An adaptive sliding mode variable structure control method for projective synchronization of chaotic systems with perturbations

A method based on adaptive sliding mode variable structure controller is presented for projective synchronization of a class of chaotic system with perturbations. We design a control law and a adaptation mechanism. With this controller controlled, the drive system and response system achieves projective synchronization and control even if exist perturbations and parameter mismatch. The controller is simple and easy to implement. Moreover, no restrictive assumption is imposed on the system. Thus,the range of applicability the proposed method becomes broad. Theoretical analysis and simulation results illustrate the validity.