Abstract: Methods and systems for measuring multi-turn angular position include a system of N gears meshed with one another, each gear having a unique number of teeth. A first gear is mounted to an input shaft. A set of N angular position sensors are each configured to measure the angular position of a respective gear in the system of N gears within one rotation. A control module is configured to determine an angular position of the input shaft over multiple rotations using the measured angular positions of the N gears.

Abstract: Methods and systems for measuring angular position include measuring an angular position within one rotation of a primary gear and a secondary gear that are meshed together. The primary gear and secondary gear have a first and second number of teeth respectively, where the first number of teeth and the second number of teeth are different. An angular position for the secondary gear is estimated using the measured primary gear angle and a reference value for each of the primary and secondary angle sensors. A number of primary gear rotations is calculated using the estimated angular position for the secondary gear and the measured angular position of the secondary gear. An angular position of the primary gear is calculated over multiple rotations using the calculated number of primary gear rotations, a reference value for the primary angle sensor, and the measured angle value of the primary gear within one rotation.