Active sliding observer scheme based fractional chaos synchronization

In this paper, a novel observer scheme is proposed for synchronization of fractional order chaotic systems. Our approach employs a combination of a classical sliding observer and an active observer, where the active observer serves to increase the attraction strength of sliding surface. Using the theory of Lyapunov function, synchronization of the fractional order response with the fractional order drive system is achieved in both ideal and mismatched cases. By merit of fractional order differentiation and integration, i.e. differintegration formula, it is proved that state synchronization is established in a finite time. Numerical simulations are presented to verify the effectiveness of the proposed observer.