DESCRIBING FUNCTION ANALYSIS FOR NONLINEAR SAMPLED-DATA CONTROL SYSTEMS.

摘要

In this report a generalized approach is used in the development of describing functions for autonomous nonlinear sampled data (NLSD) systems. The principles and assumptions of describing function theory are examined and developed so that they are applicable to the nonlinear sampled data problem. The direct application of Fourier analysis to the signals involved in the system is made possible by location of the nonlinear element in front of the sampler. The basic assumption made is that the error signal entering the nonlinear element is a pure sinusoid.