This　paper　studies　the　fixed-order　controllers　design　problem　for　multi-input-multi-output　(MIMO)　systems.　Polynomial　methods　are　employed　to　design　a　controller　that　guarantees　all　the　closed-loop　poles　reside　within　given　D-stability　regions.　An　H∞　optimization　approach　is　proposed　to　minimize　the　interaction　between　different　channels　of　the　MIMO　system.　Sufficient　conditions　for　the　existence　of　such　a　fixed-controller　is　established　by　using　the　linear　matrix　inequalities　(LMIs)　approach.　©　2008　IEEE.