ADAPTIVE OBSERVER BASED SYNCHRONIZATION OF A CLASS OF UNCERTAIN CHAOTIC SYSTEMS

被引:5
|
作者
Bowong, Samuel [1 ]
Yamapi, Rene [2 ]
机构
[1] Univ Douala, Dept Math & Comp Sci, Lab Appl Math, Fac Sci, Douala, Cameroon
[2] Univ Douala, Fac Sci, Dept Phys, Douala, Cameroon
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2008年 / 18卷 / 08期
关键词
Chaotic systems; adaptive synchronization; robust adaptive observers;
D O I
10.1142/S0218127408021798
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This study addresses the adaptive synchronization of a class of uncertain chaotic systems in the drive-response framework. For a class of uncertain chaotic systems with parameter mismatch and external disturbances, a robust adaptive observer based on the response system is constructed to practically synchronize the uncertain drive chaotic system. Lyapunov stability theory ensures the practical synchronization between the drive and response systems even if Lipschitz constants on function matrices and bounds on uncertainties are unknown. Numerical simulation of two illustrative examples are given to verify the effectiveness of the proposed method.
引用
收藏
页码:2425 / 2435
页数:11
相关论文
共 50 条
  • [41] Robust synchronization of a class of chaotic systems based on integral observer method
    Li Xiu-Chun
    Xu Wei
    Xiao Yu-Zhu
    ACTA PHYSICA SINICA, 2008, 57 (03) : 1465 - 1470
  • [42] Disturbance observer based adaptive fuzzy synchronization controller design for uncertain fractional-order chaotic systems
    Chen, Youjun
    Wang, Feng
    FRONTIERS IN APPLIED MATHEMATICS AND STATISTICS, 2022, 8
  • [43] Observer based synchronization of chaotic systems
    Morgul, O
    Solak, E
    PHYSICAL REVIEW E, 1996, 54 (05) : 4803 - 4811
  • [44] Adaptive observer-based exact synchronization of mismatched chaotic systems
    Bowong, Samuel
    Kagou, A. Temgoua
    Kakmeni, F. M. Moukam
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (09): : 2681 - 2688
  • [45] Adaptive Generalized Synchronization for Chaotic Systems With Unknown Parameters based on Observer
    Duan, Yubo
    Zhou, Luanjie
    Wang, Ruiyun
    Shao, Keyong
    Chang, Tao
    Zhang, Yishu
    2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 1684 - +
  • [46] Adaptive observer-based control for a class of chaotic systems
    Hua, CC
    Guan, XP
    Li, XL
    Shi, P
    CHAOS SOLITONS & FRACTALS, 2004, 22 (01) : 103 - 110
  • [47] CMAC-based adaptive backstepping synchronization of uncertain chaotic systems
    Lin, Chih-Min
    Peng, Ya-Fu
    Lin, Ming-Hung
    CHAOS SOLITONS & FRACTALS, 2009, 42 (02) : 981 - 988
  • [48] Adaptive synchronization of uncertain Genesio chaotic systems based on parameter identification
    Feng, Jian-Wen
    Xu, Chen
    Zhang, Wei-Qiang
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2007, 8 (03) : 419 - 424
  • [49] Synchronization of a class of chaotic systems in the presence of perturbation by an observer
    Guan, XP
    He, YH
    Fan, ZP
    ACTA PHYSICA SINICA, 2003, 52 (02) : 276 - 280
  • [50] Adaptive synchronization of uncertain chaotic systems with adaptive scaling function
    Xu, Yuhua
    Zhou, Wuneng
    Fang, Jian'an
    Sun, Wen
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (09): : 2406 - 2416