The　finite　time　bumpless　transfer　control　issue　is　handled　via　the　co-design　of　controllers　and　a　switching　mechanism　for　switched　positive　systems,　where　each　subsystem　has　not　to　require　the　finite　time　bounded　property.　The　key　objective　of　this　article　is　that　the　control　bumpless　arising　from　switching,　by　restricting　the　magnitude　of　the　controller,　is　decreased.　Sufficient　conditions　are　also　established　on　the　basis　of　the　construction　of　the　state-dependent　switching　mechanism　and　the　feedback　controllers　for　subsystems,　which　ensures　the　bumpless　transfer　performance,　the　positivity　as　well　as　the　finite-time　boundedness　of　the　addressed　system.　Additionally,　a　simulation　example　is　supplied　to　demonstrate　the　efficacy　of　the　presented　finite　time　methodology.　©　2023　Technical　Committee　on　Control　Theory,　Chinese　Association　of　Automation.