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Minimum-Order System Identification by Subspace Method and Frequency-Domain Least-Squares Approximation for Vibration Isolation Tables

[+] Author Affiliations
Yohei Hoshino, Yukinori Kobayashi

Hokkaido University, Sapporo, Hokkaido, Japan

Hiroshi Chinda, Masaki Takahashi

Fujikura Composites Inc., Saitama, Saitama, Japan

Paper No. IMECE2010-40250, pp. 199-208; 10 pages
  • ASME 2010 International Mechanical Engineering Congress and Exposition
  • Volume 8: Dynamic Systems and Control, Parts A and B
  • Vancouver, British Columbia, Canada, November 12–18, 2010
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4445-8
  • Copyright © 2010 by ASME


A system identification technique to obtain the minimum-order model 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 3DOF mathematical model of the vibration isolation table is constructed. The regulator for the pneumatic actuator is driven by a stepping motor. Proposed procedure is described as follows: First, the state space model is identified from input-output data by subspace method. Next, the low-order curve fitted 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. Availability and usefulness of this approach is illustrated by experiments.

Copyright © 2010 by ASME



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