Projective synchronization of fractional-order chaotic systems based on sliding mode control

被引：12

作者：

Liu Ding ^{[1
]}

Yan Xiao-Mei ^{[1
]}

机构：

[1] Xian Univ Technol, Sch Automat & Informat Engn, Xian 710048, Peoples R China

来源：

ACTA PHYSICA SINICA | 2009年 / 58卷 / 06期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

fractional-order chaotic system; sliding mode control; projective synchronization;

D O I：

10.7498/aps.58.3747

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For the projective synchronization of fractional-order chaotic systems, a controller based on active sliding mode theory is presented. Based on the stability theory of fractional-order linear system, stability of the proposed method is analysed. Two cases of projective synchronization I i.e. identical fractional-order Liu-Liu systems and different fractional-order Chen-Liu systems, are implemented separately. The simulation results show the effectiveness of the proposed controller.

引用

页码：3747 / 3752

页数：6

共 18 条

[11] Chaotic dynamics of the fractional-order Lu system and its synchronization [J].

Lu, Jun Guo .

PHYSICS LETTERS A, 2006, 354 (04) :305-311

[12] Projective synchronization in three-dimensional chaotic systems [J].

Mainieri, R ;

Rehacek, J .

PHYSICAL REVIEW LETTERS, 1999, 82 (15) :3042-3045

[13]

MATIGNON D, 1996, IMACS SMC P LILL FRA

[14]

Podlubny I., 1998, Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

[15] Controlling projective synchronization in coupled fractional order chaotic Chen system [J].

Shao Shi-Quan ;

Gao Xin ;

Liu Xing-Wen .

ACTA PHYSICA SINICA, 2007, 56 (12) :6815-6819

[16] A necessary condition for double scroll attractor existence in fractional-order systems [J].

Tavazoei, Mohammad Saleh ;

Haeri, Mohammad .

PHYSICS LETTERS A, 2007, 367 (1-2) :102-113

[17] Projective synchronization of the fractional order unified system [J].

Wang Xing-Yuan ;

He Yi-Jie .

ACTA PHYSICA SINICA, 2008, 57 (03) :1485-1492

[18] Chaos in fractional-order Liu system and a fractional-order unified system and the synchronization between them [J].

Zhang Cheng-Fen ;

Gao Jin-Feng ;

Xu Lei .

ACTA PHYSICA SINICA, 2007, 56 (09) :5124-5130

← 1 2 →