Synchronization between integer-order chaotic systems and a class of fractional-order chaotic systems via sliding mode control
- 29 May 2012
- journal article
- research article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 22 (2), 023130
- https://doi.org/10.1063/1.4721996
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 sliding mode method is proposed to accomplish this end for different initial conditions and number of dimensions. More importantly, the vector controller is one-dimensional less than the system. Furthermore, three examples are presented to illustrate the effectiveness of the proposed scheme, which are the synchronization between a fractional-order Chen chaotic system and an integer-order T chaotic system, the synchronization between a fractional-order hyperchaotic system based on Chen’s system and an integer-order hyperchaotic system, and the synchronization between a fractional-order hyperchaotic system based on Chen’s system and an integer-order Lorenz chaotic system. Finally, numerical results are presented and are in agreement with theoretical analysis.Keywords
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