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

页码：1558 / 1568

页数：11

共 50 条

[41] Global finite-time stabilisation using bounded feedback for a class of non-linear systems
Du, H.
Qian, C.
Frye, M. T.
Li, S.
IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (14): : 2326 - 2336
[42] ANALYSIS OF A CLASS OF NON-LINEAR AND TIME-VARYING PARAMETER FEEDBACK SYSTEMS
RAO, GP
INTERNATIONAL JOURNAL OF CONTROL, 1970, 12 (05) : 857 - &
[43] OPTIMAL FEEDBACK CONTROLS FOR A CLASS OF NON-LINEAR DISTRIBUTED PARAMETER-SYSTEMS
BARBU, V
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1983, 21 (06) : 871 - 894
[44] THE MINIMUM TIME PROBLEM FOR A CLASS OF NON-LINEAR DISTRIBUTED PARAMETER-SYSTEMS
PETROVACKI, D
INTERNATIONAL JOURNAL OF CONTROL, 1980, 32 (01) : 51 - 62
[45] On the robustness of linear and non-linear fractional-order systems with non-linear uncertain parameters
N'Doye, Ibrahima
Darouach, Mohamed
Voos, Holger
Zasadzinski, Michel
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2016, 33 (04) : 997 - 1014
[46] The stability of a class of non-linear systems
Aleksandrov, AY
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2000, 64 (04): : 521 - 526
[47] QUANTIZATION OF A CLASS OF NON-LINEAR SYSTEMS
HOOD, CG
HELLMAN, WS
BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1971, 16 (04): : 504 - &
[48] ANALYSIS OF A CLASS OF NON-LINEAR SYSTEMS
DASARATHY, BV
JOURNAL OF SOUND AND VIBRATION, 1970, 11 (01) : 139 - +
[49] OBSERVABILITY FOR A CLASS OF NON-LINEAR SYSTEMS
SEN, P
CHIDAMBARA, MR
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (06) : 1236 - 1237
[50] SYNTHESIS OF A CLASS OF NON-LINEAR SYSTEMS
SCHETZEN, M
INTERNATIONAL JOURNAL OF CONTROL, 1965, 1 (05) : 401 - &

← 1 2 3 4 5 →