Adaptive impulsive synchronization of nonlinear chaotic systems

被引:20
作者
Chen, Yen-Sheng [1 ,2 ]
Chang, Chien-Cheng [1 ,2 ,3 ]
机构
[1] Natl Taiwan Univ, Inst Appl Mech, Taipei 106, Taiwan
[2] Natl Taiwan Univ, Ctr Adv Studies Theoret Sci, Taipei 106, Taiwan
[3] Acad Sinica, Div Mech, Res Ctr Appl Sci, Taipei 115, Taiwan
关键词
Impulsive control; Synchronization; Adaptive estimation; STABILIZATION;
D O I
10.1007/s11071-012-0574-0
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper, an adaptive impulse control with only one restriction criterion is derived to achieve synchronization of nonlinear chaotic systems in the exponential rate of convergence. It is assumed that the system satisfies the local Lipschitz condition and the Lipschitz constant is estimated by an augmented adaptation equation. The significance of the related control parameters in the criterion is also discussed in detail. The Duffing and the Lorenz systems have been simulated to illustrate the theoretical analysis.
引用
收藏
页码:1795 / 1803
页数:9
相关论文
共 50 条
  • [31] Projective synchronization of a class of delayed chaotic systems via impulsive control
    Cao, Jinde
    Ho, Daniel W. C.
    Yang, Yongqing
    PHYSICS LETTERS A, 2009, 373 (35) : 3128 - 3133
  • [32] Adaptive synchronization of discrete chaotic systems
    Wang, ZL
    Zhang, HG
    2002 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-4, PROCEEDINGS, 2002, : 336 - 339
  • [33] Impulsive Control and Synchronization of Memristor-Based Chaotic Circuits
    Yang, Shiju
    Li, Chuandong
    Huang, Tingwen
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (12):
  • [34] Adaptive H∞ synchronization of chaotic systems via linear and nonlinear feedback control
    付士慧
    陆启韶
    杜莹
    Chinese Physics B, 2012, 21 (06) : 121 - 129
  • [35] Generalized intermittent control and its adaptive strategy on stabilization and synchronization of chaotic systems
    Hu, Cheng
    Yu, Juan
    CHAOS SOLITONS & FRACTALS, 2016, 91 : 262 - 269
  • [36] Impulsive Control and Synchronization of a Critical Chaotic System
    ZHANG Qunjiao
    WuhanUniversityJournalofNaturalSciences, 2007, (03) : 426 - 430
  • [37] Linear generalized synchronization of chaotic systems via impulsive control
    Hu, AH
    Li, F
    Zhang, R
    Xu, ZY
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 563 - 570
  • [38] Synchronization of chaotic gyros systems with adaptive sliding mode control
    Yin Lijian
    Deng Zhihong
    Xia Yuanqing
    Huo Baoyu
    PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 5509 - 5514
  • [39] ADAPTIVE SYNCHRONIZATION OF TWO CHAOTIC CHEN SYSTEMS WITH UNKNOWN PARAMETERS
    Khordad, R.
    Dehghani, M. A.
    Dehghani, A.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2014, 25 (02):
  • [40] A hybrid impulsive and switching control strategy for synchronization of nonlinear systems and application to Chua's chaotic circuit
    Guan, ZH
    Hill, DJ
    Yao, J
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (01): : 229 - 238