  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, no
intended control torque along the magnetorquer can be produced, which makes
systems underactuated. Our paper introduces a control method using Model
Predictive Control (MPC) and compares it with B-dot control algorithm. By
applying these control laws to Kyushu University Light Curve Inversion (Q-Li)
Demonstration Satellite in numerical simulations, we describe the applicability
of these control laws to underactuated systems.
