Reduced-order adaptive control design for the stabilization and synchronization of a class of nonlinear chaotic systems

被引:4
|
作者
Xiao, Jiang-Wen [1 ]
Gao, Jiexuan [1 ]
Huang, Yuehua [1 ]
Wang, Yan-Wu [1 ]
机构
[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China
基金
中国国家自然科学基金;
关键词
FEEDBACK SYNCHRONIZATION; CIRCUIT;
D O I
10.1016/j.chaos.2009.03.005
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Strategies to design reduced-order adaptive controllers using only part of the system states for the stabilization of one chaotic system and the synchronization of two chaotic systems are proposed for a general class of chaotic systems. Compared with those existed results, the adaptive controllers presented in this paper can globally exponentially stabilize the chaotic systems and can globally exponentially synchronize the two chaotic systems under certain conditions, and therefore can improve the convergence rate of the control processes. Simulation results also verify the effectiveness of the proposed control schemes. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1156 / 1162
页数:7
相关论文
共 50 条
  • [1] Reduced-order observer design for the synchronization of the generalized Lorenz chaotic systems
    Zhang, Zhengqiang
    Shao, Hanyong
    Wang, Zhen
    Shen, Hao
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (14) : 7614 - 7621
  • [2] Reduced-order impulsive control for a class of nonlinear systems
    Wang, Yan-Wu
    Wen, Changyun
    Soh, Yeng Chai
    Xiao, Jiang-Wen
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (08) : 892 - 898
  • [3] Reduced-order controller design for stabilization of Lipschitz nonlinear systems
    Lu, GP
    Wang, DM
    Sun, YK
    [J]. 2005 INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA), VOLS 1 AND 2, 2005, : 471 - 473
  • [4] Reduced-order synchronization of fractional order chaotic systems with fully unknown parameters using modified adaptive control
    Al-Sawalha, M. Mossa
    Shoaib, M.
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (04): : 1815 - 1825
  • [5] Reduced-order synchronization of chaotic systems with parameters unknown
    Ho, MC
    Hung, YC
    Liu, ZY
    Jiang, IM
    [J]. PHYSICS LETTERS A, 2006, 348 (3-6) : 251 - 259
  • [6] A simple adaptive control for full and reduced-order synchronization of uncertain time-varying chaotic systems
    Vincent, U. E.
    Guo, Rongwei
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (11) : 3925 - 3932
  • [7] Reduced-order sliding function design for a class of nonlinear systems
    Khimani, Deepti
    Patil, Machhindranath
    Bandyopadhyay, Bijnan
    Behera, Abhisek K.
    [J]. ASIAN JOURNAL OF CONTROL, 2020, 22 (04) : 1437 - 1446
  • [8] Nonlinear adaptive synchronization of a class of chaotic systems
    Kakmeni, F. M. Moukam
    Bowong, Samuel
    Tchawoua, Clement
    [J]. PHYSICS LETTERS A, 2006, 355 (01) : 47 - 54
  • [9] Adaptive Reduced-Order Modified Function Projective Synchronization of Chaotic Systems with Uncertain Parameters
    Wang Jian-an
    [J]. PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 3998 - 4001
  • [10] Adaptive reduced-order anti-synchronization of chaotic systems with fully unknown parameters
    Al-sawalha, M. Mossa
    Noorani, M. S. M.
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (10) : 3022 - 3034