具有传输干扰的混沌全状态射影同步

针对具有传输干扰的混沌系统的同步问题,提出一种新的全状态射影同步方案.利用Lyapunov稳定性理论,设计了混沌系统的非线性观测器,得到了具有传输干扰的混沌系统射影同步的充分条件.该方案不仅能够得到以特定缩放因子的射影同步,并且可以在不降低可控性的条件下,根据控制的情况,任意调整缩放因子.利用鲁棒稳定性理论进一步证明了所提方案可大大减小传输干扰对混沌射影同步的影响,从而得到了满意的混沌全状态射影同步.最后,以陈氏系统为例,进行数值仿真,验证了所提方案能够有效地抑制混沌同步系统的信道干扰,得到混沌系统的全状态射影同步.

Chaos full-state projective synchronization with transmission disturbance

A novel chaos full-state projective synchronization scheme is put forward for the issue of chaos synchronization with disturbance in the transmission channel.Using Lyapunove stability theory,a sufficient condition for projecctive synchronization is developed via designing nonlinear observer of chaotic systems.The scheme can not only be able to achieve full-state synchronization with a special scaling factor,but also adjust the scaling factor arbitrarily according to the control condition without degrading the controllability.Furthermore,based on robust stability theory,it is shown that under the proposed scheme,the effect of the transmission disturbance can be greatly reduced,and thus a satisfied chaos projective synchronization can be achieved.Finally,Chen's system is taken as an example to carry out numerical simulation.The results of simulation show that the proposed scheme can suppress validity the disturbances in chaos synchronization system and achieve the full-state projective synchronization of chaotic systems.