An adaptive robust control is presented for the vibration reduction of a fl
exible spacecraft by combining the input shaping technique with the sliding
-mode control. The combined approach appears to be robust in the presence o
f a severe disturbance and an unknown parameter which will be estimated by
on-line least-square method. As a maneuver strategy, it is found that a syn
thesized trajectory with a combination of low-frequency mode and rigid-body
mode results in better performance and is more efficient than the traditio
nal rigid-body trajectory alone which many researchers have employed. The f
easibility of the vibration control approach is demonstrated by applying it
to a benchmark problem in aerospace. For the applications of the proposed
technique to realistic flexible spacecraft systems, several requirements ar
e discussed such as mode stabilization and enormously large system order.