H2 optimal model order reduction on the Stiefel manifold for the MIMO discrete system by the cross Gramian

被引：5

作者：

Wang, Wei-Gang ^{[1
]}

Jiang, Yao-Lin ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian, Shaanxi, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS | 2018年 / 24卷 / 06期

基金：

中国国家自然科学基金;

关键词：

H-2; optimality; cross gramian; the stiefel manifold; TRUST-REGION METHODS;

D O I：

10.1080/13873954.2018.1519835

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, the H-2 optimal model order reduction method for the large-scale multiple-input multiple-output (MIMO) discrete system is investigated. First, the MIMO discrete system is resolved into a number of single-input single-output (SISO) subsystems, and the H-2 norm of the original MIMO discrete system is expressed by the cross Gramian of each subsystem. Then, the retraction and the vector transport on the Stiefel manifold are introduced, and the geometric conjugate gradient model order reduction method is proposed. The reduced system of the original MIMO discrete system is generated by using the proposed method. Finally, two numerical examples show the efficiency of the proposed method.

引用

页码：590 / 605

页数：16

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