In　order　to　solve　the　effect　of　time　lag　in　the　process　of　structural　vibration　control,　Linear　Quadratic　Guassian　Predicted　Controller　(LQGPC)　is　deduced　based　on　RBFNN.　This　controller　can　forcaste　the　control　force　at　next　serveral　steps　according　to　to-be　moment　response　of　controlled　structure.　Then　the　signal　of　control　force　at　next　serveral　steps　was　set　to　control　system　accroding　to　time　lag　of　control　system.　Finally,　A　five　-story　smart　isolated　frame　structure　is　analyzed　by　adopting　the　LQGPC　in　the　case　of　different　time　lag.　Simulation　results　show　that　control　effects　of　LQG　and　LQGPC　have　the　favorable　control　efficiency　and　both　two　algorithms　can　decrease　the　response　of　the　structure　effectively　in　the　case　of　no　time　lag,　but　LQGPC　still　has　better　ability　of　controlling　structural　response　in　the　case　of　different　time　lag　existing　in　system.