1. A method for controlled management of a mobile element, driven by an electric motor, with anti-entrapment or anti-collision safety, said mobile element, such as a vehicle's window pane or panel, a movable seat or the like, being conveniently guided and driven by a DC electric motor with a multi-polar permanent magnet, characterized by performing a detection of a situation of entrapment of an object or member interposed in said mobile element's travel, or of a possible collision of said mobile element by means of a first algorithm based on fuzzy logic, which inputs are said mobile element's position and the relative increments that can occur in the current intensity demanded by the motor at one turn of the motor and after a next, subsequent turn of said motor.