Circuit implementation and tracking control of the fractional-order hyper-chaotic Lu system

被引：16
|
作者：
Min Fu-Hong [1 ]
Yu Yang [1 ]
Ge Cao-Ju [2 ]
机构：
[1] Nanjing Normal Univ, Sch Elect Engn & Automat, Nanjing 210042, Peoples R China
[2] Nanjing Normal Univ, Dept Capital Construct, Nanjing 210042, Peoples R China
来源：
ACTA PHYSICA SINICA | 2009年 / 58卷 / 03期
基金：
中国国家自然科学基金;
关键词：
fractional order Lu system; fhyper-chaotic system; feircuit implementation; ftracking control; SYNCHRONIZATION; ATTRACTOR;
D O I：
10.7498/aps.58.1456
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper studies the fractional - order Lu system which has been presented recently, and designed an electronic circuit to realize it. The hyper-chaotic behavior of the fractional-order Lu system is verified by numerical simulation and circuit experiment. Based on the stability theory of the fractional - order system,a simple linear feedback controller is designed to make full states of a fractional order Lu system to track control sinusoidal waves or arbitrarily fixed point. The simulation results are presented to demonstrate the effectiveness of the proposed method.
引用
收藏
页码：1456 / 1461
页数：6
相关论文
共 19 条
  • [1] Chaos in fractional-order autonomous nonlinear systems
    Ahmad, WM
    Sprott, JC
    [J]. CHAOS SOLITONS & FRACTALS, 2003, 16 (02) : 339 - 351
  • [2] Generating hyperchaotic Lu attractor via state feedback control
    Chen, AM
    Lu, JN
    Lü, JH
    Yu, SM
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 364 : 103 - 110
  • [3] Yet another chaotic attractor
    Chen, GR
    Ueta, T
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07): : 1465 - 1466
  • [4] Study on the fractional-order Liu chaotic system with circuit experiment and its control
    Chen Xiang-Rong
    Liu Chong-Xin
    Wang Fa-Qiang
    Li Yong-Xun
    [J]. ACTA PHYSICA SINICA, 2008, 57 (03) : 1416 - 1422
  • [5] CHEN XR, 2008, CHINESE PHYS B, V17, P1614
  • [6] Chaotic dynamics of the fractional Lorenz system
    Grigorenko, I
    Grigorenko, E
    [J]. PHYSICAL REVIEW LETTERS, 2003, 91 (03)
  • [7] Chaos and hyperchaos in the fractional-order Rossler equations
    Li, CG
    Chen, GR
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 341 : 55 - 61
  • [8] The synchronization of three fractional differential systems
    Li, Changpin
    Yan, Jianping
    [J]. CHAOS SOLITONS & FRACTALS, 2007, 32 (02) : 751 - 757
  • [9] Chaos in Chen's system with a fractional order
    Li, CP
    Peng, GJ
    [J]. CHAOS SOLITONS & FRACTALS, 2004, 22 (02) : 443 - 450
  • [10] A hyperchaotic system and its fractional order circuit simulation
    Liu Chong-Xin
    [J]. ACTA PHYSICA SINICA, 2007, 56 (12) : 6865 - 6873
12