Linear-quadratic Gaussian balancing for model reduction of differential-algebraic systems

被引：16

作者：

Moeckel, Jens ^{[2
]}

Reis, Timo ^{[1
]}

Stykel, Tatjana ^{[3
]}

机构：

[1] Univ Hamburg, Fachbereich Math, D-20146 Hamburg, Germany

[2] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

[3] Univ Augsburg, Inst Math, D-86159 Augsburg, Germany

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2011年 / 84卷 / 10期

关键词：

model reduction; descriptor systems; balanced truncation; generalised algebraic Riccati equations; gap metric; normalized coprime factorisation; GENERALIZED STATE-SPACE; RICCATI EQUATION; CONTROLLABILITY; OBSERVABILITY;

D O I：

10.1080/00207179.2011.622791

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 generalise the model reduction method of linear-quadratic Gaussian balanced truncation to linear time-invariant systems governed by differential-algebraic equations. The presented method relies on the solution of generalised algebraic Riccati equations. A simple a priori error bound in the gap metric is given.

引用

页码：1627 / 1643

页数：17

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