A　delay-independent　approach　to　robust　H-infinity　filtering　is　proposed　for　discrete-time　system　with　multiple　delays　in　the　state　and　nonlinear　inequality　constraints.　The　uncertain　parameters　are　supposed　to　reside　in　a　polytope　and　a　method　for　designing　the　robust　H-infinity　filters　for　the　filtering　error　system　with　sector　nonlinearities　is　derived.　The　designed　filters　can　guarantee　robustly　asymptotically　stable　and　a　prescribed　H-infinity　noise　attenuation　level　for　the　filtering　error　system.　A　unified　framework　of　filter　can　be　obtained　from　the　solution　of　convex　optimization　problem　via　linear　matrix　inequality　(LMI),　which　can　be　solved　via　efficient　interior-point　algorithm.　Finally,　an　example　is　given　to　illustrate　the　effectiveness　of　the　proposed　methods.