The　nonlinear　vibration　suppression　of　the　piezoelectric　functionally　graded　graphene-reinforced　laminated　composite　cantilever　(PFG-GRLCC)　rectangular　plate　with　positive　position　feedback　(PPF)　control　strategy　is　investigated　firstly.　The　material　properties　of　the　graphene-reinforced　structure　are　calculated　through　the　Halpin-Tsai　micromechanical　model.　Considering　the　transverse　external　excitation　and　the　converse　effect　of　piezoelectricity,　the　governing　equations　of　motion　are　formulated　through　von　Karman　large　deformation　theory,　the　classical　laminated　plate　theory,　and　Hamilton　principle.　After　adding　the　PPF　controllers,　a　four　-degrees　of　freedom　model　for　the　close-loop　vibration　control　system　is　achieved　via　Galerkin　truncation　technique.　The　average　equations　in　the　case　of　the　primary　resonance　and　1:1:3:3　internal　resonance　can　be　obtained　using　the　multiple　scale　perturbation　(MSP)　method.　The　amplitude-frequency　response　curves　are　studied　by　the　numerical　continuation　algorithm.　The　detailed　parametric　analyses　show　that　the　PPF　controller　can　effectively　reduce　the　nonlinear　vibration　response　amplitudes　of　the　PFG-GRLCC　rectangular　plate.　In　addition,　the　results　reveal　the　energy　transform　between　the　host　system　and　the　PPF　controller.　This　work　is　expected　to　provide　theoretical　guidance　for　nonlinear　large　amplitude　vibration　reduction　of　graphene-reinforced　structure.