In　the　paper,　the　robust　consensus　control　is　investigated　for　a　class　of　second-order　multi-agent　systems　with　time-varying　interaction　topology　and　disturbances.　Firstly,　due　to　the　variation　considered　being　bounded,　the　topology　is　modeled　as　time-varyingly　uncertain　topology　with　polytopic　type.　Then,　regarding　the　uncertain　parameters　as　independent　variables　and　formulating　the　multi-agent　system　as　a　special　polynomial　system,　the　robust　consensus　problem　is　converted　to　the　robust　stability　analysis　of　the　error　model　via　stability　theory　of　control　systems.　Furthermore,　the　idea　is　generalized　to　study　the　disturbance　attenuation　problem.　Sufficient　conditions　for　the　solutions　to　the　robust　consensus　problems　without　and　with　disturbance　attenuation　are　formulated　in　terms　of　homogeneous　parameter-dependent　linear　matrix　inequalities　(HPD-LMIs)　which　can　be　solved　via　semidefinite　programming　relaxations　based　on　the　sum　of　squares　technique.　Finally,　simulation　results　are　provided　to　illustrate　the　effectiveness　of　the　approach.　©　2018　Elsevier　B.V.