Parameter identification and adaptive synchronization of uncertain Chen system

Abstract

This paper addresses the adaptive synchronization and parameter identification problem of two Chen systems with unknown system parameters. Based on the Lyapunov stability theory, an adaptive controller and the parameter update rule are designed. It is proved that the controller and update rule can make the states of the drive system and the response system with unknown parameters asymptotically synchronized, and identify the system parameters. Numerical simulations show the effectiveness of the adaptive controller.