Simple Observer Based Synchronization of Lorenz System with Parametric Uncertainty

Abstract

In this paper, observer based synchronization of chaotic Lorenz system is presented.The virtual system concept is used for synchronization of observer states to actual system states.First, synchronization is presented without any uncertainty in system parameters and further synchronization is achieved for the case with uncertainty in system parameters.Adaptation law for uncertain parameters are developed as a consequence of stability analysis.Convergences of uncertain parameters are also analyzed.Simulation results are presented in the end to verify the synchronization of observer states to actual system states.