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This research proposes an innovative approach to detumble satellites'triple-axis angular velocities with only one single-axis magnetic torquer.Since magnetic torque is generated perpendicularly to magnetorquers, nointended control torque along the magnetorquer can be produced, which makessystems underactuated. Our paper introduces a control method using ModelPredictive Control (MPC) and compares it with B-dot control algorithm. Byapplying these control laws to Kyushu University Light Curve Inversion (Q-Li)Demonstration Satellite in numerical simulations, we describe the applicabilityof these control laws to underactuated systems.

Model Predictive Approach for Detumbling an Underactuated Satellite