In this paper, we analyze potentials and describe methods of synthesis of multiprogram controls in different classes of dynamic systems. The main idea is to construct the control that provides predesigned finite set of asymptotically stable program motions for closed-loop system. Special attention is paid to modification of algorithms to extend possibilities of its application. For this aim, special class of multiprogram controls is involved. So-called multiprogram digital control we use for realization some program motions in a difference system, and for further discrete stabilization of these motions. Practically, the system closed with a multiprogram control is a nonlinear program automate that can realize any program motion of predesigned class depending on initial values. Developed theoretical base allows constructing of multiprogram control systems in cases of both complete and incomplete feedback when information in feedback channels is discrete.