Controlling uncertain Lu system using linear feedback

被引:112
作者
Lü, JH
Lu, JN
机构
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
关键词
Chaos theory - Computer simulation - Feedback control - Linear control systems;
D O I
10.1016/S0960-0779(02)00456-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Lu attractor is a new chaotic attractor, which connects the Lorenz attractor and Chen attractor and represents the transition from one to the other. An effective observer is produced to identify the unknown parameters of Lu system. Moreover, a linear feedback control strategy is proposed for controlling uncertain Lu system. Numerical simulations show the effectiveness and feasibility of the proposed controllers. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:127 / 133
页数:7
相关论文
共 19 条
[1]  
[Anonymous], 2002, CHAOTIC TIME SERIES
[2]   A nonlinear adaptive approach to controlling chaotic oscillators [J].
Cao, YJ .
PHYSICS LETTERS A, 2000, 270 (3-4) :171-176
[3]  
Chen G., 1998, CHAOS ORDER METHODOL
[4]   ON FEEDBACK-CONTROL OF CHAOTIC CONTINUOUS-TIME SYSTEMS [J].
CHEN, GR ;
DONG, XN .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1993, 40 (09) :591-601
[5]   Yet another chaotic attractor [J].
Chen, GR ;
Ueta, T .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466
[6]   CONTROLLING CHAOS USING DIFFERENTIAL GEOMETRIC-METHOD [J].
FUH, CC ;
TUNG, PC .
PHYSICAL REVIEW LETTERS, 1995, 75 (16) :2952-2955
[7]  
LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO
[8]  
2
[9]  
LU J, IN PRESS APPL MATH M
[10]   Dynamical analysis of a new chaotic attractor [J].
Lu, JH ;
Chen, GR ;
Zhang, SC .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (05) :1001-1015