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
DOIs
Publication statusPublished - 2009 Jan
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

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

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