The　problem　of　the　non-fragile　dissipative　control　for　the　nonlinear　discrete　systems　is　dealt　with.　The　T-S　models　is　constructed　for　nonlinear　systems,　which　makes　the　model　approach　to　the　original　system　more　exact.　The　sufficient　conditions　for　the　existence　of　a　dynamic　output　feedback　fuzzy　controller　such　that,　for　all　admissible　multiplicative　controller　gain　variations,　the　closed-loop　system　is　asymptotically　stable　and　the　dissipative　performance　is　guaranteed,　are　derived　in　the　sense　of　Lyapunov　asymptotic　stability　and　are　formulated　in　the　format　of　matrix　inequalities.　The　sequentially　linear　programming　matrix　method　(SLPMM)　is　applied　to　solve　the　matrix　inequalities.　Numerical　example　is　provided　to　demonstrate　the　feasibility　of　the　proposed　conditions　and　the　procedure　of　the　controllers　design.