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不确定分数阶Chen系统同步与参数辨识
引用本文:李安平,沈细群.不确定分数阶Chen系统同步与参数辨识[J].湖南工程学院学报(自然科学版),2013(4):41-44.
作者姓名:李安平  沈细群
作者单位:[1]湖南工程学院理学院,湘潭411104 [2]湖南工程学院电气信息学院,湘潭411101
摘    要:讨论了不确定分数阶Chen系统的同步和参数识别问题,基于Lyapunove稳定性理论和自适应控制理论,提出一种用整数阶Chen系统来进行同步和参数辨识的方法,给出自适应控制器和参数更新率设计方法.数值仿真实现了分数阶Chen系统用整数阶Chen系统同步及参数辨识,结果表明提出方法的有效性.

关 键 词:分数阶混沌系统  数阶混沌系统  同步  参数辨识

Synchronization Uncertain Fractional-order Chaotic Chen System and Parameters Identification
LI An-ping,SHEN Xi-qun.Synchronization Uncertain Fractional-order Chaotic Chen System and Parameters Identification[J].Journal of Hunan Institute of Engineering(Natural Science Edition),2013(4):41-44.
Authors:LI An-ping  SHEN Xi-qun
Institution:LI An-ping SHEN Xi-qun
Abstract:The synchronization and parameter identification problem of the uncertain fractional-order Chen chaotic system is investigated. Based on the Lyapunov's stability theory and adaptive control theory, a method for synchronization of uncertain fractional-order chaotic system using integrate-order Chen system is proposed; a novel adaptive controller and parameter updating rule are designed. Synchronization frac- tional-order chaotic Chen system using integral-order chaotic Chen system is realized, by which the uncer- tain parameters of Chen system are identified. Simulation results also verify the effectiveness of the pro- posed algorithm.
Keywords:fractional-order chaotic system  integer-order chaotic system~ synchronization  parameters i- dentification
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