In　this　note,　H∞　output　tracking　problem　for　network-based　control　system　with　multiple　packet　dropouts　is　introduced.　Two　channel　packet　dropouts　are　simultaneously　considered　due　to　limited　communication　capacity.　One　is　measurement　channel　packet　dropouts　which　are　from　the　sensor　to　the　controller.　The　other　is　control　channel　packet　dropouts　which　are　from　the　controller　to　the　actuator.　The　random　multiple　packet　dropouts　are　assumed　to　subject　to　the　Bernoulli　random　binary　distribution.　A　linear　matrix　inequality(LMI)-based　design　method　is　proposed　for　designing　observer-based　feedback　controller　to　guarantee:　1)　the　closedloop　system　to　be　mean-square　stable,　2)　the　output　of　the　closed-loop　system　tracks　the　output　of　a　given　reference　model　well　in　the　H∞　sense,　3)　reduce　the　tracking　error　as　small　as　possible　for　all　bounded　reference　inputs.　Finally,　illustrative　examples　are　provided　to　show　the　applicability　of　the　proposed　method.　©　2010　IEEE.