In　the　framework　of　multi-objective　control,　this　paper　presents　a　mixed　H-2/H-infinity　dynamic　output　feedback　control　strategy　to　the　network　remote　control　system　with　measurement　data　missing　and　control　data　missing.　Via　matrix　inequality　method,　the　sufficient　for　existence　of　the　dynamic　output　feedback　controller,　guaranteeing　the　closed-loop　system　has　H-2　and　H-infinity　performance　simultaneously,　is　given.　A　novel　arithmetic　is　put　forward　to　optimize　the　controller　performance　via　SLPMM　(sequentially　linear　programming　matrix　method).　A　numerical　example　is　presented　to　demonstrate　the　feasibility　of　the　proposed　design　approach.