SYNCHRONIZATION OF UNCERTAIN HYPERCHAOTIC AND CHAOTIC SYSTEMS BY ADAPTIVE CONTROL

被引:10
|
作者
Liu, Zhi-Yu [2 ]
Liu, Chia-Ju [3 ]
Ho, Ming-Chung [1 ]
Hung, Yao-Chen [4 ]
Hsu, Tzu-Fang [5 ]
Jiang, I-Min [2 ]
机构
[1] Natl Kaohsiung Normal Univ, Dept Phys, Kaohsiung 824, Taiwan
[2] Natl Sun Yat Sen Univ, Dept Phys, Kaohsiung 804, Taiwan
[3] Natl Kaohsiung Normal Univ, Grad Inst Sci Educ, Kaohsiung 824, Taiwan
[4] Acad Sinica, Inst Phys, Taipei 115, Taiwan
[5] Natl PingTung Univ Educ, Dept Appl Phys, Pingtung 900, Taiwan
来源
关键词
Adaptive control; hyperchaotic system; synchronization;
D O I
10.1142/S0218127408022688
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper presents the synchronization between uncertain hyperchaotic and chaotic systems. Based on Lyapunov stability theory, an adaptive controller is derived to achieve synchronization of hyperchaotic and chaotic systems, including the case of unknown parameters in these two systems. The T. N.C. hyperchaotic oscillator is used as the master system, and the Rossler system is used as the slave system. Numerical simulations verify these results. Additionally, the effect of noise is investigated by measuring the mean squared error (MSE) of two systems.
引用
收藏
页码:3731 / 3736
页数:6
相关论文
共 50 条
  • [21] Adaptive synchronization of uncertain chaotic systems with adaptive scaling function
    Xu, Yuhua
    Zhou, Wuneng
    Fang, Jian'an
    Sun, Wen
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (09): : 2406 - 2416
  • [22] Fuzzy adaptive synchronization of uncertain chaotic systems via delayed feedback control
    Zhang, Lingling
    Huang, Lihong
    Zhang, Zhizhou
    Wang, Zengyun
    [J]. PHYSICS LETTERS A, 2008, 372 (39) : 6082 - 6086
  • [23] Synchronization of uncertain chaotic systems via an adaptive terminal sliding mode control
    Yang, Xiaohui
    Li, Tieshan
    Fang, Liyou
    [J]. PROCESSING OF 2014 INTERNATIONAL CONFERENCE ON MULTISENSOR FUSION AND INFORMATION INTEGRATION FOR INTELLIGENT SYSTEMS (MFI), 2014,
  • [24] Rubost adaptive fault-tolerant synchronization control for uncertain chaotic systems
    [J]. Song, Ge, 1600, Editorial Department of Electric Machines and Control (21):
  • [25] Anti-synchronization of chaotic systems with uncertain parameters via adaptive control
    Al-sawalha, M. Mossa
    Noorani, M. S. M.
    [J]. PHYSICS LETTERS A, 2009, 373 (32) : 2852 - 2857
  • [26] A modification of Pragmatical generalized synchronization of chaotic systems with uncertain parameters by adaptive control
    Zhang, Wenguang
    Lei, Junwei
    Liang, Guoqiang
    [J]. SMART MATERIALS AND INTELLIGENT SYSTEMS, 2012, 442 : 375 - 378
  • [27] On control and synchronization in chaotic and hyperchaotic systems via linear feedback control
    Rafikov, Marat
    Balthazar, Jose Manoel
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (07) : 1246 - 1255
  • [28] Robust adaptive synchronization of uncertain unified chaotic systems
    Hamid R. Koofigar
    Saeed Hosseinnia
    Farid Sheikholeslam
    [J]. Nonlinear Dynamics, 2010, 59 : 477 - 483
  • [29] Global adaptive synchronization of chaotic systems with uncertain parameters
    Li, Z
    Han, CZ
    [J]. CHINESE PHYSICS, 2002, 11 (01): : 9 - 11
  • [30] Synchronization of uncertain chaotic systems via adaptive backstepping
    Wang, C
    Ge, SS
    [J]. PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 4827 - 4832