Complete synchronization of commensurate fractional order chaotic systems using sliding mode control
Complete synchronization of commensurate fractional order chaotic systems using sliding mode control
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DOI：
10.1016/j.mechatronics.2013.02.004
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发表时间：
2013-10-01
期刊：
影响因子：
3.3
通讯作者：
Baleanu, Dumitru
中科院分区：
文献类型：
--
作者：
Razminia, Abolhassan;Baleanu, Dumitru
在这篇手稿中，我们考虑了一个新的分数阶混沌系统，表现出有趣的行为，如两个，三个，四个卷轴。这样的系统可以广泛地发现在机电一体化和电力电子系统，表现出自持振荡。两个这样的系统之间的同步是一个有趣的问题，无论是在理论上还是在实践中。使用滑模控制方法，我们同步的单向耦合结构的两个混沌系统。数值仿真验证了理论分析的正确性。此外，我们报告的鲁棒性的系统中存在的噪声模拟。(C)2013爱思唯尔有限公司保留所有权利。
In this manuscript, we consider a new fractional order chaotic system which exhibits interesting behavior such as two, three, and four scrolls. Such systems can be found extensively in mechatronics and power electronic systems which exhibit self-sustained oscillations. Synchronization between two such systems is an interesting problem either theoretically or practically. Using a sliding mode control methodology, we synchronize a unidirectional coupling structure for the two chaotic systems. Numerical simulations are used to verify the theoretical analysis. Additionally, we report the robustness of the system in the presence of a noise in simulation. (C) 2013 Elsevier Ltd. All rights reserved.