This　paper　is　concerned　with　the　problem　of　a　non-fragile　H2　controller　design　for　linear　discrete-time　systems　in　the　presence　of　controller　gain　variations.　The　controller　gain　to　be　designed　is　assumed　to　have　multiplicative　gain　variations.　The　purpose　of　this　work　is　to　design　a　dynamic　output　feedback　controller　such　that,　for　all　admissible　multiplicative　controller　gain　variations,　the　closed-loop　systems　are　asymptotically　stable　and　have　an　H2　performance　criterion　via　matrix　inequalities.　The　sequentially　linear　programming　method　(SLPMM)　is　applied　to　solve　the　matrix　inequalities.　Numerical　example　is　given　to　illustrate　the　design　procedure　and　its　effectiveness.　©　2007　IEEE.