基于符号函数的注入反馈式蔡氏电路同步控制

蔡氏电路的状态变量不易引出,一般的同步控制方法难以硬件电路实现.针对此类含有电感、电容储能元件的混沌电路,提出一种注入反馈式混沌同步电路设计方法,通过引出状态变量,并在状态变量微分量未知的情况下对系统实施混沌控制.利用该方法,对运动行为不同的两个蔡氏系统,实现了基于符号函数的非线性投影同步控制研究,电路实验结果验证了该方法的可行性和有效性.

Chaotic synchronization control of Chua’s circuit by injected feedback based on the symbolic function

Due to the inherent property of the Chua’s circuit, it is difficult to obtain the three state variables directly from the circuit, and the general control method is hard to apply to the circuit. For these chaotic circuits which have energy storage elements, a simple circuit is designed to get the state variables. In addition, an injected feedback method to realize the synchronization is proposed, which can control the circuits with unknown differential variables of the state variables. Two chaotic systems which have different motions are investigated using the symbolic function. All results obtained from the circuits are verified by the effectiveness and feasibility of the above method.