• SYNCHRONIZATION OF THREE DIMENSIONAL CANCER MODEL WITH ROSSLER SYSTEM USING A ROBUST ADAPTIVE SLIDING MODE CONTROLLER WITH APPLICATION TO SECURE COMMUNICATIONS

Abstract

This paper deals the computational study of synchronization of the Three Dimensional Cancer Model (TDCM) with Rossler System (RS) using a Robust Adaptive Sliding Mode Controller (RASMC) together with uncertainties, external disturbances and fully unknown parameters. A simple suitable sliding surface, which includes synchronization errors, is constructed and appropriate update laws are used to tackle the uncertainties, external disturbances and unknown parameters. All simulations to achieve the synchronization for the proposed technique for the two nonidentical chaotic systems under consideration are being done using Mathematica. Furthermore, application of synchronization to secure communication is also demonstrated on tumour cells.