L.C振子超混沌系统的参数辨析

对于L.C振子超混沌系统的未知参数提出一种简单的辨析方法,首先通过对系统实行反馈控制使其到达任意不动点,其次通过求解不动点的平衡方程,解析得到系统未知参数的表达式,当超混沌系统参数发生阶跃变化时也能实现准确辨析,数值计算结果和理论分析一致。该方法对于研究其他超混沌系统结构具有一定的理论意义。

Parameters identification of L.C oscillator hyperchaotic system

It analytically gives the form of observer for unknown parameters of L.C oscillator by controlling the hyperchaotic system to reach desired orbit or stable point. It is easy to get the frondose form of observer for unknown parameters by solving the equilibrium equation when the system was led to the desired stable points. This method is more powerful and useful compared with the traditional linear observer method because it can find all the unknown parameters altogether. It realizes parameters identification successfully for the unknown parameters even when the parameters jump or vary. The numerical simulation results are consistent with the theory analysis, and the method proposed in this paper can be used to study other hyperchaotic system for parameters identification.