[1]马美玲,闵富红,邵书义,等.蔡氏电路系统的非线性反馈同步电路实现[J].南京师范大学学报(工程技术版),2013,13(03):001-8.
　Ma Meiling,Min Fuhong,Shao Shuyi,et al.Circuit Implementation of Nonlinear Feedback Synchronization for Chua’s System[J].Journal of Nanjing Normal University(Engineering and Technology),2013,13(03):001-8.
点击复制

蔡氏电路系统的非线性反馈同步电路实现
分享到：

南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
13卷
期数:
2013年03期
页码:
001-8
栏目:
出版日期:
2013-09-30

文章信息/Info

Title:
Circuit Implementation of Nonlinear Feedback Synchronization for Chua’s System
作者:
马美玲; 闵富红; 邵书义; 黄苗玉
南京师范大学电气与自动化工程学院,江苏 南京 210042
Author(s):
Ma Meiling; Min Fuhong; Shao Shuyi; Huang Miaoyu
School of Electrical and Automatic Engineering,Nanjing Normal University,Nanjing 210042,China
关键词:
蔡氏电路; 符号函数; 投影同步
Keywords:
Chua’s circuit; sign function; synchronization control
分类号:
TP391.3
文献标志码:
A
摘要:
针对经典三阶蔡氏电路模型,通过电路无量纲方程的变换推导,直接从电路中引出3个系统状态变量,突破原先只能分析两个状态变量的传统简单模式,并提出一种利用符号函数的非线性投影同步控制方法.基于Multisim11电路仿真软件,设计相应电路实现初始值不同的两个混沌系统的投影同步控制.通过电路模拟验证了设计的正确性,为今后混沌系统同步的研究提供了新的思路.
Abstract:
From Chua’s non-dimension state equation,three state variables can be obtained directly.It will make a breakthrough over the simple conventional mode which can only analyze two state variables,without destroying the structure of the circuit.A new idea of control circuit about the sign function is designed to realize the nonlinear feedback synchronization for two Chua systems with different methods.Based on the software Circuit Simulation Multisim 11,the circuit experiments are performed to confirm the feasibility of our method and also provide a new idea for the further investigation of synchronization.

参考文献/References:

[1] 邵书义,闵富红,王恩荣.四阶蔡氏电路的数值仿真分析与电路实现[J].南京师范大学学报:工程技术版,2012,12(3):6-9.
Shao Shuyi,Min Fuhong,Wang Enrong.Numerical simulation analysis and circuit implementation of four-order Chua’s system[J].Journal of Nanjing Normal University:Engineering and Technology Edition,2012,12(3):6-9.(in Chinese)
[2]Hu M F,Xu Z Y.Adaptive feedback controller for projective synchronization[J].Nonlinear Analysis RWA,2008,9(3):1 253-1 260.
[3]闵富红,王执铨.两个四维混沌系统广义投影同步[J].物理学报,2007,56(11):6 238-6 244.
Min Fuhong,Wang Zhiquan.Generalized projective synchronization of two four-dimensional chaotic systems[J].Acta Physica Sinica,2007,56(11):6 238-6 244.(in Chinese)
[4]Li C P,Deng W H,Xu D.Chaos synchronization of the Chua system with a fractional order[J].Physics A,2006,360(2):171-185.
[5]李农,李建芬,刘宇平,等.基于线性反馈控制的不确定混沌系统的参数辨识[J].物理学报,2008,57(3):1 404-1 407.
Li Nong,Li Jianfen,Liu Yuping,et al.Parameter identification based on linear feedback control for uncertain chaotic system[J].Acta Physica Sinica,2008,57(3):1 404-1 407.(in Chinese)
[6]禹思敏.混沌系统与混沌电路—原理、设计及其在通信中的应用[M].西安:西安电子科技大学出版社,2011.
Yu Simin.Chaotic Systems and Chaotic Circuits-Principle,Design and Its Application in Communications[M].Xi’an:Xidian University Publishing House,2011.(in Chinese)
[7]冯朝文,蔡理,康强,等.一种新的三维自治混沌系统[J].物理学报,2011,60(3):1-7.
Feng Caowen,Cai Li,Kang Qiang,et al.A novel three-dimensional autonomous chaotic system[J].Acta Physica Sinica,2011,60(3):1-7.(in Chinese) [8]李亚,张正明,陶志杰.一个超混沌六阶蔡氏电路及其硬件实现[J].物理学报,2009,58(10):6 818-6 821. Li Ya,Zhang Zhengming,Tao Zhijie.A hyperchaotic sixth-order Chua’s circuit and its hardware implementation[J].Acta Physica Sinica,2009,58(10):6 818-6 821.(in Chinese) [9]邵克勇,马永晶,王婷婷,等.不确定混沌系统的异结构同步[J].物理学报,2013,62(2):020511:1-7. Shao Keyong,Ma Yongjing,Wang Tingting,et al.Synchronization with different structures of uncertain chaotic system.[J].Acta Physica Sinica,2013,62(2),020511:1-7.(in Chinese) [10]刘扬正,费树岷,李平.变形蔡氏电路混沌同步的非线性反馈控制[J].系统工程与电子技术,2005,27(8):1 448-1 451. Liu Yangzheng,Fei Shumin,Li Ping.Chaos synchronization in the modif ied Chua’s circuits with a single variable of nonl inear feedback control[J].Systems Engineering and Electronics,2005,27(8):1 448-1 451.(in Chinese) [11]李雷,李文石.基于功耗特征的蔡氏电路混沌复杂性研究[J].电路与系统学报,2012,17(2):72-75. Li Lei,Li Wenshi.The investigation of chaos complexity based on Chua’s circuit power consumption.[J].Journal of Circuits and Systems,2012,17(2):72-75.(in Chinese)

相似文献/References:

[1]李 闯,闵富红,吕晏旻.有源荷控忆阻系统的多稳态分析及电路实现[J].南京师范大学学报(工程技术版),2019,19(01):019.[doi:10.3969/j.issn.1672-1292.2019.01.003]
　Li Chuang,Min Fuhong,Lü Yanmin.Multi-Stability Analysis of an Active Charge-ControlledMemristive System and Circuit Implementation[J].Journal of Nanjing Normal University(Engineering and Technology),2019,19(03):019.[doi:10.3969/j.issn.1672-1292.2019.01.003]

备注/Memo

备注/Memo:
收稿日期:2013-05-15.
基金项目:国家自然科学基金(51075275)、教育部留学回国人员启动基金(教外司[2012]1707)、江苏省自然科学基金、江苏省六大人才高峰资助课题、江苏省研究生创新实践项目(CXLX13_391).
通讯联系人:闵富红,博士,副教授,研究方向:混沌系统同步与控制.E-mail:minfuhong@njnu.edu.cn
更新日期/Last Update: 2013-09-30