不确定Chua’s电路的参数辨识与自适应同步

针对含有不确定参数的Chua’s电路，提出一种仅需传递单路信号实现混沌自适应同步的方法. 基于Lyapunov稳定性理论证明了该方法可使得两个Chua系统——驱动系统和未知参数的响应系统渐近地达到同步，并且可以辨识出响应系统的未知参数. 数值计算结果表明了该方法的有效性. 关键词： 不确定Chua’s电路 混沌同步 参数辨识 Lyapunov函数

Parameters identification and adaptive synchronization of uncertain Chua's circuit

This paper addresses the adaptive synchronization of two Chua's circuits with uncertain parameters by transmitting one single signal. Based on the Lyapunov stability theory, it is proved that the controller and update rule proposed in this paper can make the states of the driving system and the response system asymptotically synchronized, and with which the uncertain parameters of response system are identified. Numerical simulation results illustrate the effectiveness of proposed method.