In　this　paper,　an　iterative　LMI　approach　is　proposed　to　deal　with　the　control　problem　for　Networked　Control　Systems　(NCSs)　with　random　communication　delays.　Both　random　measurement　and　control　delays　are　simultaneously　considered　due　to　limited　communication　capacity.　The　NCSs　with　both　measurement　and　control　delays　are　modelled　as　a　stochastic　parameter　system　which　contains　two　independent　Bernoulli　distributed　white　sequence.　A　dynamic　output　controller　is　designed　to　exponentially　stabilise　the　networked　system　in　the　sense　of　mean　square,　and　also　achieve　the　prescribed　Hdisturbance　attenuation　level.　An　iterative　algorithm　is　developed　to　compute　the　optimal　Hx　disturbance　attenuation　and　the　controller　parameters.　An　illustrative　example　is　provided　to　show　the　applicability　of　the　proposed　method.　©　2009　Inderscience　Enterprises　Ltd.