• 作者： 陳木楊; 黃奇
• 作者服務機構： 國立成功大學化學工程學系
• 中文摘要： 本文提出一種多點式矩陣連分式描述法以簡化多變數系統之多項式矩陣分數描述式，也導出了多點式矩陣連分式之展開和還原的運算術。文中提出對應於多點式矩陣連分式簡化法的時間領域模式降階的步驟和矩陣分數描述式之狀態空間實現。此外，更進一步建立一個新的塊式相似變換矩陣以關聯塊式相變數標準式和本文所提出之多點式矩陣連分式。本文所提出的多點式矩陣連分式法的優點在於其所得的簡化模式之頻域及時域應答均能良好近似原系統者。
• 英文摘要： A multipoint matrix continued-fraction description (MMCFD) method is proposed for simplifying multivariablesystems characterized by polynomial matrix fraction descriptions (MFDs). Algorithms for the expansion and inversion ofthe MMCFD are derived. The associated time-domain modelling procedure and the state-space realization of an MFDare also developed. Furthermore, a new block similarity transformation matrix is constructed to transform a state-spacemodel in the block phase-variable canonical form to the one in MMCFD canonical form. The advantage of the presentMMCFD method is that the resulting reduced models can approximate well the original system in both the frequencyand time responses at the desired portions. A demonstrative example is included.
• 中文關鍵字： mulitivariable System; model reduction; matrix continued fractions
• 英文關鍵字： --