Investigation of the speed of the small-sized spacecraft control algorithm using reaction wheels
The paper considers a mathematical model of spacecraft motion in quaternions, taking into account the control constraints on the kinetic and control torque of the reaction wheel. We analyzed current approaches to the search for reaction wheel control factors providing quasi-optimal performance. Boundary conditions for different types of reaction wheel control have been obtained analytically. Furthermore, we introduced our own approach to the study of the effective control coefficients of the two term controller of the reaction wheel. By means of the new approach, the maneuver was successfully analyzed without any control constraints on the kinetic and control torque of the reaction wheel, and the dependences of the control coefficients were obtained providing the required speed for the considered case. Findings of research show that the dependences of the control coefficients obtained provide the highest performance for any initial angles of rotation in comparison with the previously obtained theoretical dependences of the coefficients
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