This　study　considers　a　H∞　filtering　problem　for　discrete-time　switched　systems　with　multiple　packet　dropouts.　The　switching　signal　may　be　lost　that　is　similar　to　the　measurement　signal　during　transmission.　Also,　the　multiple　packet-dropouts　phenomenon　is　described　by　Bernoulli　binary　sequences.　With　the　aid　of　a　novel　switched　Lyapunov　function　containing　a　random　change　of　switching　rate,　sufficient　conditions　in　the　form　of　linear　matrix　inequalities　for　the　desired　filter　are　derived,　which　ensure　the　filtering　error　system　is　exponentially　stable　in　the　sense　of　mean　square　with　prescribed　H∞　performance.　Finally,　a　practical　example　is　given　to　verify　the　effectiveness　of　the　proposed　approaches.　©　2020　The　Institution　of　Engineering　and　Technology.