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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...
This paper investigates the fractional-order sliding mode control design to synchronize two different chaotic permanent magnet synchronous motors (PMSM). In fact, by designing a fractional-order sliding mode surface, it is proved that the corresponding synchronization error is Mittag-Leffler (or asymptotic) stable. The simulation results demonstrate that the proposed controller is robust against the...
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