Adaptive synchronization of GLHS with unknown parameters

In this paper, an adaptive controller for the synchronization of two generalized Lorenz hyperchaos systems (GLHSs) is designed by using the Lyapunov method. In the synchronization schema, the parameters of the drive system are unknown and different from those of the response system. By introducing u...

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Bibliographic Details
Published in:International journal of circuit theory and applications 2009-10, Vol.37 (8), p.920-927
Main Authors: Wang, Yan-Wu, Guo, Li-Lin, Xiao, Di, Xiao, Jiang-Wen
Format: Article
Language:English
Subjects:
adaptive control
chaos synchronization
generalized Lorenz hyperchaos system
Lyapunov method
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Summary:In this paper, an adaptive controller for the synchronization of two generalized Lorenz hyperchaos systems (GLHSs) is designed by using the Lyapunov method. In the synchronization schema, the parameters of the drive system are unknown and different from those of the response system. By introducing update laws for both the control coefficients and the parameters of the response system, the adaptive controller proposed in this paper is brand new compared with the former relative works. The proposed adaptive controller is feasible for any possible parameters of GLHS. Numerical simulation is carried out to verify and illustrate the analytical result. Copyright © 2008 John Wiley & Sons, Ltd.
ISSN:0098-9886
1097-007X
DOI:10.1002/cta.515