Parameter identification and partial synchronization of different chaotic systems

Abstract

This paper proposes an approach of part synchronization to identify the unknown parameters of the different structures of uncertain chaotic system. Based on Asymptotic stability theory, we design an observer to identify the unknown parameters in the uncertain chaotic system. At the same time, in order to achieve the different structure of uncertain Lorenz chaotic system and Coullet synchronization, we construct the synchronous controller and determine its gain range by using the backstepping approach. The simulation results demonstrate the effectiveness of the observer and controller. In comparison with the existing literature, we optimize the observer and the controller which can achieve the part synchronization of the different structures of uncertain chaotic systems.