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The rigid body dynamics of Shoot-the-moon game and model-based controller design
2010
Proceedings of the 2010 American Control Conference
A wooden game board named Shoot-the-Moon has interesting dynamics properties despite its simple structure of one steel ball rolling on two cylindrical rods. In this paper, we derive the equations of motion for Shoot-the-moon using an Eular-Lagrangian approach and explore its underactuated, nonlinear, nonholonomic dynamics. Two positon controllers are designed, one for a local linearization and another with nonlinear feedforward. Simulations of both controllers are performed, showing that the
doi:10.1109/acc.2010.5530797
fatcat:3sivml36p5dfvb2pypipjgktze