Abstract
Is considered a polynomial method of synthesis of linear single-channel stationary objects.Provides an illustration of calculations for two examples. The first example is the synthesis of the PI regulator for minimum phase unstable is not the object of the second order, which corresponds to the reduced-order controllers. The synthesis is carried out using the Hurwitz criterion by plotting the stability domain in the parameter plane of the regulator. The peculiarity of the transient process of the system is oscillatory in nature with a large first negative emission. And the second example is a calculation of the full order controller is a modified PID controller for unstable nonminimal - phase object. The peculiarity of the calculation of this example is that the object of the second order is sufficient to take the knob of the first order. But to ensure the astatic need free term of the polynomial denominator of the transfer function of the regulator is taken to be zero, which leads to the necessity of selection of regulator of second order. The transition process of the system is of oscillatory nature with a small negative overshoot, followed by positive and negative emissions. From a technical point of view, the system with the PID regulator has a more satisfactory appearance.

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