Protection of an Object on a Movable Base Using Anticipating Control under the Worst Disturbances

Abstract

The problem of constructing a guaranteeing anticipating control for a shock isolator that protects an object on a movable base from impacts acting on this base is considered. It is assumed that the shape of the impact is not known but its duration is given and the base acceleration is described by a sign definite function of time the integral of which over time is also given. The anticipating control acts between the base and the object to be protected, it has one switching, is bounded, and the absolute acceleration of the base may exceed this bound only on one time interval. The performance index to be minimized is the peak displacement of the object relative to the base for various disturbances from the class of impacts under consideration. Optimal and near-optimal solutions are obtained. These solutions are compared with each other and with the solutions obtained based on the controls designed in previous studies.