分数阶Chua’s系统错位同步无感模块化电路实现及应用

Non-inductive modular circuit of dislocated synchronization of fractional-order Chua's system and its application

基于分数阶混沌系统稳定性理论,设计高效的非线性控制器,实现初始值不同的两个分数阶Chua’s系统错位投影同步.根据分数阶复频域近似方法,提出分数阶系统的等效电路,实现分数阶Chua’s系统错位投影同步的无感模块化电路.最后,利用改进的混沌掩盖通信原理,将以上同步方案应用于混沌保密通信中,在发送端使用分数阶混沌序列对有用信号加密传送,从接收端可以无失真地恢复出有用信号.数值仿真与电路仿真证实了提出方案的可行性.

In this paper, from the stability theory of fractional-order chaotic system, a kind of dislocated projective syncnromzatlon for fractional-order Chua＇s system is successfully completed through a nonlinear controller. Meanwhile, the fractional-order unit circuit is designed, according to the series-parallel structure of resistor-capacitor and the approximate linear transfer function expression for the complex frequency domain. Thus, non-inductive modular circuit of dislocated projective synchronization of fractional-order Chua＇s system is realized. The circuit simulation results prove the feasibility of the scheme. Furthermore, the method can be applied in secure communication through the improved chaotic masking. The information signal can be concealed and recovered. Numerical simulation results show the effectiveness of the proposed method.