順序特徵結構設計研究及其應用在特徵模子去耦合與最小特徵值靈敏度

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廖團訓(Tuai-Shu Lai) 查詢紙本館藏

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電機工程學系

論文名稱

順序特徵結構設計研究及其應用在特徵模子去耦合與最小特徵值靈敏度
(On the Study of the Sequential Eigenstructure Assignment and Its Application to Mode Decoupling and Minimum Eigenvalue Sensitivity)

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摘要(中)

近年來，為改善全狀態特徵結構設計方法之無法容易獲得非奇異模式矩陣的共同缺點，於是順序式的特徵結構設計方法被提出來。所謂的順序式的特徵結構設計方法，即一次僅從開迴路系統中設計一個或一群特徵結構到閉迴路系統。
在本論文中，我們透過狀態迴授控制，提出另一種順序式的特徵結構設計方式。其優點為可將原來的開迴路系統以對角化形式分解成較簡單的設計結構形式，且可容易的設計出非奇異的模式矩陣。而本篇所提出的順序特徵結構方法也成功的被應用在特徵模子去耦合和最小化特徵值靈敏度上。

摘要(英)

In recent year, a sequential eigenstructure assignment method, which can improve the common disadvantage of the entire eigenstructure assignment method, is proposed. In the algorithm of the sequential eigenstructure assignment method, only one or a group of eigenvectors are assigned at one time. It is easier to achieve the invertible modal matrix in the sequential eigenstructure assignment method than that
in the entire eigenstructure assignment method.
In this thesis, we propose an alternative scheme for the sequential eigenstructure assignment via linear state-variable feedback, which has the simple structure and time-saving decomposition for the original system matrix. And it has successful application to minimum eigenvalue sensitivity and mode decoupling for linear multi-input systems.

關鍵字(中)

★ 順序特徵結構設計
★ 特徵模子去耦合
★ 最小特徵值靈敏度

關鍵字(英)

★ sequential eigenstructure assignment
★ mode decoupling
★ minimum eigenvalue sensitvity

論文目次

TABLE OF CONTENT
page
Abstract
Table of Content
List of Figures
Chapter 1 Introduction
1.1 The Statements of Eigenstructure Assignment Problem
1.2 The Survey of Eigenstructure Assignment Methods
1.3 The Description of Sequential Eigenstructure Assignment
1.4 The Motivation of Proposed Sequential Eigenstructure Assignment
1.5 Organizations
Chapter 2 Preliminary Theory of Sequential Eigenstructure Assignment
2.1 Problem Statements of Sequential Eigenstructure Assignment
2.2 Main Results of Proposed Sequential Eigenstructure Assignment
2.3 Illustrative Examples for Main Results of Proposed Sequential Eigenstructure assignment
2.4 Brief summary
Chapter 3 Sequential Eigenstructure Assignment with Complex and Repeated Eigenvalues
3.1 Assigning the Distinct Open-loop Eigenvalues to the Complex-conjugate
Closed-loop Eigenvalues.
3.2 Assigning the Complex-conjugate Open-loop Eigenvalues to the Repeated
Closed-loop Eigenvalues
3.3 Assigning the Repeated Open-loop Eigenvalues to the Repeated Closed-
loop Eigenvalues.
3.4 Assigning the Repeated Open-loop Eigenvalues to the Distinct Closed-loop Eigenvalues.
3.5 Brief Summary
Chapter 4 Applications of Sequential Eigenstructure Assignment
4.1 Sequential Eigenstructure Assignment with Mode Decoupling
4.1.1 Problem Statements of Sequential Eigenstructure Assignment with Mode
Decoupling
4.1.2 The Eigenvector Assignment with Mode Decoupling 5
4.2 Sequential Eigenstructure Assignment with Minimum Eigenvalue
Sensitivity
4.2.1 Problem Statements of Sequential Eigenstructure Assignment with
Minimum Eigenvalue Sensitivity
4.2.2 The Eigenvector Assignment with Minimum Eigenvalue
Sensitivity
4.3 Sequential Eigenstructure Assignment with Mode Decoupling and
Minimum Eigenvalue Sensitivity
4.3.1 Problem Statements of Sequential Eigenstructure Assignment with Mode
Decoupling and Minimum Eigenvalue Sensitivity
4.3.2 The Algorithm for Mode Decoupling and Minimum Eigenvalue
Sensitivity
4.3.3 Illustrative Examples of The Algorithm for Mode Decoupling and
Minimum Eigenvalue Sensitivity
4.4 Brief Summary
Chapter 5 Conclusions and Suggestions
References
List of Figures
Page
Fig 1.1 Entire eigenstructure assignment
Fig 1.2 Sequential eigenstructure assignment
Fig 2.1 The j’th sequential of sequential eigenstructure assignment

參考文獻

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指導教授

詹益仁(Yi-Jen Chan)

審核日期

2000-8-4

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