Korean Chemical Engineering Research

The Korean Institute of Chemical Engineers (한국화학공학회)
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A Study on the First Order Plus Time Delay Model Identification from Noisy Step Responses

노이즈가 있는 계단응답으로부터 일차시간지연모델 확인에 관한 연구

  • Ju, Seungmin (Department of Chemical Engineering, Kyungpook National University) ;
  • Kim, Sung Jin (Department of Chemical Engineering, Kyungpook National University) ;
  • Byeon, Jeonguk (Department of Chemical Engineering, Kyungpook National University) ;
  • Chun, Daewoong (Department of Chemical Engineering, Kyungpook National University) ;
  • Sung, Su Whan (Department of Chemical Engineering, Kyungpook National University) ;
  • Lee, Jietae (Department of Chemical Engineering, Kyungpook National University)
  • 주승민 (경북대학교 화학공학과) ;
  • 김성진 (경북대학교 화학공학과) ;
  • 변정욱 (경북대학교 화학공학과) ;
  • 전대웅 (경북대학교 화학공학과) ;
  • 성수환 (경북대학교 화학공학과) ;
  • 이지태 (경북대학교 화학공학과)
  • Received : 2008.05.01
  • Accepted : 2008.06.22
  • Published : 2008.10.31
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Abstract

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.

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.

Keywords

Acknowledgement

Supported by : 경북대학교

References

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