The optimal control of an angular motion of a gyrostat containing fluid

A control scheme is proposed to guarantee optimal stabilization of the angu lar motion of a gyrostat containing fluid. The gyrostat is controlled by th e control action which can be generated by rotating internal rotors. The op timal control law ensuring asymptotic stability of the angular motion is ob tained as non-linear functions of the phase coordinates. The damping step o f the optimal stabilization of the angular motion of a gyrostat is obtained . The existence of the fluid is shown to give more freedom to the control. The present method is shown to be more general than the previous ones. (C) 2000 Elsevier Science Ltd. All rights reserved.