Passive control on a unified chaotic system

被引:54
作者
Chen, Xiangrong [1 ]
Liu, Chongxin [1 ]
机构
[1] Xi An Jiao Tong Univ, Sch Elect Engn, State Key Lab Elect Insulat & Power Equipment, Xian 710049, Peoples R China
关键词
Chaos; Passive control; Unified chaotic system;
D O I
10.1016/j.nonrwa.2009.01.014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, based on the stability properties of a passive system, a simple linear state feedback controller is proposed to realize the stability control of a unified chaotic system. Using this method, we can render the non-passive unified chaotic system to be equivalent to a passive one. Simulation results are shown to verify the effectiveness of the proposed controller. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:683 / 687
页数:5
相关论文
共 15 条
[1]   PASSIVITY, FEEDBACK EQUIVALENCE, AND THE GLOBAL STABILIZATION OF MINIMUM PHASE NONLINEAR-SYSTEMS [J].
BYRNES, CI ;
ISIDORI, A ;
WILLEMS, JC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (11) :1228-1240
[2]  
Chen G., 2003, CHAOS CONTROL THEORY
[3]   Yet another chaotic attractor [J].
Chen, GR ;
Ueta, T .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466
[4]  
CHEN GR, 2003, DYNAMICS ANAL CONTRO
[5]   THE DOUBLE SCROLL FAMILY .1. RIGOROUS PROOF OF CHAOS [J].
CHUA, LO ;
KOMURO, M ;
MATSUMOTO, T .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (11) :1072-1097
[6]   A new chaotic attractor [J].
Liu, CX ;
Liu, T ;
Liu, L ;
Liu, K .
CHAOS SOLITONS & FRACTALS, 2004, 22 (05) :1031-1038
[7]  
LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO
[8]  
2
[9]   Bridge the gap between the Lorenz system and the Chen system [J].
Lü, JH ;
Chen, GR ;
Cheng, DZ ;
Celikovsky, S .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (12) :2917-2926
[10]   A new chaotic attractor coined [J].
Lü, JH ;
Chen, GR .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (03) :659-661