系统参数完全未知的一个新超混沌系统自适应修正投影同步

Adaptive Modified Projective Synchronization of a New Hyperchaotic System with Fully Unknown Parameters

基于Lyapunov稳定性原理,在驱动系统和响应系统参数完全未知的情况下,设计自适应控制器和参数更新准则,使得两个不同或相同混沌系统同步,并能辨识出系统参数,同时可以通过调节控制增益和自适应增益来调整同步速度和参数辨识速度.作为该方法的应用,对超混沌Chen系统和一个新的超混沌系统实现了修正投影同步.数值仿真证明了所提方法的正确性.

Based on Lyapunov stability theory, when the parameters of drive systems and response systems are fully unknown; general methods for adaptive controllers and parameters update laws are proposed to synchronize two different or identical hyperchaotic systems and identify the unknown parameters. Moreover, the speed of synchronization and parameters identification can be regulated by adjusting the control gains designed in the controllers. Meanwhile, the modified synchronization of hyperchaotic Chen system and a new hyperehaotic system is given as an application of the proposed method. The corresponding simulations are exploited to demonstrate the effectiveness of the method.