Chaos synchronization of optical systems via a fractional-order sliding mode controller

In this paper, we investigate the chaos synchronization of uncertain optical chaotic systems. More precisely, we also present a systematic approach for designing a fractional-order sliding mode controller to achieve a rapid, robust and perfect chaos synchronization. By this robust controller, it is rigorously proven that the associated synchronization error is Mittag-Leffler stable. In a numerical simulation frame-work, this synchronization scheme is tested on a chaotic optical system. The obtained results clearly show that the proposed chaos synchronization controller is not only strongly robust with respect to system uncertainties and dynamical external disturbances, but also can significantly reduce the chattering effect.