Chaos Synchronization of Fractional-Order Chaotic Lorenz- Stenflo System via Fractional Sliding Mode Control

In this paper, a fractional control strategy, PD sliding mode control, is proposed to realize the synchronization of two chaotic Lorenz-Stenflo (LS) systems in master-slave configuration. Accordingto the Lyapunov stability theory, the stability of the closed-loop error system is guaranteed. The control scheme is also robust to the system uncertainties and external disturbances. Chaos synchronization is obtained by proper choice of the control parameters. According our knowledge, thisis the first research to apply fractional sliding mode controller for synchronization of LS system. The simulation results demonstrate the effectiveness of proposed control method

کلیدواژه ها:

Chaotic System ، Synchronization ، Fractional Sliding Mode Control ، Lorenz-Stenflo