In　this　paper,　the　robust　leader-following　consensus　of　heterogeneous　linear　multi-agent　systems　with　uncertainties　under　switching　networks　is　considered.　In　the　meantime,　we　assumed　here　that　all　of　followers　cannot　reconstruct　the　leader　dynamics　independently　since　the　leader＇s　states　cannot　be　fully　accessed　by　the　follower　who　has　interaction　with　the　leader.　With　the　help　of　internal　model　principle　by　given　a　mild　collective　detectability　and　a　joined　connectivity　of　topology　assumptions,　we　proposed　a　robust　distributed　dynamic　output　feedback　control　law　under　output　regulation　framework　to　solve　robust　consensus　problem　of　the　multi-agent　systems　utilizing　the　well-designed　compensator,　which　allows　all　followers　have　nonidentical　state　dimensions＇　dynamic.　A　numerical　example　is　conducted　to　verify　our　design.　©　2021　Technical　Committee　on　Control　Theory,　Chinese　Association　of　Automation.