Synchronization of different chaotic systems via active radial basis functions sliding mode controller |
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Authors: | Guo Hui-Jun Yin You-Wei and Wang Hua-Min |
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Institution: | Department of Automation and Information Engineering, Xi'an
University of Technology, Xi'an 710048, China |
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Abstract: | This paper presents a new method to synchronize different chaotic
systems with disturbances via an active radial basis function (RBF)
sliding controller. This method incorporates the advantages of active
control, neural network and sliding mode control. The main part of
the controller is given based on the output of the RBF neural
networks and the weights of these single layer networks are tuned
on-line based on the sliding mode reaching law. Only several radial
basis functions are required for this controller which takes the
sliding mode variable as the only input. The proposed controller can
make the synchronization error converge to zero quickly and can
overcome external disturbances. Analysis of the stability for the
controller is carried out based on the Lyapunov stability theorem.
Finally, five examples are given to illustrate the robustness and
effectiveness of the proposed synchronization control strategy. |
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Keywords: | chaos synchronization active control sliding mode control RBF networks |
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