Krylov subspace methods for model reduction of quadratic-bilinear systems

被引：23

作者：

Ahmad, Mian Ilyas ^{[1
]}

Benner, Peter ^{[2
]}

Jaimoukha, Imad ^{[3
]}

机构：

[1] Natl Univ Sci & Technol, Res Ctr Modeling & Simulat, Islamabad, Pakistan

[2] Max Planck Inst Dynam Complex Tech Syst, Magdeburg, Germany

[3] Imperial Coll London, Dept Elect & Elect Engn, London, England

来源：

IET CONTROL THEORY AND APPLICATIONS | 2016年 / 10卷 / 16期

关键词：

bilinear systems; transfer functions; Krylov subspace methods; model reduction; quadratic-bilinear systems; two sided moment matching method; quadratic-bilinear descriptor systems; generalised transfer functions; input-output representation; nonlinear system; PROPER ORTHOGONAL DECOMPOSITION; ORDER REDUCTION; NONLINEAR-SYSTEMS;

D O I：

10.1049/iet-cta.2016.0415

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 authors propose a two sided moment matching method for model reduction of quadratic-bilinear descriptor systems. The goal is to approximate some of the generalised transfer functions that appear in the input-output representation of the non-linear system. Existing techniques achieve this by utilising moment matching for the first two generalised transfer functions. In this study, they derive an equivalent representation that simplifies the structure of the generalised transfer functions. This allows them to extend the idea of two sided moment matching to higher subsystems which was difficult in the previous approaches. Numerical results are given for some benchmark examples of quadratic-bilinear systems.

引用

页码：2010 / 2018

页数：9

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