A new result on passivity preserving model reduction

被引：79

作者：

Antoulas, AC ^{[1
]}

机构：

[1] Rice Univ, Dept Elect & Comp Engn, Houston, TX 77251 USA

来源：

SYSTEMS & CONTROL LETTERS | 2005年 / 54卷 / 04期

关键词：

rational interpolation; positive real functions; positive real realization; spectral zeros; Pick matrix; Lowner matrix; model reduction; Krylov methods;

D O I：

10.1016/j.sysconle.2004.07.007

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of model reduction with preservation of passivity is investigated. The approach is based on positive real interpolation. and is inspired by the similarity between Lowner and Pick matrices. The former are important in problems of general rational interpolation while the latter in problems of interpolation by positive real functions. It follows that interpolation of the original set of data together with an appropriately defined mirror-image set of data yields automatically positive real interpolants. Subsequently, we show how this result can be implemented using a Krylov projection procedure. The ensuing model reduction method preserves stability and passivity and can be implemented efficiently for the large-scale systems. (c) 2004 Elsevier B.V. All rights reserved.

引用

页码：361 / 374

页数：14

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