Stabilization of rigid body dynamics using the Serret-Andoyer variables

This paper develops a new controller for stabilization of rigid body dynamics. The state-space model is formulated using canonical elements, known as the Serret-Andoyer variables, thus far unused for engineering applications. The controllability of the problem is examined and a damping feedback is derived using the Jurdjevic-Quinn method. It is shown that the new feedback controller is an asymptotic smooth feedback stabilizer. The performance of the new controller is examined in a simulation, showing excellent dynamic closed-loop behavior.