In　this　study,　a　novel　switching　rule　is　designed　for　DC-DC　converters　that　drive　the　state　of　the　switched　dynamic　system　to　a　desired　equilibrium　point.　Utilizing　the　notion　of　admissible　edge-dependent　average　dwell　time(AED-ADT),　the　proposed　control　law　handle　the　chattering　problem　on　the　operating　point,　limit　high　frequency　and　decrease　the　switching　loss.　The　results　are　given　in　terms　of　linear　matrix　inequalities(LMI).　The　efficiency　of　the　proposed　method　is　illustrated　by　simulation.　©　2019　IEEE.