The adaptive control of Chen's chaotic system

被引:39
作者
Guan, XP [1 ]
Fan, ZP [1 ]
Peng, HP [1 ]
Wang, YQ [1 ]
机构
[1] Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China
关键词
Chen's chaotic system; chaos control; adaptive control;
D O I
10.7498/aps.50.2108
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The control of Chen's chaotic system when its parameters are known a priori or unknown is studied by means of a simple linear state feedback method. When the parameters are known a priori, we show the variation range of feedback gain; and when the parameters are unknown, an adaptive controller is designed, which overcomes the drawback that the control is discontinuous in a common adaptive controller. Finally the simulation results vertify the effectiveness of our proposed method.
引用
收藏
页码:2108 / 2111
页数:4
相关论文
共 16 条
[1]  
BERNARDO MD, 1996, INT J BIFURCAT CHAOS, V6, P557
[2]   Yet another chaotic attractor [J].
Chen, GR ;
Ueta, T .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466
[3]   A nonlinear state feedback approach to the control and synchronization of continuous-time chaotic systems [J].
Gao, JF ;
Luo, XJ ;
Ma, XK ;
Pan, XQ ;
Wang, JK .
ACTA PHYSICA SINICA, 1999, 48 (09) :1618-1627
[4]   Adaptive backstepping control of a class of chaotic systems [J].
Ge, SS ;
Wang, C ;
Lee, TH .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (05) :1149-1156
[5]   A modified periodic pulse method to control the chaos of conservative flow [J].
Li, W ;
Chen, GZ ;
Liu, ZH .
ACTA PHYSICA SINICA, 1999, 48 (04) :581-588
[6]  
LIU F, 2000, CONTROL DECISION, V15, P15
[7]   Control of the chaotic Duffing equation with uncertainty in all parameters [J].
Loria, A ;
Panteley, E ;
Nijmeijer, H .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1998, 45 (12) :1252-1255
[8]   CONTROLLING CHAOS [J].
OTT, E ;
GREBOGI, C ;
YORKE, JA .
PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1196-1199
[9]   Control of chaotic Lorenz system to approach any desired targets with feedback functions [J].
Tang, GN ;
Luo, XS ;
Kong, LJ .
ACTA PHYSICA SINICA, 2000, 49 (01) :30-32
[10]   The control of higher dimensional chaos: comparative results for the chaotic satellite attitude control problem [J].
Tsui, APM ;
Jones, AJ .
PHYSICA D-NONLINEAR PHENOMENA, 2000, 135 (1-2) :41-62