Minimum-order system identification by subspace method and frequency-domain least-squares approximation for vibration isolation tables

Yohei Hoshino, Yukinori Kobayashi, Hiroshi Chinda, Masaki Takahashi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

A system identification technique to obtain the minimumorder 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.

Original languageEnglish
Title of host publicationASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
Pages199-208
Number of pages10
Volume8
EditionPARTS A AND B
DOIs
Publication statusPublished - 2010
Externally publishedYes
EventASME 2010 International Mechanical Engineering Congress and Exposition, IMECE 2010 - Vancouver, BC, Canada
Duration: 2010 Nov 122010 Nov 18

Other

OtherASME 2010 International Mechanical Engineering Congress and Exposition, IMECE 2010
CountryCanada
CityVancouver, BC
Period10/11/1210/11/18

Fingerprint

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

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Hoshino, Y., Kobayashi, Y., Chinda, H., & Takahashi, M. (2010). Minimum-order system identification by subspace method and frequency-domain least-squares approximation for vibration isolation tables. In ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE) (PARTS A AND B ed., Vol. 8, pp. 199-208) https://doi.org/10.1115/IMECE2010-40250

Minimum-order system identification by subspace method and frequency-domain least-squares approximation for vibration isolation tables. / Hoshino, Yohei; Kobayashi, Yukinori; Chinda, Hiroshi; Takahashi, Masaki.

ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE). Vol. 8 PARTS A AND B. ed. 2010. p. 199-208.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Hoshino, Y, Kobayashi, Y, Chinda, H & Takahashi, M 2010, Minimum-order system identification by subspace method and frequency-domain least-squares approximation for vibration isolation tables. in ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE). PARTS A AND B edn, vol. 8, pp. 199-208, ASME 2010 International Mechanical Engineering Congress and Exposition, IMECE 2010, Vancouver, BC, Canada, 10/11/12. https://doi.org/10.1115/IMECE2010-40250
Hoshino Y, Kobayashi Y, Chinda H, Takahashi M. Minimum-order system identification by subspace method and frequency-domain least-squares approximation for vibration isolation tables. In ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE). PARTS A AND B ed. Vol. 8. 2010. p. 199-208 https://doi.org/10.1115/IMECE2010-40250
Hoshino, Yohei ; Kobayashi, Yukinori ; Chinda, Hiroshi ; Takahashi, Masaki. / Minimum-order system identification by subspace method and frequency-domain least-squares approximation for vibration isolation tables. ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE). Vol. 8 PARTS A AND B. ed. 2010. pp. 199-208
@inproceedings{56edc1f4b45e4181889add1feac104ed,
title = "Minimum-order system identification by subspace method and frequency-domain least-squares approximation for vibration isolation tables",
abstract = "A system identification technique to obtain the minimumorder 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.",
author = "Yohei Hoshino and Yukinori Kobayashi and Hiroshi Chinda and Masaki Takahashi",
year = "2010",
doi = "10.1115/IMECE2010-40250",
language = "English",
isbn = "9780791844458",
volume = "8",
pages = "199--208",
booktitle = "ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)",
edition = "PARTS A AND B",

}

TY - GEN

T1 - Minimum-order system identification by subspace method and frequency-domain least-squares approximation for vibration isolation tables

AU - Hoshino, Yohei

AU - Kobayashi, Yukinori

AU - Chinda, Hiroshi

AU - Takahashi, Masaki

PY - 2010

Y1 - 2010

N2 - A system identification technique to obtain the minimumorder 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.

AB - A system identification technique to obtain the minimumorder 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.

UR - http://www.scopus.com/inward/record.url?scp=84881466035&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84881466035&partnerID=8YFLogxK

U2 - 10.1115/IMECE2010-40250

DO - 10.1115/IMECE2010-40250

M3 - Conference contribution

SN - 9780791844458

VL - 8

SP - 199

EP - 208

BT - ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)

ER -