[1]虞继敏[],武卫红[],周尚波[],等. 分数阶复Lorenz混沌系统的控制与同步[J].计算机技术与发展,2016,26(11):130-133.
　YU Ji-min[],WU Wei-hong[],ZHOU Shang-bo[],et al. Control and Synchronization of Fractional Complex Lorenz Chaotic System[J].,2016,26(11):130-133.
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 分数阶复Lorenz混沌系统的控制与同步()
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《计算机技术与发展》[ISSN:1006-6977/CN:61-1281/TN]

卷:
26
期数:
2016年11期
页码:
130-133
栏目:
应用开发研究
出版日期:
2016-11-10

文章信息/Info

Title:
 Control and Synchronization of Fractional Complex Lorenz Chaotic System
文章编号:
1673-629X（2016)11-0130-04
作者:
 虞继敏[1]; 武卫红[1]; 周尚波[2]; 雷烈[1]; 谭礼健[1]
1. 重庆邮电大学 自动化学院；2.重庆大学 计算机学院
Author(s):
 YU Ji-min[1]; WU Wei-hong[1]; ZHOU Shang-bo[2]; LEI Lie[1]; TAN Li-jian[1]
关键词:
 ; 分数阶; 混沌系统; 混沌控制; 同步
Keywords:
 ; fractional order; chaos system; chaotic control; synchronization
分类号:
TP31
文献标志码:
A
摘要:
 基于分数阶非线性系统稳定性理论，设计了线性反馈控制器，实现分数阶复动力学系统的控制；基于矩阵配置控制器的设计方法，实现分数阶复动力学系统的同步。以分数阶复Lorenz系统为例，分别分离原系统各个变量的实部和虚部，研究了分数阶复Lorenz混沌系统的控制问题和同步问题。对分数阶复Lorenz系统的混沌特性进行了分析，然后基于分数阶非线性系统稳定性理论进行了阐述。通过设计反馈控制器，实现了分数阶复Lorenz系统的混沌控制，然后基于分数阶非线性系统稳定性理论，利用矩阵配置方法设计线性反馈控制器，实现分数阶复Lorenz混沌系统的同步。数值仿真实验结果表明，所设计的两种控制器是有效的。
Abstract:
 Based on the stability theorem of the fractional nonlinear system,the stability control of fractional chaotic system is realized by a linear feedback controller designed,and based on the method of the matrix configuration,the synchronization of fractional chaotic sys-tem is implemented. Taking fractional complex Lorenz system as an example,the real part and imaginary part of each variable in original system is separated to study the problem of synchronization and chaos control. Firstly,chaotic characteristics of fractional complex Lorenz system are analyzed,and the stability theorem based on the fractional-order nonlinear system is discussed. The stability control of frac-tional chaotic system is realized by a linear feedback controller designed. Then,based on the stability theorem of the fractional-order non-linear system,the chaotic system synchronization is implemented by using matrix configuration method. The numerical simulation con-firms the efficiency of the proposed control method and synchronization method.

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更新日期/Last Update: 2016-12-16