Synchronization of Two Identical Circular Restricted Three Body Problem using a Robust Adaptive Sliding Mode Controller with Application to Secure Communications

Volume 6 Issue 4 October - December 2017

Research Paper

Synchronization of Two Identical Circular Restricted Three Body Problem using a Robust Adaptive Sliding Mode Controller with Application to Secure Communications

Mohammad Shahzad*, 0**, Ahmed Mohiuddin Mohammed***

* Assistant Professor, Department of General Requirements, College of Applied Sciences, Nizwa, Oman.

** Research Scholar, Singhania University, Jhunjhunu, Rajasthan, India.

*** Department of Mathematics & Statistics, Sultan Qaboos University.

Shahzad, M., Raziuddin, M., Mohammed, A.M. (2017). Synchronization of Two Identical Circular Restricted Three Body Problem using a Robust Adaptive Sliding Mode Controller with Application to Secure Communications. i-manager’s Journal on Mathematics, 6(4), 19-28. https://doi.org/10.26634/jmat.6.4.13862

Abstract

In this paper, the authors have synchronized the two identical systems of Circular Restricted Three Body Problem evolving from different initial conditions using a Robust Adaptive Sliding Mode Controller. The two chaotic identical systems have been synchronized under the effects of uncertainties and external disturbances with unknown parameters. A simple suitable sliding surface, which includes synchronization errors, is constructed and appropriate update laws are implemented to tackle the uncertainties, external disturbances, and unknown parameters. For the synchronization of the two identical systems under consideration, all simulations are being done using Mathematica. Furthermore, the secure communication scheme has also been demonstrated.