This　paper　discusses　the　stability　control　problem　for　assembled　spacecraft　of　space-based　manipulator　and　target　satellite　after　capturing　operation　is　completed.　The　dynamical　model　of　the　space-based　manipulator　system　is　derived　by　Lagrange　formula,　and　based　on　the　coupling　momentum　and　impulse　transfer　during　operation　process　of　space-based　manipulator　to　capture　the　target　satellite,　the　mathematical　models　which　are　suitable　lor　the　design　of　control　system　lor　free-floating　space-based　manipulator　to　on-orbit　capture　floating　satellite　are　established.　Using　the　above　mathematical　model,　a　nonsingular　terminal　sliding　mode　control　algorithm　based　on　fuzzy　neural　network　is　proposed.　The　mentioned　control　algorithm　needs　neither　to　parameterize　the　dynamic　equations　of　the　system　linearly,　nor　knows　any　system　parameters.　Due　to　the　use　of　sell-learning　capability　of　neural　network　to　modify　control　rules　of　fuzzy　control　and　membership　functions,　the　fuzzy　neural　network　can　reduce　the　number　of　fuzzy　rules　in　the　identification　of　system　parameter,　and　it　may　be　more　adapted　for　practical　application　of　space-based　manipulator　system　to　on-orbit　capture.　Eventually,　a　complete　analysis　on　the　stability　and　the　performance　are　performed　by　using　Lyapunov　theory.　The　correctness　and　applicability　of　the　control　scheme　are　manifested　by　comparison　of　simulation　and　experimental　results.　©　2018　Journal　of　Dynamics　and　Control.　All　rights　reserved.