Rigid body stabilization under time-varying perturbations with zero mean values

The problem of monoaxial attitude control of a rigid body subjected to nonstationary perturbations is investigated. The control torque consists of a dissipative component and a restoring one. The cases of linear and nonlinear restoring and perturbing torques are analyzed. Two theorems on asymptotic stability of the programmed orientation are proved. The results of a numerical simulation are presented to confirm the conclusions obtained analytically.