Generalized projective synchronization of the fractional-order chaotic system using adaptive fuzzy sliding mode control

doi:10.1088/1674-1056/23/10/100501

›› 2014, Vol. 23 ›› Issue (10): 100501-100501.doi: 10.1088/1674-1056/23/10/100501

Generalized projective synchronization of the fractional-order chaotic system using adaptive fuzzy sliding mode control

王立明^a, 唐永光^a, 柴永泉^a, 吴峰^b

a Department of Physics, Langfang Teachers College, Langfang 065000, China;
b Department of Physics, Tianjin University of Technology, Tianjin 300191, China

收稿日期:2013-10-18 修回日期:2014-04-27 出版日期:2014-10-15 发布日期:2014-10-15
基金资助:
Project supported by the Research Foundation of Education Bureau of Hebei Province, China (Grant No. QN2014096).

Generalized projective synchronization of the fractional-order chaotic system using adaptive fuzzy sliding mode control

Wang Li-Ming (王立明)^a, Tang Yong-Guang (唐永光)^a, Chai Yong-Quan (柴永泉)^a, Wu Feng (吴峰)^b

a Department of Physics, Langfang Teachers College, Langfang 065000, China;
b Department of Physics, Tianjin University of Technology, Tianjin 300191, China

Received:2013-10-18 Revised:2014-04-27 Online:2014-10-15 Published:2014-10-15
Contact: Wang Li-Ming E-mail:wlm_shooker@163.com
About author:05.45.Xt; 05.45.Gg
Supported by:
Project supported by the Research Foundation of Education Bureau of Hebei Province, China (Grant No. QN2014096).

摘要/Abstract

摘要： An adaptive fuzzy sliding mode strategy is developed for the generalized projective synchronization of a fractional-order chaotic system, where the slave system is not necessarily known in advance. Based on the designed adaptive update laws and the linear feedback method, the adaptive fuzzy sliding controllers are proposed via the fuzzy design, and the strength of the designed controllers can be adaptively adjusted according to the external disturbances. Based on the Lyapunov stability theorem, the stability and the robustness of the controlled system are proved theoretically. Numerical simulations further support the theoretical results of the paper and demonstrate the efficiency of the proposed method. Moreover, it is revealed that the proposed method allows us to manipulate arbitrarily the response dynamics of the slave system by adjusting the desired scaling factor λ_i and the desired translating factor η_i, which may be used in a channel-independent chaotic secure communication.

关键词: generalized projective chaos synchronization, fuzzy sliding mode control, fractional order chaotic system

Abstract: An adaptive fuzzy sliding mode strategy is developed for the generalized projective synchronization of a fractional-order chaotic system, where the slave system is not necessarily known in advance. Based on the designed adaptive update laws and the linear feedback method, the adaptive fuzzy sliding controllers are proposed via the fuzzy design, and the strength of the designed controllers can be adaptively adjusted according to the external disturbances. Based on the Lyapunov stability theorem, the stability and the robustness of the controlled system are proved theoretically. Numerical simulations further support the theoretical results of the paper and demonstrate the efficiency of the proposed method. Moreover, it is revealed that the proposed method allows us to manipulate arbitrarily the response dynamics of the slave system by adjusting the desired scaling factor λ_i and the desired translating factor η_i, which may be used in a channel-independent chaotic secure communication.

Key words: generalized projective chaos synchronization, fuzzy sliding mode control, fractional order chaotic system

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Gg (Control of chaos, applications of chaos)

王立明, 唐永光, 柴永泉, 吴峰. Generalized projective synchronization of the fractional-order chaotic system using adaptive fuzzy sliding mode control[J]. , 2014, 23(10): 100501-100501.

Wang Li-Ming (王立明), Tang Yong-Guang (唐永光), Chai Yong-Quan (柴永泉), Wu Feng (吴峰). Generalized projective synchronization of the fractional-order chaotic system using adaptive fuzzy sliding mode control[J]. Chin. Phys. B, 2014, 23(10): 100501-100501.

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Generalized projective synchronization of the fractional-order chaotic system using adaptive fuzzy sliding mode control

Generalized projective synchronization of the fractional-order chaotic system using adaptive fuzzy sliding mode control

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