By avoiding the effects of earth's atmosphere, space interferometers offer significant improvements in optical performance over their ground based counterparts. Since the resolving power of an interferometer is proportional to the length of its baseline, very long baselines has been proposed for space flight. However, the longer the baseline the more flexible the spacecraft which in turn implies a less benign vibration environment. In this paper the problem of structural vibration is dealt with a multi-layer control approach which includes structural quieting, disturbance isolation, and active optical control. The approach is validated in the laboratory and experimental results obtained for the disturbance rejection of each control layer are presented.