GENERALIZED ROBUST ACTIVE SLIDING MODE SYNCHRONIZATION OF IDENTICAL CHAOTIC SYSTEMS UNDER PERIODIC EXTERNAL DISTURBANCES
Department of Mathematics, Jamia Millia Islamia University, New Delhi, India.
RIMPI PAL *
Department of Mathematics, University of Delhi, New Delhi, India.
*Author to whom correspondence should be addressed.
In this manuscript, we have generalized the robust active sliding mode control technique to obtain complete synchronization, anti-synchronization, projective synchronization and hybrid projective synchronization between two identical chaotic systems under periodic external disturbances. Further, we show that on the switching surface, the controllers are also successful in achieving exponential synchronization. As an example, the method is applied to a dumbell satellite model and numerical simulations are performed on it to justify the theoretical analysis.
Keywords: Complete synchronization, anti-synchronization, projective synchronization, hybrid projective synchronization, exponential synchronization, Sliding Mode Control