The　active　vibration　control　and　fuzzy　control　of　free-floating　flexible　space　manipulator　with　an　attitude-controlled　base　are　discussed.　Associating　the　momentum　conservation,　the　dynamic　equations　of　the　system　are　developed　by　using　the　Lagrange-assumed　mode　method.　Based　on　the　results　and　under　the　assumption　of　two　kinds　of　time　scale,　singular　perturbation　model　of　the　space　flexible　manipulator　system　is　obtained.　The　fast-subsystem　controller　will　damp　down　the　vibration　of　the　flexible　link　by　using　a　PD　controller.　Hence,　the　slow-subsystem　fuzzy　logic　controller　dominates　the　trajectory　tracking.　In　particular,　it　doesn＇t　require　measuring　the　position,　velocity　nor　acceleration　of　the　base　because　of　an　effective　exploitation　of　the　particular　property　of　the　system　dynamics.　The　numerical　simulation　is　carried　out,　which　confirms　the　effectiveness　of　the　designed　controller.　©　2010　Journal　of　Mechanical　Engineering.