Approximation and balanced reduction of non-linear systems by bilinear models

被引：2

作者：

Bettayeb, Maamar ^{[1
]}

Djennoune, Said ^{[2
]}

机构：

[1] Univ Sharjah, Dept Elect & Comp Engn, Sharjah, U Arab Emirates

[2] Univ Mouloud Mammeri Tizi Ouzou, Lab Conduite & Controle Syst Prod, Tizi Ouzou, Algeria

来源：

INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL | 2007年 / 2卷 / 01期

关键词：

model order reduction; non-linear system; balanced realisation; bilinear systems;

D O I：

10.1504/IJMIC.2007.014322

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we propose an order model reduction scheme for a class of non-linear systems. The method is based on truncated balanced realisation algorithm mixed with a bilinearisation process of the non-linear system. Our method is an extension of the recently developed Trajectory Piece-Wise-Linear (TPWL) approach which is based on representing the non-linear system with a piece-wise-linear model. The method developed here considers a more general non-linear system for which the input matrix depends on the state.

引用

页码：9 / 15

页数：7

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