Synchronization of uncertain fractional-order chaotic system using fractional-order system with different order and parameters identification

Computer Engineering and Applications ›› 2013, Vol. 49 ›› Issue (4): 245-248.

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Synchronization of uncertain fractional-order chaotic system using fractional-order system with different order and parameters identification

LI Anping1，2, LIU Guorong2, SHEN Xiqun3

1.College of Electrical and Information Engineering, Hunan University, Changsha 410082, China
2.College of Science, Hunan Institute of Engineering, Xiangtan, Hunan 411104, China
3.College of Electrical and Information Engineering, Hunan Institute of Engineering, Xiangtan, Hunan 411104, China

Online:2013-02-15 Published:2013-02-18

不同阶分数阶混沌系统的同步与参数辨识

李安平1，2，刘国荣3，沈细群3

1.湖南大学电气与信息工程学院，长沙 410082
2.湖南工程学院理学院，湖南湘潭 411104
3.湖南工程学院电气与信息工程学院，湖南湘潭 411104

Abstract

Abstract: This paper discusses synchronization of fractional-order chaotic system with uncertain parameters. A new method for synchronization of fractional-order chaotic system and parameters identification using an fractional-order chaotic system with different order is proposed. Using pre-control and active control method, and based on the fractional-order’s stability theory and adaptive control theory, and a method for Synchronization of uncertain fractional-order chaotic system and parameters identification is proposed, and synchronization fractional-order Chen system using fractional-order Chen system with different order is realized, by which the uncertain parameters of Chen system are identified. Numerical simulations show the effectiveness of the developed approach.

Key words: uncertain fractional-order chaotic system, synchronization, parameters identification

摘要： 针对不确定分数阶混沌系统的同步和参数辨识问题，提出一种新的方法，即用不同阶分数阶系统来同步和参数辨识。利用主动控制和预控制量方法，基于分数阶混沌系统稳定性理论和自适应控制理论，设计控制器，实现不同阶分数阶混沌系统之间的同步和参数辨识。理论和仿真结果实现了不同阶Chen 系统间的同步和辨识，表明了该方法的有效性。

关键词: 不确定分数阶混沌系统, 同步, 参数辨识

LI Anping1，2, LIU Guorong2, SHEN Xiqun3. Synchronization of uncertain fractional-order chaotic system using fractional-order system with different order and parameters identification[J]. Computer Engineering and Applications, 2013, 49(4): 245-248.

李安平1，2，刘国荣3，沈细群3. 不同阶分数阶混沌系统的同步与参数辨识[J]. 计算机工程与应用, 2013, 49(4): 245-248.

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Synchronization of uncertain fractional-order chaotic system using fractional-order system with different order and parameters identification

不同阶分数阶混沌系统的同步与参数辨识

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