Guaranteeing Anticipating Control in Shock Isolation Problem

Abstract

New formulations of the optimal shock isolation problem for an object on a movable base are proposed. These formulations take into account the uncertainty of information about the shock (impact) pulse applied to the base and allow anticipating control for the shock isolator. A guaranteeing control law that minimizes the maximum of the absolute value of the displacement of the object relative to the base for the worst disturbance is sought. For a class of external disturbances that reflects a number of typical features of impact pulses, the optimal control laws and optimal anticipation times are found.