Anti-synchronization of Systems with Unknown Parameters and Parameters Identification

Abstract

Anti-synchronization of two identical chaotic systems with unknown parameters and unknown parameters identification are discussed. A chaotic system with unknown parameters is considered as master system, and a slave system containing the estimated values of unknown parameters of the master system is constructed. We design some controllers consisting of adaptive controller and the update law of estimation parameters to make the master-slave systems achieve anti-synchronization. Then the negatives of the estimated values can converge to the exact values of unknown parameters of the master system. Therefore, the unknown parameters of the master system can be identified. A new chaotic system is taken as example to show that the presented method can give a result of high accuracy.