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 本文針對通訊系統之不確定複雜時間延遲模型，來設計分散式狀態回授控制器。文中同時考慮狀態和輸入的時間延遲，並採用了文獻[22]和[23]中新提出的李亞普諾夫函數 ( Lyapunov- Krasovskii functional ) 為基礎，並妥善運用了Schur Complement和文獻[12,19]中所提出的引理，結合零項，提出了一個較少保守度的線性矩陣不等式之方法來求解。最後，吾人附上數值模擬的例題，驗證本論文方法的可行性。
 The problem of designing decentralized state feedback controller for a class of complex uncertain time-delay models of large scale communication systems is studied in this thesis. Based on the new Lyapunov-Krasovskii functional adopted in [22] and [23], the lemmas in the litarature [12, 19], and, properly adding the “zero terms”, we offer an alternated design method. Less conservative delay-independent linear matrix inequality (LMI) criterions are obtained compared to the litarature. Practical examples are also given to illustrate the effectiveness of the proposed approach.
 目錄摘要 iAbstract ii目錄 iii表目錄 iv圖目錄 iv符號說明 v第一章、 緒論 11-1 研究動機與文獻回顧 11-2 論文結構 2第二章、 問題描述與引理介紹 32-1 不確定複雜時間延遲系統 32-2 控制目標 42-3 引理介紹 5第三章、 穩定度條件之建立 63-1 穩定度條件之建立 63-2 數值模擬 47第四章、 結論 57參 考 文 獻 58表目錄表1 以定理3.1求得之控制器增益 49表2 以定理3.2求得之控制器增益 54圖目錄圖1. 系統x1開路狀態響應圖 49圖2. 系統x2開路狀態響應圖 50圖3. 應用定理3.1求得之系統x1狀態響應圖 50圖4. 應用定理3.1求得之系統x2狀態響應圖 51圖5. 系統x1開路狀態響應圖 54圖6. 系統x2開路狀態響應圖 55圖7. 應用定理3.2求得之系統x1狀態響應圖 55圖8. 應用定理3.2求得之系統x2狀態響應圖 56
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 1 多重時變延遲並聯大系統延遲相關分散控制器設計 2 不確定複雜時間延遲系統之分散式狀態回授控制設計 3 具未確定量奇異時間延遲系統延遲相關之控制器設計 4 線性時間延遲系統之強健穩定化：線性矩陣不等式的方法 5 時延系統穩定化之強健控制分析研究 6 具有狀態延遲與輸入延遲的不確定線性系統之H∞積分滑動模式控制器設計 7 多重時間延遲奇異系統之強健H∞控制器設計 8 不確定量奇異時間延遲系統延遲相關之強健H∞控制器設計 9 具有狀態和輸入時變延遲之大型電力系統之強健控制器與狀態觀察器設計 10 具未確定量線性狀態和輸入時變延遲系統之狀態觀察器與強健控制器設計 11 具參數擾動時間延遲網路控制系統之強健穩定度研究 12 非線性動態系統穩定度及同步之研究 13 動態估測器用於不確定線性狀態時間延遲系統之強健控制 14 時延通訊通道之有限脈波響應等化器設計-線性矩陣不等式 15 使用線性矩陣不等式法探討時延系統的強健控制

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 1 多重時變延遲並聯大系統延遲相關分散控制器設計 2 不確定量奇異時間延遲系統延遲相關之強健H∞控制器設計 3 自動倉儲台車獨立車輪同步位置之準確度改善 4 基於替續器回授之系統識別與控制器設計 5 不確定描述系統強韌可容許性分析與設計之改善 6 模糊控制系統穩定化及強韌H∞控制-模糊李雅普諾夫函數 7 雲端運算服務的服務品質指標及權重之研究 8 大專校院學生自我決定、職涯發展能力認知及學習環境滿意度對職涯承諾之相關研究 9 具不確定量奇異多重時間延遲系統之延遲相關強健H∞控制器設計 10 南科地下電纜遮蔽層接地系統特性模擬與分析 11 多重時間延遲奇異系統之強健H∞控制器設計 12 重點用戶服務管理資訊系統設計之研究 13 多階變流器建構之靜態同步補償器於電力系統虛功補償之應用 14 應用多脈波變流器於組合式功率潮流控制器之研究 15 直流捷運系統之軌道電位升與洩漏電流的研究

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