Study of the dynamics of the object control system of second order with respect to the placements of the real poles

The paper explored study of the dynamics of the control system with the controller designed by the proposed method of parametric synthesis of PID controller for second order objects. As a theoretical basis for the methodology used modal method for linear systems taking into account the location of the actual poles. The numerical example of application of the methodology. The dependences of the transient response in the implementation methodology with variation of values a valid set of poles.