A system including an apparatus for the management of a plant and a plant comprising: at least one electrical machine electrically coupled to at least one energy converter provided with a controller; at least one rotating shaft associated to said at least one electrical machine; at least one sensor configured for sensing a signal representative of a time-varying torque of said shaft; a plant control unit comprising in turn: an input interface adapted to receive data from at least one sensor; a monitoring and analysis unit, associated to said input interface and adapted to: analyse said signal in order to detect the presence of a torsional vibration within said plant requiring a control action, and modify the reference values of the controller of said at least one energy converter, in order to reduce said detected vibration; characterized in that: said plant further comprises a torsional mode damper configured to store and release energy provided with a torsional mode damping controller; and in that said monitoring and analysis unit is further associated to the torsional mode damping controller and is further adapted to provide feedback control to the torsional mode damping controller in order to reduce said detected torsional vibration; wherein said monitoring and analysis unit is configured to: discriminate the detected torsional vibrations between torsional interactions and torsional resonances; modify the reference values of the controller of said at least one energy converter without providing feedback control to the torsional mode damping controller when torsional interactions are determined; and provide feedback control to the torsional mode damping controller as well as modifying the reference values of the controller of said at least one energy converter when the torsional resonances are determined, to reduce the detected vibration. at least one electrical machine electrically coupled to at least one energy converter provided with a controller; at least one rotating shaft associated to said at least one electrical machine; at least one sensor configured for sensing a signal representative of a time-varying torque of said shaft; a plant control unit comprising in turn: an input interface adapted to receive data from at least one sensor; a monitoring and analysis unit, associated to said input interface and adapted to: analyse said signal in order to detect the presence of a torsional vibration within said plant requiring a control action, and modify the reference values of the controller of said at least one energy converter, in order to reduce said detected vibration; an input interface adapted to receive data from at least one sensor; a monitoring and analysis unit, associated to said input interface and adapted to: analyse said signal in order to detect the presence of a torsional vibration within said plant requiring a control action, and modify the reference values of the controller of said at least one energy converter, in order to reduce said detected vibration; analyse said signal in order to detect the presence of a torsional vibration within said plant requiring a control action, and modify the reference values of the controller of said at least one energy converter, in order to reduce said detected vibration; characterized in that: said plant further comprises a torsional mode damper configured to store and release energy provided with a torsional mode damping controller; and in that said monitoring and analysis unit is further associated to the torsional mode damping controller and is further adapted to provide feedback control to the torsional mode damping controller in order to reduce said detected torsional vibration; wherein said monitoring and analysis unit is configured to: discriminate the detected torsional vibrations between torsional interactions and torsional resonances; modify the reference values of the controller of said at least one energy converter without providing feedback control to the torsional mode damping controller when torsional interactions are determined; and provide feedback control to the torsional mode damping controller as well as modifying the reference values of the controller of said at least one energy converter when the torsional resonances are determined, to reduce the detected vibration. discriminate the detected torsional vibrations between torsional interactions and torsional resonances; modify the reference values of the controller of said at least one energy converter without providing feedback control to the torsional mode damping controller when torsional interactions are determined; and provide feedback control to the torsional mode damping controller as well as modifying the reference values of the controller of said at least one energy converter when the torsional resonances are determined, to reduce the detected vibration.