An error bound for model reduction of Lur'e-type systems

被引：8
|
作者：
Besselink, Bart [1 ]
van de Wouw, Nathan [1 ]
Nijmeijer, Henk [1 ]
机构：
[1] Eindhoven Univ Technol, Dynam & Control Grp, Dept Mech Engn, POB 513, NL-5600 MB Eindhoven, Netherlands
来源：
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年
关键词：
BALANCED TRUNCATION;
D O I：
10.1109/CDC.2009.5400886
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 general, existing model reduction techniques for stable nonlinear systems lack a guarantee on stability of the reduced-order model, as well as an error bound. In this paper, a model reduction procedure for absolutely stable Lur'etype systems is presented, where conditions to ensure absolute stability of the reduced-order model as well as an error bound are given. The proposed model reduction procedure exploits linear model reduction techniques for the reduction of the linear part of the Lur'e-type system. Hence, the proposed model reduction strategy is computationally attractive. Moreover, both stability and the error bound for the obtained reduced-order model hold for an entire class of nonlinearities. The results are illustrated by application to a nonlinear mechanical system.
引用
收藏
页码：3264 / 3269
页数：6
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