The present description relates to a household appliance for treating soft goods, in particular a laundry washing or washing/drying machine of the electronically controlled type fitted with an electronic control system (17). The household appliance comprises an oscillating assembly connected to the frame by means of a suspension system comprising at least one damper (1). The damper (1) comprises two elements (3, 4) adapted to move reciprocally, at least one magnetic element, preferably a permanent magnet (9), and an electronic module (6) provided with at least one magnetic sensor, preferably a Hall element (12). The magnetic element (9) and the magnetic sensor (12) are housed in the damper (1) so as to detect the reciprocal motion of the two elements (3, 4). The electronic module (6) also comprises a microcontroller (16) connected to the magnetic sensor (12) and adapted to generate at least one piece of information, in particular at least one piece of information being representative of the value of the displacement of the oscillating assembly with respect to the frame, and to send said information to the electronic control system (17) over a digital communication line.