一类混沌电路的跃变参数识别与同步*

基于李亚普诺夫稳定性理论和矩阵理论，用两种方法对一类混沌电路系统参数发生跃变情况下的参数识别与同步控制进行了理论分析和数值计算机模拟。第一种方法是通过负反馈将系统镇定到某个稳定态来识别系统的跃变参数（系统参数突然发生阶跃性变化），通过计算李亚普诺夫指数获得反馈系数临界值。第二种方法是基于李亚普诺夫稳定性理论得到的参数观测器包含了可调节的增益系数，当两个混沌系统达到完全同步时驱动系统的5个未知参数在阶跃变化情况下也可以被准确识别。最后对两种方法的优缺点进行了比较和分析。

Synchronization and estimation of jump parameter of one certain chaotic circuit

Based on the Lyapunov stability and matrix theory, two schemes are used to estimate the un-known jump parameters of one certain chaotic circuit and complete synchronization is realized. Theoretical analysis is given and checked by the numerical simulation. Within the first scheme, some unknown jump parameters(parameters jump suddenly) are identified completely by stabilizing the chaotic system to stable state and the critical value for negative feedback coefficient can be found by calculating the conditional Lya-punov exponents of the controlled system. Within the second scheme, parameter observers and controllers with controllable gain coefficient are approached theoretically by using the Lyapunov stability theory. Five unknown parameters are estimated exactly within short transient period when the two chaotic circuits reach complete synchronization. The two schemes are compared and discussed in brief.