This　paper　investigates　the　aeroelastic　flutter　and　vibration　reduction　of　functionally　graded　(FG)　multilayer　graphene　nanoplatelets　(GPLs)　reinforced　composite　plates　with　piezoelectric　patch　subjected　to　supersonic　flow.　Activated　by　the　control　voltage,　the　piezoelectric　patch　can　generate　the　active　mass　and　active　stiffness　that　can　accordingly　increase　the　base　plate＇s　stiffness　and　mass.　As　a　result,　it　changes　the　GPLs　reinforced　plate＇s　dynamic　characteristics.　The　motion　equation　of　the　plate-piezoelectric　system　is　derived　through　the　Hamilton　principle.　Based　on　the　modified　Halpin-Tsai　model,　the　effects　of　graphene　nanoplatelets　weight　fraction　and　distribution　pattern　on　the　dynamic　behaviors　of　the　plate　are　numerically　studied　in　detail.　The　result　illustrates　that　adding　a　few　amounts　of　grapheme　nanoplatelets　can　effectually　enhance　the　aeroelastic　properties　of　the　plates.　Two　kinds　of　control　strategies,　including　the　displacement　and　acceleration　feedback　control,　are　applied　to　suppress　the　occurrence　of　the　flutter　of　the　plate.　It　shows　that　the　displacement　and　acceleration　feedback　control　can　improve　the　critical　flutter　Mach　number　of　the　plate　by　attaching　active　stiffness　and　active　mass,　respectively.　Furthermore,　the　combined　displacement　and　acceleration　feedback　control　has　a　better　control　effect　than　that　of　considering　only　one　of　them.