廣義H2模糊控制-連續系統 線性分式轉換法

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侯士偉(Shih-Wei Hou) 查詢紙本館藏

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機械工程學系

論文名稱

廣義H2模糊控制-連續系統線性分式轉換法

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★ H∞模糊控制－連續系統線性分式轉換法	★ H∞模糊控制—離散系統線性分式轉換法
★ 強健模糊動態輸出回饋控制-Circle 與 Popov 定理	★ 強健模糊觀測狀態回饋控制-Circle與Popov定理
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★ 寬鬆耗散性模糊控制-波雅定理	★ 耗散性估測器-波雅定理

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摘要(中)

本篇論文可分為兩大部分來進行討論，以不同形式的控制條件來研究相同系統的控制問題，其中第一部份是以三階 (cubic) 的形式來進行系統的分析與研究，而第二部份則是以二階 (quadratic) 的形式來對系統進行分析討論，其中兩者都是以蕭氏轉換 (Schur complement) 及全等轉換 (congruence transformation) 的方式對控制問題進行轉換之後的分析與推導。
論文中所研究的是一個含有分式項的模糊系統控制問題，以線性分式轉換 (Linear fractional transformation, LFT) 為架構的動態輸出回饋控制器來使其穩定，並滿足廣義H2 (Generalized H2) 性能指標的要求。其分析最主要的方式是應用全等轉換的技巧來進行控制器的分析與設計，使含有分式項的模糊系統能達到穩定並滿足廣義 H2 的性能指標問題。在這個部分中，我們將控制器的架構以三階與二階兩種不同形式的方式表現出來。經過全等轉換之後，我們分別可以得到兩組線性矩陣不等式 (Linear matrix inequalities, LMIs) 來對原本的控制問題求解。除了上述兩個線性矩陣不等式外，我們還要考慮比例條件 (scaling condition) 的限制。然後，以一個球桿系統的例子來進行電腦模擬。最後舉一個含有不確定項的模糊系統來印證 LFT模糊系統是可以用來討論含有不確定項的模糊系統，以質簧系統的例子來進行電腦模擬分析。

摘要(英)

關鍵字(中)

★ 線性矩陣不等式
★ 廣義H2
★ T-S模糊模型
★ 線性分式轉換法

關鍵字(英)

★ LMIs
★ Generalized H2
★ T-S fuzzy model
★ LFT

論文目次

第一章簡介
1.1 文獻回顧
1.2 研究動機
1.3 論文結構
1.4 符號標記
第二章三階數學模型與廣義H2性能指標
2.1 數學模型
2.2 廣義H2性能指標
第三章三階LFT動態輸出回饋控制器的設計
3.1 廣義H2性能條件
3.2 廣義H2性能寬鬆條件
第四章球桿系統例子
4.1 球桿系統數學架構
4.2 球桿系統求解
第五章二階數學模型與廣義H2性能指標
5.1 數學模型
5.2 廣義H2性能指標
第六章二階LFT動態輸出回饋控制器的設計
6.1 廣義H2性能條件
6.2 廣義H2性能寬鬆條件
第七章球桿系統例子
7.1 球桿系統數學架構
7.2 球桿系統求解
第八章特殊情況數學模型與廣義H2性能指標
8.1 數學模型
8.2 廣義H2性能指標
8.3 廣義H2性能條件
第九章質簧系統例子
9.1 質簧系統數學架構
9.2 質簧系統求解
第十章結論與未來研究方向
10.1 總結
10.2 未來研究方向

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指導教授

羅吉昌(Ji-Chang Lo)

審核日期

2003-6-25

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