Adaptive Integrator Backstepping Control for Magnetically Actuated Satellite

An adaptive integrator backstepping control law for magnetically actuated earth-pointing satellite is proposed. The equation for required magnetic control torque along the three body axes is shown with the proposed control law. The stability of the system about the origin is proved and it is uniformly asymptotically stable. A time variant uncertainty in the dynamics of spacecraft is considered. The detailed implementation of the control law is developed and presented. In order to show the efficacy of the proposed control law, the simulation is given for the tracking problem of the satellite under time variant uncertain disturbance.