System reduction using eigen spectrum analysis and Pade approximation technique

被引：29
|
作者：
Parmar, G. [1 ]
Mukherjee, S. [1 ]
Prasad, R. [1 ]
机构：
[1] Indian Inst Technol, Dept Elect Engn, Roorkee 247667, Uttar Pradesh, India
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2007年 / 84卷 / 12期
关键词：
eigen spectrum; impulse response energy; integral square error; model order reduction; Pade approximation;
D O I：
10.1080/00207160701345566
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A mixed method is proposed for deriving reduced-order models of high-order linear time invariant systems using the combined advantages of eigen spectrum analysis and the Pade approximation technique. The denominator of the reduced-order model is found by eigen spectrum analysis, and the dynamics of the numerator are chosen using the Pade approximation technique. This method guarantees stability of the reduced model if the original high-order system is stable. The method is illustrated by three numerical examples.
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页码：1871 / 1880
页数：10
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