This　paper　investigates　the　robust　distributed　model　predictive　control　(DMPC)　based　consensus　problem　of　general　linear　discrete-time　multi-agent　systems　subject　to　external　disturbances.　We　first　propose　a　robust　DMPC　based　consensus　algorithm,　mainly　relying　on　the　DMPC　based　consensus　of　a　nominal　system　whose　state　deviation　from　the　actual　state　is　bounded　by　an　invariant　set.　We　then　prove　the　feasibility　and　robust　consensus　of　the　proposed　algorithm.　Finally,　we　present　a　numerical　example　to　verify　the　theoretical　results.　©　2019　IEEE