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論文名稱 Title |
不確定間時廣義系統根叢集在圓內之強韌
H-infinite 設計:嚴格線性矩陣不等式法
Robust H-infinite Design for Uncertain Discrete Descriptor Systems with Pole-Clustering in a Disk:A Strict LMI Approach |
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系所名稱 Department |
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畢業學年期 Year, semester |
語文別 Language |
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學位類別 Degree |
頁數 Number of pages |
60 |
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研究生 Author |
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指導教授 Advisor |
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召集委員 Convenor |
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口試委員 Advisory Committee |
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口試日期 Date of Exam |
2002-07-09 |
繳交日期 Date of Submission |
2002-07-10 |
關鍵字 Keywords |
強韌 H-infinite 控制、根叢集、嚴格線性矩陣不等式、間時廣義系統 Strict LMI, Discrete-time descriptor systems, Robust H-infinite control, Pole-clustering |
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統計 Statistics |
本論文已被瀏覽 5663 次,被下載 2365 次 The thesis/dissertation has been browsed 5663 times, has been downloaded 2365 times. |
中文摘要 |
本論文對間時廣義系統提出一以嚴格線性矩陣不等式為條件的界實引理。與已有的非嚴格線性矩陣不等式的條件相比,此一新的條件較便利於數值計算及方便使用Matlab的LMI Control Toolbox來作模擬設計。根據此一結果,文中進一步探討以狀態迴授設計 H-infinite 控制的問題。吾人推得一以嚴格線性矩陣不等式為充份條件的結果,根據它的解以便建構出符合閉迴路系統設計準則的迴授增益矩陣。更進一步地,我們探討了不確定間時廣義系統的強韌 H-infinite 控制及根叢集在所指定圓內的問題。我們分別針對具有非時變範數有界的不確定量及凸多邊形不確定量的兩類不確定系統,亦推得一些以嚴格線性矩陣不等式為充份條件的分析及設計結果。文末並舉例說明之。 |
Abstract |
This thesis presents strict LMI conditions for the bounded real lemma of discrete descriptor systems. Compared with existing nonstrict LMI conditions, the proposed new conditions are more tractable and reliable in numerical computations, in the sense that they can be tested easily by using the LMI Control Toolbox of Matlab. Based on the strict LMI conditions, the state feedback design for H-infinite control problem is also addressed. A sufficient LMI condition is derived so that the constructed feedback gain matrix from its solution will meet the design criteria of the closed-loop systems. Furthermore, we can probe into the problems of robust H-infinite control and pole-clustering in a disk for uncertain discrete descriptor systems subject to time-invariant norm-bounded uncertainty and convex polytopic uncertainty in the state matrix, respectively. Some sufficient LMI conditions are derived for analysis and design of these problems as well. Numerical examples are included to illustrate the results. |
目次 Table of Contents |
摘要 i 符號表 v 第一章 緒論 1 1-1節 文獻回顧與研究動機 1 1-2節 論文綱要 3 第二章 間時廣義系統之界實引理及根叢集在圓內之分析 4 2-1節 間時廣義系統之基本性質 4 2-2節 間時廣義系統之界實引理 7 2-3節 間時廣義系統根叢集在圓內之限制 8 第三章 不確定間時廣義系統根叢集在圓內之強韌 H-infinite 分析 9 3-1節 以嚴格線性矩陣不等式為條件之界實引理 9 3-2節 根叢集在圓內及 H-infinite 限制之分析 17 3-3節 範數有界的不確定系統 21 3-3-1節 強韌 H-infinite 分析 22 3-3-2節 根叢集在圓內之強韌 H-infinite 分析 23 3-4節 凸多邊形不確定系統 25 3-4-1節 強韌 H-infinite 分析 26 3-4-2節 根叢集在圓內之強韌 H-infinite 分析 30 第四章 狀態迴授控制器設計 33 4-1節 間時廣義系統之 H-infinite 設計 33 4-2節 範數有界的不確定系統 37 4-2-1節 強韌 H-infinite 設計 37 4-2-2節 根叢集在圓內之強韌 H-infinite 設計 39 4-3節 凸多邊形不確定系統 41 4-3-1節 強韌 H-infinite 設計 41 4-3-2節 根叢集在圓內之強韌 H-infinite 設計 43 第五章 數值模擬 44 第六章 結論 56 參考文獻 57 索引 60 |
參考文獻 References |
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