The　paper　centers　on　the　investigating　the　FT　(finite-time)　rate　anti-bump　switching　control　problem　for　switched　systems.　The　aim　is　to　propose　a　switching　control　scheme　to　alleviate　the　undesirable　big　jumps　in　the　system　rate　at　switching　points　while　achieving　the　disturbance　restrain　in　FT.　An　improved　definition　of　the　rate　anti-bump　switching　property　is　presented,　measuring　the　alleviation　level　on　the　rate　bumps　just　at　switching　points.　A　condition　is　captured　to　drive　the　rate　anti-bump　switching　property　and　the　disturbance　restrain　property.　A　switching　control　technique　is　developed　by　constructing　a　switching　law　combined　with　a　switching　controller　to　force　that　the　FT　rate　anti-bump　switching　control　issue　is　solvable.　A　verification　example　is　served　to　display　the　reasonability　of　the　developed　theory.　(C)　2021　Elsevier　Inc.　All　rights　reserved.