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This paper obtains the nonlinear decoupling control laws of 3-phase integrating magnetic non-isolated VRM by differential geometry theory. Firstly, the unified switch impulse function is given, and the three-input and three-output affine nonlinear model is built up. Secondly, the state variable feedback linearization control law of 3-phase integrating magnetic VRM is given based on the differential geometry theory. Finally, the simulation and comparison test is performed and the simulation result indicates that the variable feedback linearization control based integrating magnetic VRM features the excellent dynamic performance and steady-state characteristics.