Modified projective synchronization of chaotic dissipative gyroscope systems via backstepping control

被引：10
|
作者：
Farivar, F. [1 ]
Nekoui, M. A. [2 ]
Shoorehdeli, M. A. [3 ]
Teshnehlab, M. [2 ]
机构：
[1] Islamic Azad Univ, Sci & Res Branch, Dept Mechatron Engn, Tehran, Iran
[2] KN Toosi Univ Technol, Fac Elect Engn, Dept Control Engn, Tehran, Iran
[3] KN Toosi Univ Technol, Fac Elect Engn, Dept Mechatron Engn, Tehran, Iran
来源：
INDIAN JOURNAL OF PHYSICS | 2012年 / 86卷 / 10期
关键词：
Projective synchronization; Chaos; Backstepping control; Dissipative gyroscope; GENERALIZED SYNCHRONIZATION;
D O I：
10.1007/s12648-012-0139-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper proposes the modified projective synchronization for heavy symmetric dissipative gyroscope systems via backstepping control. Because of the nonlinear terms of the gyroscope system, the system exhibits complex and chaotic motions. Using the backstepping control technique, control laws are established which guarantees the hybrid projective synchronization including synchronization, anti-synchronization and projective synchronization. By Lyapunov stability theory, control laws are proposed to ensure the stability of the controlled closed-loop. Numerical simulations are presented to verify the proposed synchronization approach. This paper demonstrates that synchronization and anti-synchronization can coexist in dissipative gyroscope systems via nonlinear control.
引用
收藏
页码：901 / 906
页数：6
相关论文
共 50 条
  • [1] Modified projective synchronization of chaotic dissipative gyroscope systems via backstepping control
    F. Farivar
    M. A. Nekoui
    M. A. Shoorehdeli
    M. Teshnehlab
    Indian Journal of Physics, 2012, 86 : 901 - 906
  • [2] Modified projective synchronization of unknown chaotic dissipative gyroscope systems via Gaussian radial basis adaptive variable structure control
    Farivar, Faezeh
    Shoorehdeli, Mahdi Aliyari
    Teshnehlab, Mohammad
    Nekoui, Mohammad Ali
    JOURNAL OF VIBRATION AND CONTROL, 2013, 19 (04) : 491 - 507
  • [3] Chaos control and modified projective synchronization of unknown heavy symmetric chaotic gyroscope systems via Gaussian radial basis adaptive backstepping control
    Faezeh Farivar
    Mahdi Aliyari Shoorehdeli
    Mohammad Ali Nekoui
    Mohammad Teshnehlab
    Nonlinear Dynamics, 2012, 67 : 1913 - 1941
  • [4] Chaos control and modified projective synchronization of unknown heavy symmetric chaotic gyroscope systems via Gaussian radial basis adaptive backstepping control
    Farivar, Faezeh
    Shoorehdeli, Mahdi Aliyari
    Nekoui, Mohammad Ali
    Teshnehlab, Mohammad
    NONLINEAR DYNAMICS, 2012, 67 (03) : 1913 - 1941
  • [5] Modified projective synchronization of uncertain unified chaotic systems via backstepping approach
    Luo, R. Z.
    Wang, Y. L.
    Deng, S. C.
    MECHANICAL, MATERIALS AND MANUFACTURING ENGINEERING, PTS 1-3, 2011, 66-68 : 1136 - 1141
  • [6] Generalized projective synchronization of chaotic systems via modified active control
    Li Zhen-Bo
    Zhao Xiao-Shan
    Wang Jing
    ACTA PHYSICA SINICA, 2011, 60 (05)
  • [7] Generalized projective synchronization for chaotic systems via Gaussian Radial Basis Adaptive Backstepping Control
    Farivar, Faezeh
    Shoorehdeli, Mahdi Aliyari
    Nekoui, Mohammad Ali
    Teshnehlab, Mohammad
    CHAOS SOLITONS & FRACTALS, 2009, 42 (02) : 826 - 839
  • [8] Projective synchronization of chaotic system using backstepping control
    Li, GH
    CHAOS SOLITONS & FRACTALS, 2006, 29 (02) : 490 - 494
  • [9] Modified projective synchronization of chaotic systems with disturbances via active sliding mode control
    Cai, Na
    Jing, Yuanwei
    Zhang, Siying
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (06) : 1613 - 1620
  • [10] Control of projective synchronization in chaotic systems
    Xu, DL
    PHYSICAL REVIEW E, 2001, 63 (02):
12345