Model Reduction for a Class of Convergent Nonlinear Systems

被引：14

作者：

Besselink, Bart ^{[1
]}

van de Wouw, Nathan ^{[1
]}

Nijmeijer, Henk ^{[1
]}

机构：

[1] Eindhoven Univ Technol, Dept Mech Engn, Dynam & Control Grp, NL-5600 MB Eindhoven, Netherlands

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2012年 / 57卷 / 04期

关键词：

Model reduction; nonlinear systems; ORDER REDUCTION; APPROXIMATION; REALIZATION; STABILITY;

D O I：

10.1109/TAC.2011.2170449

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 technical note, a model reduction procedure is presented for nonlinear systems that can be decomposed into a feedback interconnection of a linear and nonlinear subsystem. Conditions for stability of the reduced-order model and an error bound are given. Herein, the input-to-state convergence property is exploited, which proves to be useful in the definition and derivation of the error bound. The results are illustrated by application to a nonlinear mechanical system.

引用

页码：1071 / 1076

页数：6

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