An electric starter system is usable with an engine and a power inverter module (PIM), e.g., of a powertrain. The starter system includes a polyphase/AC brushless starter motor connected to the PIM via an AC voltage bus and selectively connected to the engine during a requested engine start event. A sensor on the DC voltage bus outputs a signal indicative of a voltage level of the DC voltage bus. The controller executes a method using voltage stabilization logic having a proportional-integral (PI) torque control loop. Logic execution in response to the requested engine starting event causes the controller to control the starter motor, when the bus voltage exceeds a calibrated minimum voltage, using a starting torque determined via the control loop. The commanded starting torque limits inrush current to the starter motor such that the DC voltage bus remains above the minimum voltage.