Application of Kitamori's method to stage positioning control using open loop transfer function

Shinji Wakui, Masashi Hoshino, Kan Akatsu

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The precise positioning stage is ordinary mounted on the vibration isolated table. For its stage, PID compensator is commonly implemented in the control loop and its parameter tuning is carried out through trial and error in the production field. This tuning easily introduces the tradeoff between the command and disturbance responses. Then, we have previously proposed the tuning formulas based on Kitamori's method. However, this calculating process was quite complex. In order to simplify the calculating process, this paper proposes that Kitamori's method should be applied using the open loop transfer function instead of the closed loop one. Firstly, the open loop transfer function of Kitamori's model is derived and the control strategy is clarified through the open loop frequency response. Secondary, the gain and phase margins are derived from Kitamori's open loop model. Finally, the denominator series expression is easily calculated by using the open loop transfer function and the same PID parameters that are derived from the closed transfer function can be quickly calculated.

Original languageEnglish
Pages (from-to)2235-2242
Number of pages8
JournalNippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume70
Issue number8
Publication statusPublished - 2004 Aug
Externally publishedYes

Fingerprint

Transfer functions
Tuning
Frequency response

Keywords

  • Closed Loop
  • Kitamori's Method
  • Open Loop
  • PID
  • Positioning

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

@article{383b796be3c142beb6da17a477d721ea,
title = "Application of Kitamori's method to stage positioning control using open loop transfer function",
abstract = "The precise positioning stage is ordinary mounted on the vibration isolated table. For its stage, PID compensator is commonly implemented in the control loop and its parameter tuning is carried out through trial and error in the production field. This tuning easily introduces the tradeoff between the command and disturbance responses. Then, we have previously proposed the tuning formulas based on Kitamori's method. However, this calculating process was quite complex. In order to simplify the calculating process, this paper proposes that Kitamori's method should be applied using the open loop transfer function instead of the closed loop one. Firstly, the open loop transfer function of Kitamori's model is derived and the control strategy is clarified through the open loop frequency response. Secondary, the gain and phase margins are derived from Kitamori's open loop model. Finally, the denominator series expression is easily calculated by using the open loop transfer function and the same PID parameters that are derived from the closed transfer function can be quickly calculated.",
keywords = "Closed Loop, Kitamori's Method, Open Loop, PID, Positioning",
author = "Shinji Wakui and Masashi Hoshino and Kan Akatsu",
year = "2004",
month = "8",
language = "English",
volume = "70",
pages = "2235--2242",
journal = "Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C",
issn = "0387-5024",
publisher = "Japan Society of Mechanical Engineers",
number = "8",

}

TY - JOUR

T1 - Application of Kitamori's method to stage positioning control using open loop transfer function

AU - Wakui, Shinji

AU - Hoshino, Masashi

AU - Akatsu, Kan

PY - 2004/8

Y1 - 2004/8

N2 - The precise positioning stage is ordinary mounted on the vibration isolated table. For its stage, PID compensator is commonly implemented in the control loop and its parameter tuning is carried out through trial and error in the production field. This tuning easily introduces the tradeoff between the command and disturbance responses. Then, we have previously proposed the tuning formulas based on Kitamori's method. However, this calculating process was quite complex. In order to simplify the calculating process, this paper proposes that Kitamori's method should be applied using the open loop transfer function instead of the closed loop one. Firstly, the open loop transfer function of Kitamori's model is derived and the control strategy is clarified through the open loop frequency response. Secondary, the gain and phase margins are derived from Kitamori's open loop model. Finally, the denominator series expression is easily calculated by using the open loop transfer function and the same PID parameters that are derived from the closed transfer function can be quickly calculated.

AB - The precise positioning stage is ordinary mounted on the vibration isolated table. For its stage, PID compensator is commonly implemented in the control loop and its parameter tuning is carried out through trial and error in the production field. This tuning easily introduces the tradeoff between the command and disturbance responses. Then, we have previously proposed the tuning formulas based on Kitamori's method. However, this calculating process was quite complex. In order to simplify the calculating process, this paper proposes that Kitamori's method should be applied using the open loop transfer function instead of the closed loop one. Firstly, the open loop transfer function of Kitamori's model is derived and the control strategy is clarified through the open loop frequency response. Secondary, the gain and phase margins are derived from Kitamori's open loop model. Finally, the denominator series expression is easily calculated by using the open loop transfer function and the same PID parameters that are derived from the closed transfer function can be quickly calculated.

KW - Closed Loop

KW - Kitamori's Method

KW - Open Loop

KW - PID

KW - Positioning

UR - http://www.scopus.com/inward/record.url?scp=8344221233&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=8344221233&partnerID=8YFLogxK

M3 - Article

VL - 70

SP - 2235

EP - 2242

JO - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

JF - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

SN - 0387-5024

IS - 8

ER -