時延擾動系統分析及設計

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賴佳偉(Jian-Wei Lai ) 查詢紙本館藏

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電機工程研究所

論文名稱

時延擾動系統分析及設計

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摘要(中)

在本論文中，主要是針對擾動之時延系統作分析。由於在實際的環境中，不管儀器再精密或是情況再理想，一定有不可避免的干擾或是參數的變動，而且，幾乎都有時間延遲的問題。
擾動的來源主要是由於下述幾種原因：系統的非線性關係，為了簡單起見而簡化原來較複雜的系統所帶來的誤差問題、系統參數的變動、周遭客觀環境的改變、不可避免的資料誤差等等都是可能的擾動原因。
除了擾動問題外，另一種可能使系統的穩定性降低的就是時間延遲的存在。時間延遲不僅發生在物理、工程或化學等方面的系統，同時也可能出現在政治或經濟方面等之系統。因為由於時間延遲的出現改變了系統的特性方程式，因此要解決上述系統由於時間延遲的介入也就變得非常複雜了。
因此，如通訊系統、化工程序、電力系統、運輸系統等，皆是擾動時延系統的例子。本文主要針對一個線性相依的擾動時延系統做穩定性的評估與探討，主要分成兩方面內容如下：
（1）非結構化擾動時延系統
（2）結構化擾動時延系統
本文在擾動時延系統穩定度分析中，主要採用Lyapunov Stability Theorem, Matrix Measure Function 及 Kharitonov Theorem等方法來改進先前對非結構化及結構化擾動時延系統的穩定性分析及探討，並對時延擾動系統作迴授控制器設計，使我們對此系統能更確認系統的穩定度。
本論文的研究主要就是對上述的狀況作一較完整的分析與設計。我們期望能夠得到一個較佳的穩定準則及較精確的條件，並設計控制器增加系統的穩定度。

摘要(英)

In this thesis, we deal with the time-delay system with uncertainty. We comment on the previous papers [5], [9] and modify the results. Besides, we present better criteria which are proven to be less conservative than previous results in the literatures. Besides, we present other stability criteria which can deal with different systems. The feedback controller can be designed by optimal method. Kharitonov theorem and edge theorem can help us to reduce the calculation. As a result, we obtained the allowable delay time for the system with unstructured and highly structured uncertainty and designed a feedback controller to further ensure its stability

關鍵字(中)

★ 控制系統
★ 擾動
★ 時延

關鍵字(英)

論文目次

摘要 ………………………………………………………Ⅰ
目錄 ………………………………………………………Ⅲ
第一章
緒論 ……………………………………………Ⅳ
第二章
非結構化擾動時延系統之穩定性分析 ………Ⅴ
第三章
結構化擾動時延系統之穩定性分析 …………Ⅵ
第四章
時延擾動系統迴授控制器設計 ………………Ⅶ
第五章
結論 ……………………………………………Ⅷ
CONTENTS
CHAPTER 1 Introduction 1
1.1 Motivation ……………………………………………..……………………..1
1.2 Literature Survey ………………………………………..……………………1
1.3 Organization of this thesis ………………………………..…………………..2
CHAPTER 2 Robust stability criteria for the linear time-delay systems with unstructured uncertainties 4
2.1 Introduction …………………………………………………………………..4
2.2 Problem Formulation …………………………………………………………4
2.3 Comment on previous stability criteria ………………………………………5
2.4 Other stability criteria for linear uncertain systems with unstructured
uncertainty ……………………………………………………………………8
2.5 Conclusions …………………………………………………………………12
CHAPTER 3 Robust stability criteria for the linear time-delay systems with highly structured uncertainties 13
3.1 Introduction …………………………………………………………………13
3.2 Problem Formulation ……………………………………………………….13
3.3 An improved stability criterion for linear time-delay systems with highly structured uncertainties ……………………………………………………..14
3.4 Other stability criteria for interval time-delay systems with highly structured
uncertainties …………………………………………………………………18
3.5 Examples ……………………………………………………………………24
3.6 Conclusions …………………………………………………………………26
CHAPTER 4 Design of feedback controller with uncertainty and time delay 27
1.1 Introduction …………………………………………………………………27
1.2 Problem Formulation ………………………………………………………..27
1.3 Examples ……………………………………………………………………28
1.4 Conclusions …………………………………………………………………33
CHAPTER 5 Conclusions 42

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指導教授

莊堯棠(Yau-Tarng Juang)

審核日期

2001-5-31

推文