Compared　with　the　traditional　PI　control,　the　current　loop　based　on　model　predictive　control　has　better　dynamic　performance　and　is　widely　used　in　the　field　of　power　electronic　control.　Peak　current　control　(PCC)　can　conveniently　protect　the　peak　current　of　inductance,　avoid　the　saturation　of　inductance,　and　easily　realize　the　over-current　protection　of　converter.　In　this　paper,　a　model　predictive　peak　current　control　algorithm　for　real　time　inductance　identification　is　proposed　for　BOOST　converter,　and　a　method　of　double　sampling　peak　current　and　valley　current　is　proposed　to　realize　real　time　identification　of　inductance　value　in　a　sampling　period,　which　improves　the　dynamic　performance　and　robustness　of　the　algorithm.　Simulation　and　experiment　show　that　the　proposed　method　can　identify　the　inductance　value　in　real　time　and　track　the　reference　value　of　the　inductance　current　in　two　control　periods.　©　Published　under　licence　by　IOP　Publishing　Ltd.