SYNCHRONIZATION OF GENERALIZED LORENZ SYSTEM USING ADAPTIVE CONTROLLER

This paper proposes a synchronization scheme for a class of continuous-time chaotic systems. We show that two systems belonging to the class of generalized Lorenz systems can be synchronized using an adaptive feedback controller. This controller is added to the response system to force a subset of its state variables to oscillate synchronously with their counterpart of the drive system. We show that the controller gain vector is tuned without any knowledge of the system model. To illustrate the efficiency of the proposed scheme, we present numerical simulations to synchronize two-by-two a Lorenz-like system, Chen system and Lü system.