Viswanathan, Sasi Prabhakaran (New Mexico State University), Sanyal, Amit (New Mexico State University), Leve, Frederick (Air Force Research Laboratory, Space Vehicles Directorate), McClamroch, N. Harris (Univ. of Michigan)

Geometric Mechanics Based Modeling of the Attitude Dynamics and Control of Spacecraft with Variable Speed Control Moment Gyroscopes

Scheduled for presentation during the Contributed session "Aerospace Control" (MoBT3), Monday, October 21, 2013, 14:10−14:30, Tent A

6th Annual Dynamic Systems and Control Conference, October 21-23, 2020, Stanford University, Munger Center, Palo Alto, CA

This information is tentative and subject to change. Compiled on April 18, 2024

Abstract

The attitude dynamics of a spacecraft with a variable speed control moment gyroscope (VSCMG), in the presence of external torques and internal inputs, is derived using variational principles. A complete dynamics model, that relaxes some of the assumptions made in prior literature on control moment gyroscopes, is obtained. A non-standard VSCMG model, that has an offset between the center of the gimbal axis and the center of the rotor (flywheel) is considered. The dynamics equations show the complex nonlinear coupling between the internal degrees of freedom associated with the VSCMG and the spacecraft base body's attitude degrees of freedom. Some of this coupling is induced by the non-zero offset between the gimbal axis and the rotor center. This dynamics model is then generalized to include the effects of multiple control moment gyroscopes placed in the base body with non-parallel gimbal axes. It is shown that the dynamical coupling can improve the control authority on the angular momentum of the base body of the spacecraft using changes in the momentum variables of the VSCMG. Numerical simulations confirm the use of these VSCMGs for attitude control for a given de-tumbling maneuver.