Analysis of Perturbed Synchronization of Piecewise Rössler Using Sliding Modes Control

In this paper, an analysis for chaos synchronization under nonvanishing perturbations is presented. In particular, we use sliding modes control to synchronize perturbed chaotic systems. We will use two Piecewise Rössler systems unidirectionally coupled, the first like a master and the other like a perturbed slave. The proposed controller is able to synchronize disturbed chaotic systems, even with elimination of chattering problem. Some simulations are presented.