Аннотация:Protection of an object on a movable base from impact disturbances by means of a shock isolator with anticipating control is discussed. The control variable is constrained in absolute value. The impact disturbance is modelled by the time history of the base acceleration that does not change in direction. The duration of the disturbance and its integral with respect to time are fixed. A guaranteeing anticipating control for the worst disturbance is constructed.