H2-optimal model reduction of MIMO systems

被引：105

作者：

Van Dooren, P. ^{[1
]}

Gallivan, K. A. ^{[2
]}

Absil, R-A. ^{[1
]}

机构：

[1] Univ Catholique Louvain, CESAME, B-1348 Louvain, Belgium

[2] Florida State Univ, Sch Computat Sci, Tallahassee, FL 32306 USA

来源：

APPLIED MATHEMATICS LETTERS | 2008年 / 21卷 / 12期

基金：

美国国家科学基金会;

关键词：

Multivariable systems; Model reduction; Optimal H-2 approximation; Tangential interpolation;

D O I：

10.1016/j.aml.2007.09.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the problem of approximating a p x m rational transfer function H(s) of high degree by another p x m rational transfer function (H) over cap (s) of much smaller degree. We derive the gradients of the H-2-norm of the approximation error and show how stationary points can be described via tangential interpolation. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1267 / 1273

页数：7

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