DYNAMIC MODEL OF VECTOR MOTION AND ITS APPLICATION IN SPACECRAFT UNIAXIAL ORIENTATION PROBLEMS

The object of study is the spacecraft attitude control system. The subject of the study is the quaternion dynamic equation of motion of an arbitrary normalized vector and methods for constructing on its basis algorithms to control the spacecraft’s uniaxial orientation. In this work, a new dynamic model of vector motion in a body-fixed frame is obtained, its properties are investigated, and methods for solving uniaxial orientation problems using this model are considered. This model application significantly simplifies the synthesis control task, which, in this case, is reduced to control synthesis for a system that is a set of second-order integrating links. In many cases, the synthesis problem has an analytical solution for such systems. The resulting control algorithms are much simpler to imple- ment than the ones obtained using the traditional model. The results of numerical simulation, which confirm the effectiveness of the proposed algorithm, are presented.