Synchronization between a novel class of fractional-order and integer-order chaotic systems via a sliding mode controller

被引：12
|
作者：
Chen Di-Yi [1 ]
Zhang Run-Fan [1 ]
Ma Xiao-Yi [1 ]
Wang Juan [1 ]
机构：
[1] NW A&F Univ, Dept Elect Engn, Coll Water Resources & Architectural Engn, Yangling 712100, Peoples R China
来源：
CHINESE PHYSICS B | 2012年 / 21卷 / 12期
基金：
中国国家自然科学基金;
关键词：
synchronization; fractional-order system; integer-order chaotic system; sliding mode;
D O I：
10.1088/1674-1056/21/12/120507
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In order to figure out the dynamical behaviour of a fractional-order chaotic system and its relation to an integer-order chaotic system, in this paper we investigate the synchronization between a class of fractional-order chaotic systems and integer-order chaotic systems via sliding mode control method. Stability analysis is performed for the proposed method based on stability theorems in the fractional calculus. Moreover, three typical examples are carried out to show that the synchronization between fractional-order chaotic systems and integer-orders chaotic systems can be achieved. Our theoretical findings are supported by numerical simulation results. Finally, results from numerical computations and theoretical analysis are demonstrated to be a perfect bridge between fractional-order chaotic systems and integer-order chaotic systems.
引用
下载
收藏
页数：6
相关论文
共 50 条
  • [21] Design of sliding mode controller for a class of fractional-order chaotic systems
    Yin, Chun
    Zhong, Shou-ming
    Chen, Wu-fan
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (01) : 356 - 366
  • [22] Circuit simulation for synchronization of a fractional-order and integer-order chaotic system
    Chen, Diyi
    Wu, Cong
    Iu, Herbert H. C.
    Ma, Xiaoyi
    NONLINEAR DYNAMICS, 2013, 73 (03) : 1671 - 1686
  • [23] Circuit simulation for synchronization of a fractional-order and integer-order chaotic system
    Diyi Chen
    Cong Wu
    Herbert H. C. Iu
    Xiaoyi Ma
    Nonlinear Dynamics, 2013, 73 : 1671 - 1686
  • [24] Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems)
    Zhou Ping
    Cheng Yuan-Ming
    Kuang Fei
    CHINESE PHYSICS B, 2010, 19 (09)
  • [25] Adaptive modified generalized function projection synchronization between integer-order and fractional-order chaotic systems
    Guan, Junbiao
    OPTIK, 2016, 127 (10): : 4211 - 4216
  • [26] Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems)
    周平
    程元明
    邝菲
    Chinese Physics B, 2010, 19 (09) : 237 - 242
  • [27] Different Generalized Synchronization Schemes Between Integer-Order and Fractional-Order Chaotic Systems with Different Dimensions
    Ouannas A.
    Karouma A.
    Differential Equations and Dynamical Systems, 2018, 26 (1-3) : 125 - 137
  • [28] Synchronization of Chaotic Fractional-order Systems via Fractional-Order Adaptive Controller
    Fayazi, Ali
    EMERGING SYSTEMS FOR MATERIALS, MECHANICS AND MANUFACTURING, 2012, 109 : 333 - 339
  • [29] Design of an adaptive sliding mode controller for synchronization of fractional-order chaotic systems
    Pan Guang
    Wei Jing
    ACTA PHYSICA SINICA, 2015, 64 (04)
  • [30] On Inverse Problem of Generalized Synchronization Between Different Dimensional Integer-Order and Fractional-Order Chaotic Systems
    Ouannas, Adel
    Azar, Ahmad Taher
    Radwan, Ahmed G.
    2016 28TH INTERNATIONAL CONFERENCE ON MICROELECTRONICS (ICM 2016), 2016, : 193 - 196
12345