Adaptive synchronization of fractional-order chaotic system via sliding mode control

被引:10
|
作者
Cao, He-Fei [1 ,2 ]
Zhang Ruo-Xun [1 ,3 ]
机构
[1] Hebei Normal Univ, Coll Phys, Shijiazhuang 050016, Peoples R China
[2] Shijiazhuang Coll, Dept Phys, Shijiazhuang 050035, Peoples R China
[3] Xingtai Univ, Coll Elementary Educ, Xingtai 054001, Peoples R China
关键词
sliding mode control; fractional-order chaotic system; single controller; adaptive synchronization; HYPERCHAOS;
D O I
10.7498/aps.60.050510
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Based on sliding mode control theory and adaptive control theory, this paper investigates the synchronization of three-dimensional chaotic systems, designs a fractional order proportional integral switching surface, and proposes a single adaptive-feedback controller for fractional-order chaos synchronization. Simulation results for fractional-order unified chaotic system and Arneodo chaotic systems are provided to illustrate the effectiveness of the proposed scheme.
引用
收藏
页数:5
相关论文
共 26 条
  • [1] Chaos in fractional-order autonomous nonlinear systems
    Ahmad, WM
    Sprott, JC
    [J]. CHAOS SOLITONS & FRACTALS, 2003, 16 (02) : 339 - 351
  • [2] 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
  • [3] Generalized synchronization in fractional order systems
    Deng, Weihua
    [J]. PHYSICAL REVIEW E, 2007, 75 (05):
  • [4] Chaos synchronization of the fractional Lu system
    Deng, WH
    Li, CP
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 353 (1-4) : 61 - 72
  • [5] Gao X, 2005, CHINESE PHYS, V14, P908, DOI 10.1088/1009-1963/14/5/009
  • [6] Chaos in the fractional order periodically forced complex Duffing's oscillators
    Gao, X
    Yu, JB
    [J]. CHAOS SOLITONS & FRACTALS, 2005, 24 (04) : 1097 - 1104
  • [7] Chaotic dynamics of the fractional Lorenz system
    Grigorenko, I
    Grigorenko, E
    [J]. PHYSICAL REVIEW LETTERS, 2003, 91 (03)
  • [8] CHAOS IN A FRACTIONAL ORDER CHUAS SYSTEM
    HARTLEY, TT
    LORENZO, CF
    QAMMER, HK
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1995, 42 (08): : 485 - 490
  • [9] Synchronizing fractional chaotic systems based on Lyapunov equation
    Hu Jian-Bing
    Han Yan
    Zhao Ling-Dong
    [J]. ACTA PHYSICA SINICA, 2008, 57 (12) : 7522 - 7526
  • [10] A chaotic secure communication scheme using fractional chaotic systems based on an extended fractional Kalman filter
    Kiani-B, Arman
    Fallahi, Kia
    Pariz, Naser
    Leung, Henry
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (03) : 863 - 879