Abstract: A satellite with an electrodynamic stabilization system is considered. To solve the problem of triaxial stabilization of an artificial satellite in an arbitrary position in the orbital coordinate system, the question is raised of the possibility of creating an electrodynamic control system for the angular motion of an artificial satellite according to the type of PID controller, which differs from the classical PID controller in that the restoring component of the control moment contains a distributed delay. A theorem concerning the asymptotic stability of the stabilized equilibrium position of an artificial satellite is proved, which confirms that it is possible to create the indicated system of electrodynamic control. The effectiveness of the proposed control system and the feasibility of its application for smoothing transient processes is confirmed by numerical simulation.