A sliding mode observer approach to chaos synchronization

Abstract

In this paper, synchronization of the chaotic systems based on sliding mode observer is presented. This observer has a simple structure that contains a sliding mode term which turns out to be robust against output noises as well as sustained disturbance. Only one of the states of the master that satisfies the observability matching condition is sent to the slave system via a public channel, which is a sliding mode observer designed to reconstruct all of the states of the master system. For verification and demonstration, this approach is applied to the unified chaotic systems. Simulation results are proposed to demonstrate the effectiveness of this method.