With　the　increase　in　the　diameter　of　antenna,　it　easily　leads　to　low　natural　frequency.　Besides,　on　account　of　the　characteristics　of　lightweight,　great　flexibility,　weak　damping　and　large　size,　external　excitation　can　dramatically　bring　vibration.　Therefore,　this　paper　investigates　the　vibration　control　for　a　hoop　flexible　structure　of　antenna　by　using　a　piezoelectric　stack　actuator.　At　first,　a　multi-body　dynamics　equation　is　established　and　solved　to　illustrate　the　influence　of　external　excitation.　Meanwhile,　proportional　derivative　algorithm,　fuzzy　algorithm,　and　least　mean　square　adaptive　filtering　algorithm　are　applied　to　derive　the　vibration　control　theory.　Then,　a　3D　model　of　the　hoop　flexible　structure　is　built　by　finite　element　software.　The　frequency　and　mode　are　calculated　by　modal　analysis.　Finally,　based　on　a　designed　piezoelectric　actuator,　the　simulation　is　established　to　suppress　the　vibration.　The　result　illustrates　that　the　amplitude　of　response　is　decreased　significantly　after　adopting　the　actuator　and　intelligent　control　algorithm.　©　2017　Springer-Verlag　GmbH　Austria