條件...9
3.1 即時觀測器數學模型...9
3.2 即時觀測器...........9
3.3 閉迴路系統...........11
3.4 穩定條件.............12
第四章非線性系統電腦模擬...19
4.1 非線性系統數學架構...19
4.2 求解.................20
第五章含有干擾的系統架構與數學模型...27
5.1 系統的數學模型.......27
5.2 數位控制器數學模型...28
5.3 跳躍的取樣模糊系統...29
第六章即時觀測器和穩定條件...........31
6.1 即時觀測器數學模型...31
6.2 即時觀測器...........31
6.3 閉迴路系統...........32
6.4 H_infinity 性能指標.34
6.5 滿足 H_infinity 性能指標之充分條件...35
第七章電腦模擬..........46
7.1 蔡式電路系統例子.....46
7.1.1 數學架構...........46
7.1.2 求解...............48
7.2 倒單擺系統例子.......62
7.2.1 數學架構...........62
7.2.2 求解...............64
第八章結論與未來方向....74
8.1 總結.................74
8.2 未來研究方向.........75
參考文獻.................76

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指導教授

羅吉昌(Ji-Chang Lo)

審核日期

2005-6-28

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