A Study of Noise Effect in Feedback Control with White Noise Analysis

Abstract

In proportional-integral-derivative (PID) control, it is well known that the selection of a method to deal with noise is an important issue and various methods have been proposed. However, similar methods to determine the response to noise have not been studied in probability theory. In this paper, a new method called “weak form” is proposed and a probabilistic analysis of filtered derivatives is performed using this method. The method discussed in this paper is considered effective when it is not a feedback control.