基于观测器的混沌投影同步

研究一种基于状态观测器的混沌投影同步,得到驱动系统和响应系统对应变量成比例.该设计方案从系统稳定性出发,通过极点配置和设计驱动系统的状态观测器,得到控制器,实现了一类离散混沌系统的投影同步.在混沌控制过程,改变奴役系统的控制器使比例因子增大或减小.因此,根据需要可以任意改变比例因子,实现相空间自由地拉伸和收缩,这一特性在保密通信方面有一定的应用前景.通过对Henon混沌系统和超混沌广义Henon映射的数值仿真,表明理论分析的正确性.

Projective synchronization in chaotic systems based on observer

Based on state-observer, projective synchronization in a general class of chaotic system is studied, where the corresponding variables between the drive system and the response system are proportional. From the stability of the system, the controller is derived through the pole placement technique by designing the state-observer of the drive system. The projective synchronization could be realized in a general class of discrete syst, ems. It allows us to arbitrarily amplify or reduce the scale via a feedback control on the slave system in controlling chaos. It is shown that the phase space of response system can be expanded or compressed flexibly as demanded by adjusting the scaling factor arbitrarily. This property makes it potentially useful in secure communication. In addition, the Henon map and the hyperchaotic generalized Henon map are used to show the rightness of the theoretical analysis.