Statistical Evaluation of Response of Non-Linear Servosystems to a Sinusoidal Signal and a Gaussian Disturbance

Abstract

In this paper, a linearization approach for automatic control systems with a non-linear element of zero-memory characteristic under a sinusoidal input and a Gaussian disturbance is described. The response of the system to these inputs is too complicated to be analyzed precisely. However, if the equivalent gains of non-linear elements are evaluated for various values of parameters, the calculation of the response will readily be performed by means of graphical and numerical methods, and the effect of the non-linearities on the system performance will be found. As a typical example for the application of general description, the statistical evaluation of the error signal in a non-linear servosystem containing a saturated element with dead band under a sinusoidal input and a Gaussian disturbance is treated by a graphical method.