Structure preserving model-order reductions of MIMO second-order systems using Arnoldi methods

被引：9

作者：

Chu, Chia-Chi ^{[1
]}

Tsai, Hung-Chi ^{[2
]}

Lai, Ming-Hong ^{[3
]}

机构：

[1] Natl Tsing Hua Univ, Dept Elect Engn, Hsinchu 300, Taiwan

[2] Chang Gung Univ, Dept Elect Engn, Tao Yuan, Taiwan

[3] SpringSoft Inc, Hsinchu 300, Taiwan

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 51卷 / 7-8期

关键词：

Order reductions; Second-order system; Moment matching; Krylov subspace; Arnoldi method; Block Arnoldi method; Global Arnoldi method; ANALYTICAL ENERGY FUNCTIONS; DIRECT STABILITY ANALYSIS; ERROR ESTIMATIONS; ALGORITHM; TREES;

D O I：

10.1016/j.mcm.2009.08.028

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper investigates structure preserving model-order reductions of the MIMO second-order system. By extending the previous SISO second-order Arnoldi (SOAR) algorithm, both block Arnoldi methods and global Arnoldi methods will be investigated. Analytic expressions of system moments and output moments will be derived analytically in terms of the upper Hessenberg matrix. By employing the so-called congruence transformation, the system data of the reduced second-order system will be obtained. Relationships among these coefficients will also be derived. Simulations about practical engineering applications will be performed to illustrate the feasibility and the efficiency of these two classes of model reductions. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：956 / 973

页数：18

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