An adaptive feedback control for chaos synchronization of nonlinear systems with different order |
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Affiliation: | 1. Key Laboratory of Intelligent Computing and Signal Processing, Anhui University, Hefei 230039, China;2. School of Electronics and Information Engineering, Anhui University, Hefei 230039, China |
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Abstract: | This paper deals with the chaotic synchronization of fourth-order system and second driven oscillators. Such a problem is related to the synchronization of strictly different chaotic systems. We show that the dynamical evolution of second-order driven oscillators can be synchronized with the projection on canonical planes of a fourth-order chaotic system. In this sense, it is said that the synchronization is achieved in reduced-order. Based on the Lyapunov approach, the adaptation law is determined to tune the controller gain vector in order to track a predetermined linearizing feedback control. An application to secure chaotic communication is also discussed. Numerical simulations are presented to demonstrate the efficiency of the proposed synchronization and secure communication schemes. |
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