Synchronization for a class of chaotic systems with external disturbance

Abstract

Considering the effect of unknown uncertainties on the chaotic system, a new Synchronization control is presented for a class of uncertain chaotic systems using variable structure control. It is theoretically proved that this approach can make the perturbed chaotic system track any desired reference signal; in addition, it can seen that this method can apply to almost all uncertain chaotic systems and it is simpler and easier to implement in practical application. In the end, we take the perturbed Lorenz system as an example to illustrate that the proposed scheme is effective.