System identification of minimum order-model for vibration isolation table by subspace method and frequency-domain least squares approximation

Yohei Hoshino, Yukinori Kobayashi, Tetsunobu Morita, Hiroshi Chinda, Masaki Takahashi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A system identification technique for a vibration isolation table is studied in this paper. The vibration isolation table is supported by four pneumatic actuators at corners of the square rigid table. A 3 DOF mathematical model of the vibration isolation table is constructed. The regulator for the pneumatic actuator is driven by a stepping motor. Proposed procedure to obtain the minimum-order-model is described as follows : First, the state space model is identified from input-output data by subspace method. Next, the low order curve fitting model is calculated by Frequency-Domain Least-Squares Approximation (FDLSA). And then, the characteristic eigenvalues near the eigenvalues of FDLSA model is picked out from the N4SID model, and the minimum order system that has the characteristic eigenvalues of N4SID model is reconstructed. And the procedure can be fully automated. Effectiveness of this approach is examined by experiments.

Original languageEnglish
Pages (from-to)42-49
Number of pages8
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume75
Issue number749
Publication statusPublished - 2009 Jan
Externally publishedYes

Fingerprint

Least squares approximations
Identification (control systems)
Pneumatic actuators
Stepping motors
Curve fitting
Mathematical models

Keywords

  • Frequency-domain least-squares approximation
  • Identification
  • Model reduction
  • Pneumatic actuator
  • Subspace methods
  • Vibration control
  • Vibration isolation

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Industrial and Manufacturing Engineering

Cite this

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title = "System identification of minimum order-model for vibration isolation table by subspace method and frequency-domain least squares approximation",
abstract = "A system identification technique for a vibration isolation table is studied in this paper. The vibration isolation table is supported by four pneumatic actuators at corners of the square rigid table. A 3 DOF mathematical model of the vibration isolation table is constructed. The regulator for the pneumatic actuator is driven by a stepping motor. Proposed procedure to obtain the minimum-order-model is described as follows : First, the state space model is identified from input-output data by subspace method. Next, the low order curve fitting model is calculated by Frequency-Domain Least-Squares Approximation (FDLSA). And then, the characteristic eigenvalues near the eigenvalues of FDLSA model is picked out from the N4SID model, and the minimum order system that has the characteristic eigenvalues of N4SID model is reconstructed. And the procedure can be fully automated. Effectiveness of this approach is examined by experiments.",
keywords = "Frequency-domain least-squares approximation, Identification, Model reduction, Pneumatic actuator, Subspace methods, Vibration control, Vibration isolation",
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AU - Hoshino, Yohei

AU - Kobayashi, Yukinori

AU - Morita, Tetsunobu

AU - Chinda, Hiroshi

AU - Takahashi, Masaki

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N2 - A system identification technique for a vibration isolation table is studied in this paper. The vibration isolation table is supported by four pneumatic actuators at corners of the square rigid table. A 3 DOF mathematical model of the vibration isolation table is constructed. The regulator for the pneumatic actuator is driven by a stepping motor. Proposed procedure to obtain the minimum-order-model is described as follows : First, the state space model is identified from input-output data by subspace method. Next, the low order curve fitting model is calculated by Frequency-Domain Least-Squares Approximation (FDLSA). And then, the characteristic eigenvalues near the eigenvalues of FDLSA model is picked out from the N4SID model, and the minimum order system that has the characteristic eigenvalues of N4SID model is reconstructed. And the procedure can be fully automated. Effectiveness of this approach is examined by experiments.

AB - A system identification technique for a vibration isolation table is studied in this paper. The vibration isolation table is supported by four pneumatic actuators at corners of the square rigid table. A 3 DOF mathematical model of the vibration isolation table is constructed. The regulator for the pneumatic actuator is driven by a stepping motor. Proposed procedure to obtain the minimum-order-model is described as follows : First, the state space model is identified from input-output data by subspace method. Next, the low order curve fitting model is calculated by Frequency-Domain Least-Squares Approximation (FDLSA). And then, the characteristic eigenvalues near the eigenvalues of FDLSA model is picked out from the N4SID model, and the minimum order system that has the characteristic eigenvalues of N4SID model is reconstructed. And the procedure can be fully automated. Effectiveness of this approach is examined by experiments.

KW - Frequency-domain least-squares approximation

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KW - Model reduction

KW - Pneumatic actuator

KW - Subspace methods

KW - Vibration control

KW - Vibration isolation

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