Stabilisation for a class of non-linear systems with uncertain parameter based on centre manifold

被引：1
|
作者：
Cai, X. [1 ]
Han, Z. [2 ]
Huang, J. [2 ]
机构：
[1] Zhejiang Normal Univ, Dept Engn, Jinhua 321004, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2010年 / 4卷 / 09期
基金：
中国国家自然科学基金;
关键词：
CONTROLLED CENTER DYNAMICS; DOUBLE HOPF-BIFURCATION; NORMAL-FORM; FEEDBACK;
D O I：
10.1049/iet-cta.2008.0355
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 stabilisation problem of non-linear systems with multi-uncontrollable modes on the imaginary axes is studied. The relation between the centre manifold and the feedback law is given. By choosing the first coordinate function of the centre manifold, a state feedback law to stabilise the dynamics of the centre manifold is acquired. It can stabilise the full order system. This method is applied to stabilise non-linear systems with double Hopf bifurcation. The simulation shows the effectiveness of the method.
引用
收藏
页码：1558 / 1568
页数：11
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