Control of Anticipation and Delay in the Problem of Shock Isolation of an Object on a Movable Base

The problem of protection of an object on a movable base from transient shock disturbances by means of an active shock isolator is considered. The maximal displacement of the object relative to the base is taken as the performance index to be minimized. Proceeding from the anticipating optimal control constructed for the instantaneous impact, a guaranteeing control with optimization of the starting instant is designed for a class of external disturbances. The control optimized with respect to the starting instant is compared in terms of the performance index with other control strategies.