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

机译:通过分数阶滑模控制器对光学系统进行混沌同步

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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 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.
机译:在本文中,我们研究了不确定光学混沌系统的混沌同步。更准确地说,我们还提出了一种系统的方法,用于设计分数阶滑模控制器以实现快速,鲁棒和完美的混沌同步。通过这种功能强大的控制器,已严格证明了相关的同步误差是Mittag-Leffler稳定的。在数值模拟框架中,此同步方案在混沌光学系统上进行了测试。所获得的结果清楚地表明,所提出的混沌同步控制器不仅在系统不确定性和动态外部干扰方面具有很强的鲁棒性,而且还可以显着降低抖动的影响。

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