蔡氏电路系统的非线性反馈同步电路实现

Circuit Implementation of Nonlinear Feedback Synchronization for Chua's System

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.

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.