One embodiment describes a rotary machine system, which includes a stator with a first tooth, a second tooth, a third tooth, and a fourth tooth; a first electromagnet that includes a first electromagnet wire wrapped around the second tooth and the third tooth and that generates a first magnetic field to attract a drive shaft; a first integrated position sensor, which includes a first sensor wire that carries a first current wrapped around the first tooth and the second tooth; a second integrated sensor, which includes a second sensor wire that carries a second current wrapped around the third tooth and the fourth tooth; and a controller that determines current position of the drive shaft based at least on change of inductance of the first sensor wire and the second sensor wire, and that instructs the first electromagnet to adjust magnitude of the first magnetic field based at least in part on the current position.