The　reliable　H-infinity　control　problem　for　time-varying　delayed　discrete-time　systems　is　proposed　for　the　case　of　a　simultaneous　presence　of　sensor　failures.　A　more　practical　general　mode　of　sensor　is　presented　to　describe　sensor　failures.　Based　on　a　linear　matrix　inequality(LMI)　technique,　a　static　output　feedback　reliable　controller　is　designed,　such　that,　in　normal　and　fault　cases　of　sensor,　the　closed-loop　system　is　asymptotically　stable　and　has　an　H-infinity　disturbance　attenuation　bound.　A　numerical　example　is　presented　to　demonstrate　the　applicability　and　effectiveness　of　the　proposed　approaches.