一类参数不确定混沌系统的反同步

Anti-synchronization for a class of chaotic systems with uncertain parameters

以Lyapunvo稳定性理论为基础,研究一类参数不确定混沌系统的反同步问题.通过自适应控制方法,设计出线性控制器及参数自适应律,得到了一类参数不确定混沌系统完成反同步所需要满足的条件.通过定理证明了设计出的控制器和参数自适应律能够使得参数不确定混沌系统实现反同步.同时,将该方法运用到一类特殊的混沌系统-蔡氏电路,得出了蔡氏电路实现反同步所应选取的控制器和参数自适应律.最后,利用对蔡氏电路混沌系统的数值仿真模拟表明这种方法的有效性.

This paper investigates the chaotic anti-synchronization for a class of chaotic systems with uncertain parameters based on Lyapunov stability theory. Using the adaptive control method and linear feedback with updated law, sufficient conditions for achieving the anti-synchronization based on the parameters identification of uncertain chaotic systems are derived by the Lyapunov stability theory. It is proved that the approaches developed could achieve the anti-synchronization of chaotic systems with uncertain parameters. Furthermore, this method is applied to anti-synchronization in modified Chua＇s circuit with uncertain parameters, and numerical simulations also show that the method is effective and feasibile.