Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller
Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller
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DOI：
10.1016/j.cnsns.2011.10.028
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发表时间：
2012-06-01
影响因子：
3.9
通讯作者：
Aghababa, Mohammad Pourmahmood
中科院分区：
文献类型：
--
作者：
Aghababa, Mohammad Pourmahmood
针对一类分数阶混沌系统，提出了一种新的分数阶滑模镇定与同步方法。基于分数阶微积分，提出了一种稳定的积分型分数阶滑模面。利用分数阶李雅普诺夫稳定性定理，提出了一种单滑模控制律，保证了系统在有限时间内存在滑动运动。将所提出的控制方案应用于一类存在模型不确定性和外部干扰的分数阶混沌系统的镇定/同步。数值模拟验证了本文的理论结果。值得注意的是，所提出的分数阶滑模控制器可以应用于控制范围广泛的分数阶动态系统。(C)2011爱思唯尔有限公司版权所有。
This paper proposes a novel fractional-order sliding mode approach for stabilization and synchronization of a class of fractional-order chaotic systems. Based on the fractional calculus a stable integral type fractional-order sliding surface is introduced. Using the fractional Lyapunov stability theorem, a single sliding mode control law is proposed to ensure the existence of the sliding motion in finite time. The proposed control scheme is applied to stabilize/synchronize a class of fractional-order chaotic systems in the presence of model uncertainties and external disturbances. Some numerical simulations are performed to confirm the theoretical results of the paper. It is worth noticing that the proposed fractional-order sliding mode controller can be applied to control a broad range of fractional-order dynamical systems. (C) 2011 Elsevier B.V. All rights reserved.