In　this　paper,　we　consider　the　robust　output　containment　problem　of　linear　heterogeneous　multi-agent　systems　under　fixed　directed　networks.　A　distributed　dynamic　observer　based　on　the　leaders＇　measurable　output　was　designed　to　estimate　a　convex　combination　of　the　leaders＇　states.　First,　for　the　case　of　followers　with　identical　state　dimensions,　distributed　dynamic　state　and　output　feedback　control　laws　were　designed　based　on　the　state-coupled　item　and　the　internal　model　compensator　to　drive　the　uncertain　followers　into　the　leaders＇　convex　hull　within　the　output　regulation　framework　Subsequently,　we　extended　theoretical　results　to　the　case　where　followers　have　nonidentical　state　dimensions.　By　establishing　virtual　errors　between　the　dynamic　observer　and　followers,　a　new　distributed　dynamic　output　feedback　control　law　was　constructed　using　only　the　states　of　the　compensator　to　solve　the　robust　output　containment　problem.　Finally,　two　numerical　simulations　verified　the　effectiveness　of　the　designed　schemes.