Control device, including a switch (60) having a body (6) and a control rod (1) extending along an axis (A) to an end (19), a button (2) made of molded plastic including an axial recess (12) of the axis, for receiving the control rod, an anchoring part (3) made of cut and folded sheet metal including a transverse portion (30) interposed between the end of the control rod and a shoulder of the axial recess of the button, the anchoring part including a plurality of first claws (4), directed away from the body and oriented at an angle in the direction of the axis and bearing against the control rod, and a plurality of second claws (5), directed toward the body and oriented at an angle away from the axis, the second claws bearing against the button so as to prevent any removal of the button following insertion.