Synchronization of hyperchaotic systems using nonlinear controllers

This paper deals with the design of nonlinear controllers for the synchronization of two hyperchaotic systems. The feedback linearization control (FLC) technique as well as the sliding mode control (SMC) technique are used to synchronize two identical hyperchaotic Lii systems. We prove that the errors between the states of the master system and the states of the slave system converge to zero asymptotically. Simulations results are presented to validate the developed theory; these results indicate that the proposed control schemes work very well. In addition, the proposed synchronization schemes are applied to the secure communication field; the simulation results indicate that the proposed schemes are effective.