H2 and H∞ Error Bounds for Model Order Reduction of Second Order Systems by Krylov Subspace Methods

被引：0

作者：

Panzer, Heiko K. F. ^{[1
]}

Wolf, Thomas ^{[1
]}

Lohmann, Boris ^{[1
]}

机构：

[1] Tech Univ Munich, Inst Automat Control, D-85748 Garching, Germany

来源：

2013 EUROPEAN CONTROL CONFERENCE (ECC) | 2013年

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We present rigorous bounds on the H-2 and H-infinity norm of the error resulting from model order reduction of second order systems by KRYLOV subspace methods. To this end, we use a strictly dissipative state space realization of the model and perform a factorization of the error system. The derived error expressions are easy to compute and can therefore be applied to models of very high order, as is demonstrated in numerical examples. In fact, all results hold true for arbitrary state space models in strictly dissipative realization that do not necessarily have to originate from second order systems.

引用

页码：4484 / 4489

页数：6

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