A control module includes a fixed control apparatus which is provided with a touch-sensitive surface so as to provide a control signal representative of the position or of the movement of a finger on the sensitive surface. The sensitive surface of the control apparatus includes a toroidal portion arranged about a main axis. The control module includes a control unit which is designed to detect an axial component and a circumferential component of a tactile movement on the sensitive surface so as to produce a processed control signal which is a function of these two components.