A Krylov subspace method based on multi-moment matching for model order reduction of large-scale second order bilinear systems

被引：11

作者：

Vakilzadeh, M. ^{[1
]}

Eghtesad, M. ^{[1
]}

Vatankhah, R. ^{[1
]}

Mahmoodi, M. ^{[2
]}

机构：

[1] Shiraz Univ, Sch Mech Engn, Shiraz, Iran

[2] Univ Toronto, Toronto, ON, Canada

来源：

APPLIED MATHEMATICAL MODELLING | 2018年 / 60卷

关键词：

Model order reduction; Krylov subspace; Second order bilinear systems; MEMS device;

D O I：

10.1016/j.apm.2018.03.048

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, a Krylov subspace method based on multi-moment matching is utilized for model order reduction of large-scale second order bilinear systems. Accordingly, model order reduction procedure will be directly applied to second order systems which avoids converting them into first order ones. In this way, the main characteristics of the second order system such as symmetry and positive definiteness of the mass and stiffness matrices will be preserved. Furthermore, an electrostatically actuated micro-electro-mechanical system device will be considered as a case study to show the effectiveness of the presented method. Simulation results indicate the excellent performance of the proposed model order reduction method. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：739 / 757

页数：19

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