Application of extended Kalman filter to chaos synchronization

Abstract

In this paper, synchronization problem of the Master-Slave chaotic system is presented. To this end, firstly, using discrete time extended Kalman filter, both states of the master and slave systems are estimated, next with a simple control law, slave system states is synchronized with master system states. To show the effectiveness of our approach, these results are applied to some well-known chaotic problems. Numerical simulations are used to show the efficiency of this approach.