Intelligent fractional-order control-based projective synchronization for chaotic optical systems

This paper investigates the problem of chaos synchronization based on fractional-order intelligent sliding-mode control approach for a class of fractional-order chaotic optical systems with unknown dynamics and disturbances. Two simple but effective fractional dynamic sliding surfaces with some desired stability features are adequately used to derive two fuzzy sliding-mode controllers. Fuzzy systems are used to online estimate the nonlinear functions. The stability analysis of the closed-loop system is rigorously performed by means of a fractional Lyapunov theory. Finally, some illustrative simulation examples are given to demonstrate the applicability and effectiveness of the proposed controllers. The obtained simulation results clearly confirm that the proposed chaos synchronization controllers are not only strongly robust with respect to the system’s uncertainties and external disturbances, but also one of these controllers can significantly reduce the chattering effect.