采用鲁棒滑模观测器实现一类混沌系统的同步

Synchronization for a class of chaotic systems using a robust sliding mode observer

提出一种鲁棒滑模观测器,并应用于一类混沌系统的同步.该鲁棒滑模观测器通过滑模与相应的控制策略来实现,可调整观测器跟踪系统状态的收敛速度,实现两个混沌系统的同步.将所提出的鲁棒滑模状态观测器用于一类存在参数摄动和/或干扰的混沌系统的同步具有鲁棒性,该鲁棒滑模状态观测器不仅能实现低维的混沌系统的同步,而且能实现超混沌系统的同步.以Chua′s电路和超混沌Ro¨ssler系统为例给出了设计过程和仿真实验,其结果验证了所提出方法的有效性.

A robust sliding mode observer is proposed and applied to realize the synchronization for a class of chaotic systems. The robust sliding mode observer is designed by using a sliding mode and a control strategy. The convergence rate of the observer can be regulated. The synchronization for two chaotic systems can be realized by using the sliding mode observer, which is robust to the internal parameter uncertainties and the external disturbances. The sliding mode observer can realize synchronization not only for the low dimensional chaotic systems but also for the high dimensional hyperchaotic systems. The simulations of Chua's circuit and hyperchaotic Rossler system show the effectiveness of the design.