Optimal stabilization of a rigid body motion using rotors system

摘要

In this paper, the problem of optimal stabilization of an angular motion of a rigid body, with the help of internal rotors, is investigated using the Lyapunov–Bellman technique. The conditions of optimal stabilization of this motion are adopted to obtain the control law as functions of the phase coordinates of the system and time. We are not concerned with the attitude of the body and consider only the evolution of the angular velocity as described by Euler’s equations. Moreover, some of the results are compared with those obtained in other literatures.