• 作者： 容志輝; 黃奇
• 作者服務機構： 國立成功大學電機工程學系; 化學工程學系
• 中文摘要： 本文提出新的 Cauer 連分數對 S=O 與 s=a 交替展開式，並提出此新形式的狀態空間模式和相位變數典型形式的狀態空間模式的相似變換。此外並提出原系統模式與此連分數典型形式之簡化模式之間的近似 aggregation 矩陣。
• 英文摘要： This paper presents a new form of the Cauer continued fraction for state-space reduced-order model-ling of linear time-invariant systems. The new continued fraction combines expansion about the origin anda general point. A state-space realization of the continued-fraction expansion and the corresponding ca-nonical form are derived. Also presented is a similarity transformation matrix which transforms a phase-variable canonical form to the continued-fraction canonical form. Based on this similarity transformationmatrix, an approximate aggregation matrix is constructed for relating the state vector of the original systemand that of the reduced model obtained by the new continued-fraction method.
• 中文關鍵字： continued fraction; model reduction; modelling; pade approximations
• 英文關鍵字： --