Time-varying feedback stabilization of the attitude of a rigid spacecraft
Résumé
It is known that rigid body models with two controls cannot be locally asymptotically stabilized by smooth feedbacks which are functions of the state only. This impossibility does no longer hold when the feedback is also a function of time, or when it is non smooth. A locally stabilizing smooth time-varying feedback is here explicitly derived by using Center Manifold Theory combined with averaging and Lyapunov techniques.