In this paper, a sliding mode controller is designed to synchronize a chaotic fractional-order system. To construct a corrective control input, a saturation function sat(.), with a modified sliding surface is proposed. Finally, Chaos in the Duffing-Holmes system with fractional orders is investigated, and a numerical simulation (synchronizing fractional-order Duffing-Holmes _ Duffing-Holmes system) are presented to show the effectiveness of the proposed controller.

翻译：在本文中, 滑动模式控制器的设计是为了同步一个混乱的分序系统。 要构建一个校正控制输入, 提议一个饱和功能, 并使用一个修改的滑动表面 。 最后, 对带有分序的 Duffing- Holmes 系统中的混乱进行调查, 并展示一个数字模拟( 同步的分序 Duffing- Holmes _ Duffing- Holmes 系统), 以显示拟议控制器的有效性 。