Protection of an Object on a Moving Base by means of Constant Control for the Case of Bounded Disturbancesстатья
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Дата последнего поиска статьи во внешних источниках: 30 января 2024 г.
Аннотация:The problem of constructing a guaranteeing control of a shock isolator that protects anobject on a movable base from impact disturbances to which the base is subjected to is considered. The impact disturbance applied to the base is assumed to be unknown in advance and is charaterized by its acceleration, limited by a constant-sign function of time of a given duration, the integral of which with respect to time is given. The control force acts between the base and the protected object, is bounded in magnitude, and the absolute acceleration of the base can exceed the maximum allowable value of the absolute acceleration of the object only on one time interval. The performance criterion to be minimized is the maximum displacement of the object relative to the base. As a magnitude limited control acting between the base and the protected object, a constant control of a given duration was taken, which is optimal for an instant impact in a problem without anticipation. The optimal moment of the start of the action of this control is obtained. Comparative estimates are given for the value of the performance index of the proposed control with other methods of control.