Synchronization of nonlinear dynamical systems using extended Kalman filter and its application in some well-known chaotic systems

Abstract

In this paper, master-slave synchronization problem is investigated in nonlinear systems. For achieving this end, firstly, both states of the master and slave systems are estimated by using a discrete-time extended Kalman filter. Next with a simple control law, the states of the slave system would be synchronized with the master system states. In order to show the effectiveness of the proposed approach, these results are applied to some well-known chaotic problems. The numerical simulations would be shown efficiency of the proposed approach.