Global stabilization of the oscillating eccentric rotor

Chih-Jian Wan, D.S. Bernstein, V.T. Coppola
Proceedings of 1994 33rd IEEE Conference on Decision and Control  
The oscillating eccentric rotor has been widely studied to model resonance capture phenomena occurring in dual-spin spacecraft and rotating machinery. This phenomenon arises during spin-up as a resonance condition is encountered. We consider the related problem of rotor despin. Specifically, we determine nonlinear feedback control laws that not only despin the rotor but also bring its translational motion to rest. These globally asymptotically stabilizing control laws are derived using partial
more » ... eedback linearization and integrator backstepping schemes. For the case in which the oscillating eccentric rotor is excited by a translational sinusoidal forcing function, the control law is shown to attenuate the amplitude of the translational oscillation.
doi:10.1109/cdc.1994.411574 fatcat:7zvsu5qa7far3cqfesepchs3ny