Synchronization between hyperchaotic systems using PI Based Sliding Mode Control

Abstract

In this paper, design of SMC scheme based controller is proposed for synchronization of two different hyperchaotic systems. Synchronization is achieved using the Lyapunov stability theory. A proportional integral (PI) switching surface is used to ensure the stability of the closed-loop error dynamics in sliding motion. This SMC scheme is effective and guarantees the occurrence of sliding motion and achieves synchronization of master hyperchaotic Xu and slave hyperchaotic Lorenz system. Combinations of two different hyperchaotic systems are used for the synchronization reflecting the novelty of paper. Finally, numerical simulations are performed to demonstrate the effectiveness of the proposed control strategy.

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Cite this paper

@article{Singh2014SynchronizationBH, title={Synchronization between hyperchaotic systems using PI Based Sliding Mode Control}, author={Jay Prakash Singh and Piyush P. Singh and Binoy Krishna Roy}, journal={2014 International Conference on Communication and Signal Processing}, year={2014}, pages={424-428} }