Fluctuation effect on extremum relay systems with self-oscillating regime

Extremum relay systems with self-oscillating regime are investigated in the case of fluctuation action at the controller input.
There is proposed the method of statistic linearization of such systems based on reducing an outer random action to a parametric action on the controller that makes it possible, in accordance with the describing function method, to obtain the expression for an equivalent amplification coefficient in the form of the step random time function. The average value of this function is taken as a statistically equivalent transfer coefficient of the nonlinear element.
The method is also applicable to the usual nonlinear self-oscillating systems.