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Synchronization of Circular Restricted Three Body Problem with Liu Hyper Chaotic System using a Robust Adaptive Sliding Mode Controller

Ayub Khan*, 0**

* Professor, Department of Mathematics, Jamia Millia Islamia, New Delhi, India.

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

Periodicity:April - June'2014
DOI : https://doi.org/10.26634/jmat.3.2.3002

Abstract

In this computational study, the authors synchronize the Circular Restricted Three Body Problem (CRTBP) with Liu Hyper Chaotic System (LHCS) 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 non-identical systems under consideration are being done using Mathematica.

Keywords

CRTBP, LHCS, RASMC, Synchronization.

How to Cite this Article?

Khan, A., and Shahzad, M. (2014). Synchronization of Circular Restricted Three Body Problem with Liu Hyper Chaotic System using a Robust Adaptive Sliding Mode Controller. i-manager’s Journal on Mathematics, 3(2), 22-29. https://doi.org/10.26634/jmat.3.2.3002

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