Adaptive Control-based synchronization of chaotic systems with uncertain parameters and its application

Abstract

This paper is concerned with performance on thewidely used control technique: adaptive control forsynchronization between two identical chaotic systemsembedded in the Master and Slave. It is assumed that theparameters of slave system are unknown. The required stabilitycondition is derived to ensure the stability of error dynamics.Adaptive control laws are designed using appropriateparameters estimation law. The system parameters areasymptotically synchronized; thus the slave parameters can beidentified. As an application, the proposed scheme is applied tosecure communication system. The information signal istransmitted and recovered on the basis of identificationparameters also the system is tested under the consideration ofthe noisy channel. Finally, through Numerical simulationresults, the proposed scheme was a success in the communicationapplication.