一类基于广义观测器的混沌系统自适应同步方法

Generalized Observer-based Adaptive Synchronization of A Class of Chaotic Systems

通过设计广义观测器来实现了一类混沌系统的同步。在参数不确定而且带有噪声的条件下,这种基于广义观测器的自适应同步方法不仅完成了驱动与响应系统的同步,而且使得信息信号被正确地接收。不必计算Lipschitz常数,也不必知道不确定参数的范围界限,但是Lyapunov方法仍然保证了误差系统的全局渐近稳定性。最后,通过对Rucklidge混沌系统的数值仿真验证了该方法的有效性。

This paper investigated synchronization problem of a class of chaotic systems via generalized observer method.When some parameters were unknown and there existed noise disturbances in the state equation of chaotic system,the new robust adaptive synchronization scheme proposed not only achieved chaos synchronization,but also received message signal satisfactorily.Although Lipschitz constants of function matrices and bounds of uncertainties were unknown,the Lyapunov approached guarantees the error system stability of the overall systems.Finally,Rucklidge chaotic system was chosen to verify the proposed scheme＇s success in numerical simulation.