A　robust　control　method　is　developed　to　suppress　the　vibrations　of　the　functionally　graded　carbon　nanotube-reinforced　(FG-CNTR)　piezoelectric　laminated　composite　cantilever　plate　subjected　to　the　aerodynamic　force　and　thermal　environment.　The　distributions　of　the　carbon　nanotubes　(CNTs)　in　the　entire　plate　thickness　are　classified　as　the　functionally　graded　(FG)　or　uniform　distributions　(UD).　The　effective　material　properties　are　obtained　using　the　rule　of　mixtures.　The　classic　laminated　composite　plate　theory　and　Hamilton　principle　are　used　to　establish　the　governing　equations　of　motion　for　the　FG-CNTR　laminated　composite　cantilever　plate　under　combined　the　aerodynamic　force　and　thermal　environment.　Galerkin　method　is　used　to　obtain　a　two-degree-of-freedom　ordinary　differential　control　equation.　To　actively　suppress　the　vibration,　the　piezoelectric　patches　are　used　as　the　actuators　and　sensors　which　are　attached　to　the　upper　and　lower　surfaces　of　the　FG-CNTR　laminated　composite　cantilever　plate.　A　full-dimensional　state　observer　is　introduced　to　design　the　robust　controller.　To　verify　the　efficiency　of　the　control　strategy,　a　comparison　between　the　robust　controller　and　velocity　feedback　controller　(VFC)　indicates　that　the　robust　controller　has　better　control　efficiency　than　the　VFC.　The　effects　of　the　CNT　distribution,　CNT　volume　fraction,　temperature　and　aspect　ratio　on　the　dynamic　behaviors　of　the　laminated　composite　plates　are　studied.　The　effectiveness　and　accuracy　of　the　proposed　robust　controller　are　verified　through　numerical　simulations　under　different　cases.