For an object on a bearing mounting having a magnetic bearing providing a magnetic field generally produced by an electromagnet, the bearing is regulated based on a position of the object relative to the bearing. The position of the object is determined by reference to an estimate of the inductance obtained using a least squares method, in which the electrical resistance of the bearing is taken into account. The resistance is subject to variations, for example due to temperature fluctuations; however, the electrical resistance can be estimated by regulating the inductance error, Δ{circumflex over (L)}={circumflex over (L)}2,sLS−{circumflex over (L)}1,sLS down to zero, where the resistance adjustment facility may be a low-pass filter and an integration controller.