The　dual-winding　bearingless　flux-switching　permanent　magnet　machines　(BFSPMM)　is　a　non-linear　and　multi-variable　complex　system.　The　traditional　speed　PI　and　radial　displacement　PI　control　have　disadvantage　of　large　overshoot.　The　system　is　susceptible　to　external　disturbances.　Based　on　the　idea　of　sliding　mode　variable　structure　control,　this　article　proposes　a　sliding　mode　control　(SMC)　strategy　for　the　radial　displacement　of　Dual-winding　BFSPMM　to　control　the　suspension　plane.　In　view　of　the　inaccurate　mathematical　model　in　sliding　mode　control,　the　gyro　effect　in　the　rotor　dynamics,　etc.　An　extended　state　observer　(ESO)　is　established　to　observe　the　system　disturbance,　and　the　disturbance　feedforward　compensation　control　is　added　to　SMC.　Thus,　a　compound　control　strategy　of　SMC　and　ESO　is　formed.　Compared　with　the　traditional　PI　control,　experimental　results　show　that　the　proposed　radial　displacement　SMC　has　advantages　of　faster　response　speed,　smaller　radial　displacement　pulsation,　and　strong　resistance　to　load　disturbances.　Compared　with　the　radial　displacement　SMC,　the　proposed　composite　control　strategy　of　radial　displacement　SMC　and　ESO　can　effectively　reduce　the　radial　displacement　pulsation　of　the　rotor　by　about　30%,　and　further　enhance　the　robustness　of　the　system.　©　2022,　Science　Press.　All　right　reserved.