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变型蔡氏电路混沌同步的非线性反馈控制
引用本文:刘扬正,费树岷,李平. 变型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): 1448-1451
作者姓名:刘扬正  费树岷  李平
作者单位:1. 东南大学自动控制系,江苏,南京,210096;南京工程学院基础部,江苏,南京,210013
2. 东南大学自动控制系,江苏,南京,210096
3. 南京工程学院基础部,江苏,南京,210013
基金项目:教育部高校博士点基金(20030286013),江苏省自然科学基金(02KJD140015)资助课题
摘    要:混沌同步是实施混沌保密通讯的基础,非线性反馈是实现混沌同步的重要方法。蔡氏混沌电路及变型蔡氏混沌电路是应用广泛的混沌模型之一。对变型蔡氏电路混沌同步设计了非线性反馈同步控制器;根据Hurwitz稳定性判据得到反馈控制增益的取值范围。基于该方法,构建了实现混沌系统同步控制的实验电路,系统仿真和电路实验结果表明采用非线性反馈控制可以保证实现变型蔡氏电路混沌系统一致指数同步化。

关 键 词:非线性反馈控制  混沌同步  变型蔡氏电路  Hurwitz判据
文章编号:1001-506X(2005)08-1448-04
修稿时间:2004-09-16

Chaos synchronization in the modified Chua''''s circuits with a single variable of nonlinear feedback control
LIU Yang-zheng,FEI Shu-min,LI Ping. Chaos synchronization in the modified Chua''''s circuits with a single variable of nonlinear feedback control[J]. System Engineering and Electronics, 2005, 27(8): 1448-1451
Authors:LIU Yang-zheng  FEI Shu-min  LI Ping
Affiliation:LIU Yang-zheng~
Abstract:Chaos synchronization is a basic technique for secure communication, and nonlinear feedback control is an important approach to achieve chaos synchronization. Both Chua's circuit and modified Chua's circuit are chaotic models widely applied. A nonlinear feedback controller is designed for chaos synchronization in modified Chua's circuits. The range of feedback coefficient is obtained using the Hurwitz stability theorem. Based on the method of nonlinear feedback control, the circuit design is implemented in laboratory. The results of numerical simulation and circuit experiment show that chaos is synchronized uniformly exponentially in modified Chua's circuits via a single variable of nonlinear feedback control.
Keywords:nonlinear feedback control  chaos synchronization  modified Chua's circuits  Hurwitz theorem
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