A　state　observer-based　quantized　H∞　dynamic　output　feedback　problem　was　proposed　for　linear　discrete-time　MIMO　systems　with　missing　measurement　data.　A　separate　and　static　logarithmic　quantizer　for　each　output　channel　was　modeled,　and　the　sector　bound　approach　was　used　to　describe　the　quantization　error.　At　the　same　time,　a　Bernoulli　distributed　white　sequence　was　used　to　describe　missing　data　and　the　probability　of　the　occurrence　of　missing　measurement　data　was　assumed　to　be　known.　Then,　the　quantized　control　problem　was　turned　to　the　control　problem　of　uncertainty　systems.　Next,　the　state　observer　and　the　out-put　feedback　controller　were　designed　in　term　of　the　linear　matrix　inequality　(LMI)　method　to　make　the　systems　exponential　mean-square　stable　and　satisfy　the　prescribed　H∞　performance　of　the　systems.　Finally,　a　numerical　example　was　provided　to　demonstrate　the　validity　of　the　proposed　design　approach.