Vibrations following the firing of thrusters to dump wheel momentum degrade
pointing performance of a reaction-wheel controlled spacecraft, The use of
input shaping is suggested to modulate thruster pulses with a set of prope
rly timed impulses to suppress vibrations after dumping momentum. An exact
solution is obtained for thruster switching times in the idealized case of
no constraints, With realistic constraints on the thruster, permissible att
itude error, and elastic deflection, an optimization problem is solved. The
solution is a modification of a concatenated set of pulses for the idealiz
ed case, each set designed to dump a fraction of the total momentum with vi
bration reduction, It is shown that momentum can be dumped during slewing m
aneuvers along with vibration suppression, resulting in a reduction of slew
time with no additional fuel consumption. In this case input shaping is ap
plied to both reaction wheel anti thruster commands to minimize residual vi
brations, Results of large angle slewing and momentum dumping with and with
out reaction wheel saturation are presented for the next generation space t
elescope.