強健系統的穩定度分析與控制器設計

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姓名

謝文憲(Wen-Hsien Hsieh) 查詢紙本館藏

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電機工程學系

論文名稱

強健系統的穩定度分析與控制器設計
(Stability Analysis and Controller Design for Robust Systems)

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摘要(中)

本論文係研究系統之穩定性分析及穩定化控制設計，研究的範疇包含連續時間與離散時間兩大系統，系統中含有區間不確定量因子，是本文的主要探討。針對穩定性分析問題，而推導出新的條件，基於此條件，搭配狀態迴授來設計控制器，運用線性規劃方法來尋找控制器參數，便可應用於控制系統的穩定度設計上。最後以實際的系統為例，對此系統設計控制器，討論補償前與補償後系統性能的差異，經由模擬結果顯示，所設計的控制器是有效且容易的。

摘要(英)

This thesis is concerned with stability and stabilization of interval systems Both continuous-time and discrete-time are discussed. For stability analysis and stabilization problems of those systems, we derive some new conditions. Then based on these conditions, a linear programming method is applied to design controllers. Several examples, including compartmental systems and Leslie systems are given to demonstrate the effectiveness and applicability of the proposed methods.

關鍵字(中)

★ 強健系統

關鍵字(英)

★ Robust

論文目次

目錄
摘要........................................................................................................................I
Abstract.................................................................................................................II
致謝.....................................................................................................................III
目錄.....................................................................................................................IV
圖目錄..................................................................................................................V
第一章緒論.......................................................................................................1
1.1 研究動機................................................................................................1
1.2 論文架構................................................................................................1
第二章符號與定理...........................................................................................3
2.1符號.........................................................................................................3
2.2Gershgorin圓定理...................................................................................3
2.3漸進穩定性.............................................................................................5
2.4線性規劃.................................................................................................6
2.5結論.........................................................................................................6
第三章連續時間區間系統穩定度分析與控制器設計...................................7
3.1連續時間區間系統穩定度分析.............................................................7
3.2連續時間區間系統控制器設計..............................................................8
3.3舉例說明.................................................................................................9
3.4結論.......................................................................................................15
第四章離散時間區間系統穩定度分析與控制器設計.................................16
4.1離散時間區間系統穩定度分析...........................................................16
4.2離散時間區間系統控制器設計...........................................................17
4.3舉例說明...............................................................................................18
4.4結論.......................................................................................................25
第五章分區系統與Leslie系統的穩定性問題...............................................26
5.1分區系統的穩定性問題........................................................................26
5.1.1分區系統的概述...................................................................26
5.1.2分區系統的穩定性...............................................................27
5.2Leslie系統的穩定性問題.....................................................................30
5.2.1Leslie系統的概述................................................................30
5.2.2Leslie系統的穩定性............................................................31
5.4結論.......................................................................................................34
第六章結論.....................................................................................................35
參考文獻.............................................................................................................36

參考文獻

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指導教授

莊堯棠

審核日期

2017-7-27

推文