“…State-of-the-art techniques for sensorless position detection of solenoid actuators can be divided into three categories: observer based on the back-induced electromotive force (back-EMF) [ 7 , 8 ], identification of the differential inductance [ 4 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 ] and identification of eddy current losses [ 23 , 27 , 28 ]. Observer-based techniques exploit the back-EMF induced inside an actuator during movement [ 6 , 7 , 8 ], thus delivering precise and unique estimates of the position when the actuator is moving at middle or high speed.…”