Synchronization between integer-order chaotic systems and a class of fractional-order chaotic system based on fuzzy sliding mode control |
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| Authors: | Diyi Chen Runfan Zhang Julien Clinton?Sprott Xiaoyi Ma |
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| Institution: | 1. Department of Electrical Engineering, Northwest A&F University, Yangling, Shaanxi, 712100, P.R. China
2. Department of Physics, University of Wisconsin, Madison, WI, 53706, USA
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| Abstract: | In this paper, we focus on the synchronization between integer-order chaotic systems and a class of fractional-order chaotic system using the stability theory of fractional-order systems. A new fuzzy sliding mode method is proposed to accomplish this end for different initial conditions and number of dimensions. Furthermore, three examples are presented to illustrate the effectiveness of the proposed scheme, which are the synchronization between a fractional-order Lü chaotic system and an integer-order Liu chaotic system, the synchronization between a fractional-order hyperchaotic system based on Chen??s system and an integer-order hyperchaotic system based upon the Lorenz system, and the synchronization between a fractional-order hyperchaotic system based on Chen??s system, and an integer-order Liu chaotic system. Finally, numerical results are presented and are in agreement with theoretical analysis. |
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