Minimizing transient artifact of position estimate in inductively-sensed electromagnetic actuator system with shared inductive sensor

A system may include an electromagnetic actuator, a first coil configured to drive mechanical displacement of the electromagnetic actuator, a second coil configured to drive mechanical displacement of the electromagnetic actuator, and an inductance sensing subsystem having an inductance sensing path coupled to the first coil and the second coil. The inductance sensing subsystem may be configured to select one of the first coil and the second coil for driving mechanical displacement of the electromagnetic actuator, select the other of the first coil and the second coil as a sensing coil for sensing displacement of the electromagnetic actuator, determine a displacement of the electromagnetic actuator based on a measurement of estimated inductance of the sensing coil, and when switching selection of the sensing coil from the first coil to the second coil determine the displacement of the first coil based on a measured inductance of the first coil at approximately the time of switching selection, estimate state variables of the inductance sensing path to be used with the second coil based on the displacement, and apply the state variables to the inductance sensing path after switching selection of the sensing coil from the first coil to the second coil.