Chaos Synchronization Of An Ellipsoidal Satellite Via Active Control

Abstract

In this paper, we have investigated the synchronization behaviour of two identical nonlinear dynamical systems of a rotating ellipsoidal satellite in elliptic orbit under the solar radiation pressure evolving from dierent initial conditions using the active control technique based on the Lyapunov stability theory and the Routh-Hurwitz criteria. The designed controller, with our own choice of the coecient matrix of the error dynamics, are found to be eective in the stabilization of the error states at the origin, thereby, achieving synchronization between the states variables of two dynamical systems under consideration. Numerical simulations are presented to illustrate the eectiveness of the proposed control techniques using mathematica.

Key words: Chaos; Synchronization; Satellite