研究生: |
蔡恩明 Tsai, En-Ming |
---|---|
論文名稱: |
基於極點配置的方法來設計線性多變數系統中的傳輸零點配置 Transmission Zero Assignment in Linear Multivariable System Using Pole Assignment Method |
指導教授: |
蔡聖鴻
Tsai, Sheng-Hong |
學位類別: |
碩士 Master |
系所名稱: |
電機資訊學院 - 電機工程學系 Department of Electrical Engineering |
論文出版年: | 2016 |
畢業學年度: | 104 |
語文別: | 英文 |
論文頁數: | 41 |
中文關鍵詞: | 線性非時變多變數系統 、傳輸零點配置 、傳輸零點 、極點配置 、輸出回授矩陣 、直接傳輸項 、系統輸出矩陣 |
外文關鍵詞: | Transmission zeros, Linear time-invariant multivariable system, Output feedback gain matrix, Zero assignment, Pole assignment, Direct-feedthrough term |
相關次數: | 點閱:158 下載:1 |
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在本論文中,針對線性非時變多變數系統討論傳輸零點配置的問題。本文指出此問題可透過演算法找出一個利用極點配置的滿秩輸出回授矩陣,即可指定其系統零點。藉由演算法得到的輸出回授矩陣,使用反矩陣當成線性多變數系統的直接傳輸項,最後,即可以將傳輸零點設置在期待的零點上。除此之外,本文還指出了零點配置與極點配置是等價的數學問題,藉由建構一個系統輸出矩陣,來達到設計系統零點在期待的位置。
In this thesis, we consider the problem of assigning transmission zeros in a linear time-invariant multivariable system. It shows the problem can be formulated as that of finding a full rank output feedback gain matrix which assigns the eigenvalues of the given system to the locations at which the transmission zeros are to be positioned. Also, it shows the zero assignment and pole assignment are mathematically equivalent problems. Using the inverse of the output feedback gain matrix as a direct-feedthrough term in a system yields transmission zeros at the desired locations.
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