In　this　paper,　the　coordinated　control　of　a　flexible　space　manipulator　system　with　a　front　flexible　link　is　discussed.　With　the　assumed　mode　method　and　linear　momentum　conservation　of　the　system,　the　dynamics　of　the　manpulator　is　derived　in　Lagrangian　formulation.　By　using　the　augmentation　approach,　a　robust　control　scheme　for　the　coordinated　motion　between　the　spacecraft＇s　attitude　and　arm＇s　joints　of　the　flexible　space　manipulator　with　bounded　external　disturbances　and　uncertain　parameters　to　track　the　desired　trajectories　in　joint　space　is　proposed.　It　is　designed　based　on　a　priori　knowledge　about　the　uncertainty-bound　and　possesses　the　advantage　that　it　can　greatly　reduce　the　calculation　time　needed　by　the　adaptive　or　neural　network　control　schemes.　Simulation　results　show　that　the　presented　controller　can　stabilize　the　system　to　track　the　desired　trajectories　and　keep　the　vibration　amplitude　of　the　flexible　arm　to　be　relatively　low-level.　Copyright　©　2010　by　ASME.