Uncertainty and disturbance estimator based robust synchronization for a class of uncertain fractional chaotic system via fractional order sliding mode control
Uncertainty and disturbance estimator based robust synchronization for a class of uncertain fractional chaotic system via fractional order sliding mode control
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DOI：
10.1016/j.chaos.2018.07.028
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发表时间：
2018-10-01
影响因子：
7.8
通讯作者：
Narayan, Shiv
中科院分区：
文献类型：
--
作者：
Deepika, Deepika;Kaur, Sandeep;Narayan, Shiv
利用一种新的分数阶滑模控制技术，研究了一类不确定分数阶混沌/超混沌系统的有限时间鲁棒同步问题。首先，提出了一个分数阶滑动面来模拟主混沌系统的行为。在此基础上，提出了一种分数阶滑模控制(FOSMC)方法，使同步误差在有限时间内收敛到零。最后，基于不确定性和干扰估计器(UDE)的辅助控制对所得到的控制策略进行了扩充，以确保闭环系统在存在不确定性的情况下的鲁棒性。此外，为了刻画实际场景，处理了具有未知界的不确定性，这些结果同样适用于N维不确定混沌系统和超混沌系统。此外，利用Mittag-Leffler和分数阶Lyapunov结果证明了该方法的稳定性和有限时间收敛。此外，所提出的方法提供了无抖振控制信号，这是滑模控制的一个主要问题。以文献中的两个实例为例进行了仿真，验证了所得结果的有效性和稳健性。(C)2018爱思唯尔有限公司。保留所有权利。
This paper deals with a finite time robust synchronization problem of a class of uncertain fractional chaotic/hyper-chaotic systems with a novel fractional sliding mode control technique. Firstly, a fractional order sliding surface is proposed to mimic the behavior of master chaotic system. Then, a fractional order sliding mode control (FOSMC) methodology is derived analytically for convergence of all the synchronizing errors to zero in finite time. Finally, the derived control strategy is augmented with an auxiliary control based on uncertainty and disturbance estimator (UDE) for ensuring the robustness of the closed loop system dynamics in the presence of system uncertainties. Further, the uncertainties with unknown bounds are tackled for depicting the practical scenario and these results are also applicable to the N-dimensional uncertain chaotic as well as hyper-chaotic systems. Moreover, Mittag-Leffler and fractional order Lyapunov results are utilized to prove the stability and finite time convergence. Also, the proposed method delivers chatter-free control signal which is a major issue in sliding mode. MATLAB simulations are carried out to verify the efficacy and robustness of the derived results by considering two examples from literature. (C) 2018 Elsevier Ltd. All rights reserved.