Control of the angular motion of a semiactive bundle of bodies relying on the estimates of nonmeasurable coordinated obtained by Kalman filtration methods

It is shown that for the formation of effective control of the motion of flexible objects defined below in the form of the semiactive bundle of bodies, there is a need for the information on the coordinates of a “rigid” and an “elastic” component of the total motion, which usually defy the direct measurement. Issues of the use of the Kalman filtration are treated for the estimation aboard (in flight conditions) of modal-physical coordinates (MP coordinates) of the angular motion of deformable space vehicles (DSVs) belonging to the class of mechanical systems under consideration. With the methods of mathematical modeling, a high rate and a high accuracy of the estimation of MP coordinates are displayed, which are necessary for the use of the resulting estimates in the problem of control over the class of objects under consideration in real time. A procedure is suggested for the correction of the basic algorithm of orientation, which affords the stability of the angular motion of an object with an essentially nonrigid structure.