Bidirectional　DC-DC　converter　is　essential　for　energy　storage　system.　What＇s　more,　it　is　widely　used　in　uninterruptible　power　supply,　electric　vehicles,　power　supplies　for　aeronautics　and　astronautics　or　other　new　applications.　The　high　efficiency　and　high　voltage　gain　of　the　bidirectional　converters　will　be　the　development　trend.　A　CB-tapped　inductor(reverse　coupling)　bidirectional　high　gain　modified　Cuk　circuit　characterized　with　simple　structure,　low　input　and　output　ripple,　high　voltage　gain　in　both　step-down　and　step-up　operation　modes　was　proposed.　In　addition,　in　order　to　improve　the　dynamic　performance　and　anti-disturbance　ability　of　the　proposed　converter,　an　improved　fuzzy　control　strategy　based　on　Takagi-Sugeno-Kang　fuzzy　control　technique　was　proposed,　whose　output　scale　factor　was　dynamically　changed,　and　it　possesses　the　characteristics　of　strong　robustness,　fewer　fuzzy　rules,　less　calculation,　and　simpler　control.　The　operating　process　of　the　proposed　circuit　was　analyzed　in　detail,　including　voltage　gain　characteristics,　main　parameters　and　the　voltage　or　current　stress　characteristics　of　the　power　semiconductor　devices.　Besides,　the　proposed　control　strategy　of　the　converter　was　analyzed　in　detail.　Finally,　the　simulation　was　carried　out　in　this　paper,　and　a　400W　48V/400V　prototype　was　built　to　verify　the　validity　of　the　theoretical　analysis　of　the　proposed　circuit.　Compared　with　the　traditional　PI　control,　the　proposed　fuzzy　control　strategy　can　suppress　the　disturbance　more　effectively,　which　improves　the　dynamic　performance　of　the　proposed　converter　and　achieve　robust　control.　©　2021　Chin.　Soc.　for　Elec.　Eng.