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
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