Distributed　robust　consensus　problem　for　a　class　of　multi-agent　systems　(MASs)　with　uncertain　communication　topology　is　investigated.　We　propose　a　state　linear　transformation　by　constructing　the　incidence　matrix　of　a　directed　spanning　tree　in　the　nominal　communication　topology,　and　transform　the　problem　of　state　consensus　of　uncertain　multiagent　systems　into　the　problem　of　robust　partial　asymptotic　stability　of　corresponding　linear　systems.　Firstly,　we　use　the　linear　transformation　constructed　from　a　directed　spanning　tree　to　transform　the　closed　uncertain　MAS　into　a　reduced-order　system.　Secondly,　by　using　decomposition　of　perturbation　Laplacian　matrix,　we　design　a　quadratic　stabilization　robust　controller　for　the　reduced-order　system,　and　derive　a　sufficient　condition　guaranteeing　all　agents＇s　states　to　achieve　asymptotic　consensus.　Based　on　the　condition,　the　design　problem　of　protocol　parameters　is　converted　into　finding　the　feasible　solution　of　linear　matrix　inequalities.　Finally,　the　effectiveness　and　feasibility　of　the　proposed　approach　is　verified　by　simulation　examples.　©　2020,　Editorial　Department　of　Control　Theory　&　Applications　South　China　University　of　Technology.　All　right　reserved.