Summary

2011 International Symposium on Nonlinear Theory and Its Applications

2011

Session Number:B3L-A

Session:

Number:B3L-A3

Synchronization of a New Hyperchaotic System Using Linear Controllers

Liang Shan,  Yaobin Mao,  Jun Li,  Zhong Liu,  

pp.447-451

Publication Date:2011/9/4

Online ISSN:2188-5079

DOI:10.34385/proc.45.B3L-A3

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Summary:
In this paper three linear controllers are designed for completely synchronizing a new hyperchaotic system. The first one is a linear feedback controller, which uses only one term to synchronize the hyperchaotic system. Then by using Backstepping scheme and Lyapunov stability theory, the second controller is designed, which makes the hyperchaotic system quickly synchronized. The third controller is proposed using direct design method, which needs no deducing the Lyapunov functions in design process. Finally simulation results are presented to demonstrate the effectiveness of the three proposed controllers. The new hyperchaotic system has only one nonlinear term and the proposed controllers are all linear, so they especially fit for secure communication. All the linear controllers proposed in this paper are easy to be realized in actual project applications.