On the control of programmed motion of satellite-gyrostat containing fluid

Abstract

This article is devoted to study the control of the relative programmed motion of satellite-gyrostat containing fluid with the help of internal moving bodies. Using the Lyapunov function the asymptotic stability of the relative programmed motion is proved. The control moments corresponding to the programmed motion are obtained. The control moments ensuring the asymptotic stability of this motion are obtained. The existence of the fluid is shown to give more freedom to the control. This study is characterized by the fact that the control forces are exactly as non-linear functions of phase coordinates.