Reduced-Order Antisynchronization of Chaotic Systems via Adaptive Sliding Mode Control

被引：0
|
作者：
Jawaada, Wafaa [1 ]
Noorani, M. S. M. [1 ]
Al-Sawalha, M. Mossa [2 ]
Majid, M. Abdul [2 ]
机构：
[1] Univ Kebangsaan Malaysia, Sch Math Sci, Bangi 43600, Selangor, Malaysia
[2] Univ Hail, Fac Sci, Dept Math, Hail 81451, Saudi Arabia
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
SYNCHRONIZATION SCHEME; NONLINEAR CONTROL; COMMUNICATION; ATTRACTOR;
D O I：
10.1155/2013/415652
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A novel reduced-order adaptive sliding mode controller is developed and experimented in this paper to antisynchronize two different chaotic systems with different order. Based upon the parameters modulation and the adaptive sliding mode control techniques, we show that dynamical evolution of third-order chaotic system can be antisynchronized with the projection of a fourth-order chaotic system even though their parameters are unknown. The techniques are successfully applied to two examples: firstly Lorenz (4th-order) and Lorenz (3rd-order) and secondly the hyperchaotic Lu (4th-order) and Chen (3rd-order). Theoretical analysis and numerical simulations are shown to verify the results.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] Synchronization in reduced-order of chaotic systems via control approaches based on high-order sliding-mode observer
    Rodriguez, A.
    De Leon, J.
    Fridman, L.
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 42 (05) : 3219 - 3233
  • [2] Active Sliding Mode Control Antisynchronization of Chaotic Systems with Uncertainties and External Disturbances
    Jawaada, Wafaa
    Noorani, M. S. M.
    Al-Sawalha, M. Mossa
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [3] Synchronization of a Class of Fractional-order Chaotic Systems via Adaptive Sliding Mode Control
    Jiang, Weibo
    Ma, Tiedong
    [J]. 2013 IEEE INTERNATIONAL CONFERENCE ON VEHICULAR ELECTRONICS AND SAFETY (ICVES), 2013, : 229 - 233
  • [4] Reduced-Order Observer and Chattering Reduction for Sliding Mode Control of Nonlinear Systems
    Bartolini, Giorgio
    Punta, Elisabetta
    [J]. PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 8411 - 8416
  • [5] Reduced-Order Observer in the Sliding-Mode Control of Nonlinear Nonaffine Systems
    Bartolini, Giorgio
    Punta, Elisabetta
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (10) : 2368 - 2373
  • [6] Robust synchronization of chaotic systems via adaptive sliding mode control
    Yan, Jun-Juh
    Hung, Meei-Ling
    Chiang, Tsung-Ying
    Yang, Yi-Sung
    [J]. PHYSICS LETTERS A, 2006, 356 (03) : 220 - 225
  • [7] A reduced-order approach to the adaptive fuzzy sliding mode control o the constrained manipulator
    Liang, Yanbing
    Shi, Heng
    Tian, Guangyuan
    [J]. ADVANCES IN MECHANICAL ENGINEERING, 2018, 10 (07)
  • [8] Control of a novel class of fractional-order chaotic systems via adaptive sliding mode control approach
    Yin, Chun
    Dadras, Sara
    Zhong, Shou-ming
    Chen, YangQuan
    [J]. APPLIED MATHEMATICAL MODELLING, 2013, 37 (04) : 2469 - 2483
  • [9] Reduced-order adaptive sliding mode control for nonlinear switching semi-Markovian jump delayed systems
    Jiang, Baoping
    Karimi, Hamid Reza
    Kao, Yonggui
    Gao, Cunchen
    [J]. INFORMATION SCIENCES, 2019, 477 : 334 - 348
  • [10] Reduced-order adaptive control design for the stabilization and synchronization of a class of nonlinear chaotic systems
    Xiao, Jiang-Wen
    Gao, Jiexuan
    Huang, Yuehua
    Wang, Yan-Wu
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 42 (02) : 1156 - 1162
12345