Some Numerical Methods for Analysis of Transient Responses of Nonlinear Control System

Abstract

This paper deals with some numerical methods for the analysis of transient responses of a nonlinear control system and their computational errors, as shown in Fig. 1. Three types of mothods are proposed, which will be called the “zero-, the “first- and the “second-order data hold” types. They are all based on the same principle of replacing the output of the nonlinear element by another time function convenient to analyze. Excepting the second-order data hold type, each type consists of two alternative methods: one is useful when the indicial response of G(s) is obtained only experimentally ; the other can be used when G(s) is obtained in an analytic form.