This paper deals with the dynamics and control of planar spin-up and s
lewing of the Space Shuttle carrying two 150 meter long, flexible ante
nna booms. An order-n formulation of the dynamical equations based on
a model that facilitates a study of large deflection of beams is given
. A recently developed theory of dead-beat control for vibration suppr
ession is applied for the spin-up and slewing maneuvers. Open loop con
trol of spin-up is achieved with small residual vibration. Slewing thr
ough 90 degrees in less than sixteen minutes is demonstrated by combin
ing input shaping with closed loop control. Robustness of the control
to modeling errors in frequency is illustrated.