Yefymenko M. Mathematical models and methods for building the orientation control laws of the Earth remote sensing spacecraft

Yefimenko M. V. Mathematical models and methods for building the orientation control laws of the Earth remote sensing spacecraft. – Manuscript. Dissertation for the degree of Doctor of Technical Sciences in 01.05.02 specialty – mathematical modeling and computational methods – V.M. Glushkov Institute of Cybernetics of NAS of Ukraine, Kyiv, 2020. The dissertation deals with the creation of new mathematical models of a rigid body angular motion and their application for the construction of algorithms for high precision orientation of the Earth remote sensing (ERS) spacecrafts (SC). The proposed methods are based on the approach in which a dynamic equation of motion of a point along a unit sphere in four-dimensional space is used to describe the SC motion relative to the center of mass. The following problems related to the creation of the SC high-precision attitude control systems were developed in this work: 1. Development of the new rigid body angular motion models based on dynamic equation of a point moving along a unit sphere that simplify the synthesis of the SC attitude control algorithms; 2. Development and justification the new methods of the laws synthesis of SC attitude control using developed SC rotational motion models; 3. Development and justification of methods for SC attitude control directly by vector measurements without determining the quaternion of orientation; 4. Development of numerical algorithms for high-precision determination of the SC orientation; 5. Development of methods for SC attitude control without using the angular rate sensors information; 6. Development of methods for control by the excessive system of gyrodines to ensure high accuracy and dynamic characteristics of the SC angular motion. The practical value of the results obtained in the dissertation is the development of new methods for the construction of the laws of control of angular motion of the SC, capable during shooting to provide high precision and dynamic orientation characteristics. The results of the research were used to create the spacecraft control systems developed at the «HARTRON-YUKOM» research and production enterprise on the subject of the «Yuzhny» State Design Bureau, which is confirmed by the relevant implementation acts. Keywords: Rodrigo-Hamilton parameters, spacecraft, quaternion, orientation determination, gyrodyn, power gyroscopic complex, stellar sensor, angular velocity meter.