Title :
Global stabilization of the oscillating eccentric rotor
Author :
Wan, Chih-Jian ; Bernstein, Dennis S. ; Coppola, Vincent T.
Author_Institution :
Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA
Abstract :
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 feedback 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
Keywords :
asymptotic stability; electric machines; feedback; linearisation techniques; machine control; nonlinear control systems; rotors; dual-spin spacecraft; global stabilization; globally asymptotically stabilizing control laws; integrator backstepping schemes; nonlinear feedback control laws; oscillating eccentric rotor; partial feedback linearization; resonance capture phenomena; rotating machinery; rotor despin; translational motion; translational oscillation amplitude attenuation; translational sinusoidal forcing function; Actuators; Backstepping; Feedback control; Force control; Machinery; Resonance; Rotors; Space vehicles; Springs; Torque control;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411574
