频率拟合-Padé联合降阶种——一种兼具精度、灵活性和简易性的系统简化方法

Frequency-Fitting-and-Padé Order Reduction ——a Simplified System Reduction Method with Adequate Accuracy and Flexibility

摘要: 本文首先综论模型降阶理论近年来的若干发展动向．然后，在对几个问题深入讨论的基础上，提出一种兼具精度、灵活性和简易性的频率拟合-Padé联合降阶法，该方法采取对Padé精度影响尽可能小的办法实现稳定降价．其降价的计算量归结为仅需建立和解一个线性方程组．例题说明了该方法可以达到相当高的频域和时域精度，并能灵活地按需要复现原高阶模型的某些特征频率特性．

Abstract: With the current model order reduction theory in view,and based on the study of several particular problems,a method which combines frequency fitting with Padéorder reduction is proposed.The essence of this method is to obtain a stable order reduction with minimum effect on Padé accuracy.The computation involved can be reduced to the point of building up and the solving of a set of linear equations.Examples are shown that high accuracy both in time and frequency domains canbe achieved.And certain characteristics of the original high order model can bere produced as well.