• SYNCHRONIZATION & ANTI-SYNCHRONIZATION OF A SATELLITE’S MOTION UNDER AIR DRAG VIA ACTIVE CONTROL
Abstract
In this paper, we have investigated the synchronization and anti-synchronization behaviour of two identical planar oscillation of a satellite in circular orbit under air drag evolving from different initial conditions using the active control technique based on the Lyapunov stability theory and the Routh-Hurwitz criteria. The designed controllers, with our own choice of the coefficient matrix of the error dynamics are found to be effective to achieve synchronization and anti-synchronization between the states variables of two nonlinear dynamical systems under consideration. The results are validated by numerical simulations using mathematica.
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