Projective lag synchronization of spatiotemporal chaos via active sliding mode control

Abstract

This paper investigates projective lag synchronization of spatiotemporal chaos with disturbances. A control scheme is designed via active sliding mode control. The synchronization of spatiotemporal chaos between a drive system and a response system with disturbances and time-delay is implemented by adding the active sliding mode controllers. The control law is applied to two identical spatiotemporal Gray–Scott systems. Numerical results demonstrate the feasibility and the effectiveness of the proposed approach.