### 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 language | English |
---|---|

Pages (from-to) | 42-49 |

Number of pages | 8 |

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

Volume | 75 |

Issue number | 749 |

Publication status | Published - 2009 Jan |

Externally published | Yes |

### Fingerprint

### 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

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

*75*(749), 42-49.

**System identification of minimum order-model for vibration isolation table by subspace method and frequency-domain least squares approximation.** / Hoshino, Yohei; Kobayashi, Yukinori; Morita, Tetsunobu; Chinda, Hiroshi; Takahashi, Masaki.

Research output: Contribution to journal › Article

*Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C*, vol. 75, no. 749, pp. 42-49.

}

TY - JOUR

T1 - System identification of minimum order-model for vibration isolation table by subspace method and frequency-domain least squares approximation

AU - Hoshino, Yohei

AU - Kobayashi, Yukinori

AU - Morita, Tetsunobu

AU - Chinda, Hiroshi

AU - Takahashi, Masaki

PY - 2009/1

Y1 - 2009/1

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

KW - Identification

KW - Model reduction

KW - Pneumatic actuator

KW - Subspace methods

KW - Vibration control

KW - Vibration isolation

UR - http://www.scopus.com/inward/record.url?scp=63849260739&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=63849260739&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:63849260739

VL - 75

SP - 42

EP - 49

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 - 749

ER -