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研究生:郭憲睿
研究生(外文):Sian-Ruei Kuo
論文名稱:通訊系統之複雜不確定時間延遲模型之強健分散式控制器設計
論文名稱(外文):Robust Decentralized Controller Design of Complex Uncertain Time-delayed Modes of Communications System
指導教授:李慶祥李慶祥引用關係
指導教授(外文):Ching-Hsiang Lee
學位類別:碩士
校院名稱:國立高雄應用科技大學
系所名稱:電機工程系
學門:工程學門
學類:電資工程學類
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:70
中文關鍵詞:時間延遲未確定量穩定度線性矩陣不等式
外文關鍵詞:time-delayuncertaintystabilizationlinear matrix inequality(LMI)
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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 i
Abstract ii
目錄 iii
表目錄 iv
圖目錄 iv
符號說明 v
第一章、 緒論 1
1-1 研究動機與文獻回顧 1
1-2 論文結構 2
第二章、 問題描述與引理介紹 3
2-1 不確定複雜時間延遲系統 3
2-2 控制目標 4
2-3 引理介紹 5
第三章、 穩定度條件之建立 6
3-1 穩定度條件之建立 6
3-2 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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[5]H. Nie, P. Li, Z. Song and J. Zhao, “Decentralized H∞ Robust Stability for Switched Uncertain Nonlinear Time-delay Composite Systems,” ICAL 2008 IEEE International Conf. on Automation and Logistics, pp. 902-907, Sept. 2008.

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[8]Sandip Ghosh, Sarit K. Das and G. Ray, “Decentralized Stabilization of Uncertain Systems With Interconnection and Feedback Delays: An LMI Approach,” IEEE Transactions on Automatic Control, Vol. 54, Issue 4, pp. 905-912, Apr., 2009.

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Uncertain Time-delay Systems,” Automatica, Vol. 35, pp. 1155-115, 1999.

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