A New Scheme on Synchronization of Commensurate Fractional-Order Chaotic Systems Based on Lyapunov Equation

IF 1 Q4 AUTOMATION & CONTROL SYSTEMS
Hua Wang, Hang-Feng Liang, P. Zan, Zhonghua Miao
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引用次数: 0

Abstract

This paper proposes a new fractional-order approach for synchronization of a class of fractional-order chaotic systems in the presence of model uncertainties and external disturbances. A simple but practical method to synchronize many familiar fractional-order chaotic systems has been put forward. A new theorem is proposed for a class of cascade fractional-order systems and it is applied in chaos synchronization. Combined with the fact that the states of the fractional chaotic systems are bounded, many coupled items can be taken as zero items. Then, the whole system can be simplified greatly and a simpler controller can be derived. Finally, the validity of the presented scheme is illustrated by numerical simulations of the fractional-order unified system.
基于Lyapunov方程的相称分数阶混沌系统同步新方案
针对一类存在模型不确定性和外部干扰的分数阶混沌系统,提出了一种新的分数阶同步方法。提出了一种简单实用的方法来同步许多常见的分数阶混沌系统。针对一类级联分数阶系统,提出了一个新的定理,并将其应用于混沌同步。结合分数阶混沌系统状态有界的事实,许多耦合项可以取为零项。这样可以大大简化整个系统,并推导出更简单的控制器。最后,通过分数阶统一系统的数值仿真验证了所提方案的有效性。
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来源期刊
Journal of Control Science and Engineering
Journal of Control Science and Engineering AUTOMATION & CONTROL SYSTEMS-
CiteScore
4.70
自引率
0.00%
发文量
54
审稿时长
19 weeks
期刊介绍: Journal of Control Science and Engineering is a peer-reviewed, open access journal that publishes original research articles as well as review articles in all areas of control science and engineering.
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