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Language: korean

Conflict of Interest: In relation to this article, we declare that there is no conflict of interest.

Publication history: Received May 1, 2008
Accepted June 22, 2008

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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노이즈가 있는 계단응답으로부터 일차시간지연모델 확인에 관한 연구

A Study on the First Order Plus Time Delay Model Identification from Noisy Step Responses

주승민 김성진 변정욱 전대웅 성수환 이지태^†

Seungmin Ju Sung Jin Kim Jeonguk Byeon Daewoong Chun Su Whan Sung Jietae Lee^†

경북대학교 화학공학과, 702-701 대구시 북구 산격동 1370

Department of Chemical Engineering, Kyungpook National University, Daegu 702-701, Korea

jtlee@knu.ac.kr

Korean Chemical Engineering Research, October 2008, 46(5), 949-957(9), NONE Epub 10 November 2008

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Abstract

공정의 계단응답으로부터 일차시간지연모델을 구하고, 이로부터 PID(Proportional- Integral-Derivative) 제어기를 설계하는 방법은 공정제어 분야에서 널리 사용되는 오랜 것이다. 이를 위한 간단한 그래프에 근거한 방법에서 복잡한 수치적 최소자승법에 근거한 방법까지 다양한 방법들이 제안되어 있는데, 노이즈가 섞여 있는 계단응답에 대응하는 간단한 방법들은 의외로 잘 알려져 있지 못하다. 최근 계단응답 신호의 적분을 이용하는 방법들이 제안되어 있는데 이들을 비교 검토하여 실용적인 방법을 찾고자 한다. 계단응답의 적분 신호는 현 제어 계기에서 쉽게 얻어진다.

Estimating the first order plus time delay model on the basis of the step responses has been widely used in industry for the tuning of PID controllers. Even though various model identification methods from simple graphical approaches to complicated approaches based on least squares method have been proposed, simple approaches to incorporate noisy step responses are rarely available. In this research, we will compare and analyze recent approaches using the integrals of the step responses and develop an improved identification method to incorporate real situations more effectively.

Keywords

Step Response Noise FOPTD Model Identification Integral

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