Anti-synchronization of Lorenz-Stenflo chaotic system using SMC

In this paper, design of sliding mode control (SMC) based controller is proposed for anti-synchronization of Lorenz-Stenflo chaotic system. Anti-synchronization is achieved by using the SMC scheme and Lyapunov stability theory. A proportional-integral switching surface for sliding mode controller is proposed to ensure the stability of the closed-loop error dynamics in sliding motion. Proposed controller is effective and guarantees the occurrence of sliding motion and achieves the anti-synchronization of master and slave chaotic Lorenz-Stenflo systems. Simulation is performed to demonstrate the effectiveness of proposed control strategy. Simulation result reveals that proposed scheme is working satisfactorily.