臺灣博碩士論文加值系統

本文主要是針對具未確定量奇異延遲系統，其中未確定量型式為範數有界(norm bo- unded) 架構，探討其強健穩定化與強健 性能的問題。首先利用線性矩陣不等式(LMI)的方法，分析一般奇異時間延遲系統的延遲相關穩定準則，使系統為正則、無脈衝和漸近穩定。接著以此準則為基礎，分別設計強健狀態回授控制器及基於觀察器狀態回授控制器，使其具未確定量奇異時間延遲系統強健穩定化。最後，本文令控制器參數 包含未確定量，且針對系統 性能，分別設計出強健彈性 狀態回授控制器，及基於觀察器強健彈性 狀態回授控制器。在推導過程中發現，本文比文獻更能簡單地求出控制器參數而不需使用疊代；而且藉由幾個數值模擬，本文所得幾個比較數據及響應也較文獻來的好。

The problems of delay-dependent robust stabilization and robust H∞ performance of uncertain singular systems with norm-bounded parametric uncertainty are studied in this thesis. Firstly, a delay-dependent stability criterion in terms of linear matrix inequalities (LMIs) for the nominal singular time-delay systems is established, which guarantees the system to be regular, impulse free and asymptotically stable. Secondly, based on this criterion, we design state feedback controllers and observered-based state feedback controllers respectively for uncertain singular time delay systems to guarantee the closed-loop systems are regular, impulse free and robustly stable. Then, we focus on H∞ performance of singular systems and design robust resilient H∞ state feedback controllers and robust resilient H∞ observer-based state feedback controller respectively. Finally, we give some examples to show that we can find controll-er parameters using a simpler method than that in the literature,and the simulated results are better than there.

摘 要............................................................................................i
Abstract.....................................................................................ii
誌 謝..........................................................................................iii
目 錄..........................................................................................iv
圖 目 錄.....................................................................................vi
表 目 錄...................................................................................viii
符 號 說 明................................................................................ix

第一章、緒論............................................................................1
1-1 文獻回顧與研究動機.........................................................1
1-2 論文章節概要.....................................................................3

第二章、問題描述與所需的定義和引理................................4
2-1 問題描述.............................................................................4
2-2 奇異系統相關的基本定義.................................................5
2-3 所需的引理.........................................................................8

第三章、奇異時間延遲系統延遲相關的穩定分析..............11

第四章、具未確定量奇異時間延遲系統穩定化..................18
4-1 狀態回授控制器設計.......................................................18
4-2 基於觀察器狀態回授控制器設計...................................25

第五章、具未確定量奇異時間延遲系統 H∞ 控制器設計..30
5.1 奇異時間延遲系統 H∞ 分析...........................................30
5.2 具未確定量奇異時間延遲系統 H∞ 控制器設計...........37
5.2.1 狀態回授 H∞ 控制器設計............................................37
5.2.2 基於觀察器狀態回授 H∞ 控制器設計........................43

第六章、數值模擬..................................................................48

第七章、結論與未來研究方向..............................................71
7.1 結論...................................................................................71
7.2 未來研究方向...................................................................71

參考文獻..................................................................................72

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