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
相关论文
共 50 条
  • [31] Stable adaptive output feedback controller for a class of uncertain non-linear systems
    Esfandiari, Kasra
    Abdollahi, Farzaneh
    Talebi, Heidar Ali
    IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (09): : 1329 - 1337
  • [32] GLOBAL STABILIZATION WITH ALMOST DISTURBANCE DECOUPLING OF A CLASS OF UNCERTAIN NON-LINEAR SYSTEMS
    SABERI, A
    SANNUTI, P
    INTERNATIONAL JOURNAL OF CONTROL, 1988, 47 (03) : 717 - 727
  • [33] Detection and isolation of incipient sensor faults for a class of uncertain non-linear systems
    Zhang, J.
    Swain, A. K.
    Nguang, S. K.
    IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (12): : 1870 - 1880
  • [34] A TERMINAL SLIDING MODE LEARNING CONTROL FOR A CLASS OF UNCERTAIN NON-LINEAR SYSTEMS
    Xia, Rui
    Gao, Shouli
    Zhao, Dongya
    MECHATRONIC SYSTEMS AND CONTROL, 2022, 50 (02): : 87 - 95
  • [35] Robust adaptive control of uncertain non-linear systems with non-linear parameterisation
    Liu, Yusheng
    INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL, 2006, 1 (02) : 151 - 156
  • [36] Comments on "Stabilisation conditions for fuzzy control of uncertain fractional order non-linear systems with random disturbances'
    Zhang, Xuefeng
    Liu, Yangyang
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (03): : 428 - 429
  • [37] Generalized synchronization on linear manifold in coupled non-linear systems
    Cincotti, S
    Teglio, A
    2002 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL III, PROCEEDINGS, 2002, : 61 - 64
  • [38] Universal stabilisation design for a class of non-linear systems with time-varying input delays
    Cai, Xiushan
    Lin, Yuhang
    Liu, Leipo
    IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (10): : 1481 - 1490
  • [39] On observation problem of uncertain non-linear systems
    Krasnova, SA
    Utkin, VA
    Kuznetsov, SI
    Proceedings of the Second IASTED International Multi-Conference on Automation, Control, and Information Technology - Automation, Control, and Applications, 2005, : 442 - 447
  • [40] Global stabilisation for a class of stochastic continuous non-linear systems with time-varying delay
    Shao, Yu
    Xu, Shengyuan
    Li, Yongmin
    Chu, Yuming
    Zhang, Zhengqiang
    IET CONTROL THEORY AND APPLICATIONS, 2021, 15 (02): : 297 - 306
12345