Bi-directional　DC-AC　converters　are　widely　used　in　the　field　of　electric　vehicle-to-grid.　However,　the　inductance　of　the　grid-side　interface　filter　is　affected　by　the　length　of　the　grid　connection　and　the　power　level,　which　presents　nonlinear　characteristics.　This　poses　challenges　for　high-performance　grid　waveform　control.　In　this　paper,　a　modeling　method　for　bi-directional　DC-AC　grid-connected　converters　based　on　type-II　T-S　fuzzy　models　is　proposed,　and　the　corresponding　type-II　T-S　fuzzy　control　strategy　is　designed　to　address　the　parameter　uncertainty　and　non-linearity　issues.　Simulation　results　show　that　type-II　T-S　fuzzy　control　offers　superior　control　performance　and　better　current　waveform　quality　compared　to　type-I　T-S　fuzzy　control　under　uncertainty　parameter　conditions.　The　effectiveness　of　the　proposed　strategy　is　further　validated　through　a　1　kW　prototype　of　a　bi-directional　DC-AC　converter.　©　2024　by　the　authors.