The Frequency Responses and Jump-Resonance Phenomena of Nonlinear Feedback Control Systems

Abstract

A method is presented for analyzing the frequency responses and jump-resonance phenomena of nonlinear feedback control systems of any order. The nonlinearities treated in this paper are those whose outputs are single-valued odd functins of the inputs and are independent of frequencies of the inputs. The general conditions under which jump-resonance occurs are given and the system with saturation nonlinearity is analyzed fully as an example. The essential objective is to express the contours on the complex plane for the constant values of system variables, e.g., input amplitude, amplitude ratio, and phase shift.