A method and system for dampening a stick-slip vibration. The method may comprise determining at least one frequency of a stick-slip vibration; determining mechanical properties of the drilling system; producing a torque signal from a controller having at least a second order; controlling a rotational speed of a top drive from the torque signal produced by the controller; and damping stick-slip vibration of the drilling system. The system may further comprise a drill string and a bottom hole assembly may be connected to the drill string. A drill bit may be connected to the bottom hole assembly and an information handling system may be connected to the drilling system.