### Abstract

A crucial step in the control of a weakly damped high precision motion system is having an accurate dynamic model of the system from actuators to sensors and to the unmeasured performance variables. A (reduced) Finite Element (FE) model may be a good candidate apart from the fact that it often does not sufficiently match with the real system especially when it comes to machine-to-machine variation. To improve the dynamic properties of the FE model toward the dynamic properties of a specific machine, an Iterative Pole–Zero (IPZ) model updating procedure is used that updates numerical poles and zeros of Frequency Response Functions (FRFs) toward measured poles and zeros, which can be extracted from the measured FRFs. It is assumed that in a practical situation, the model (physical) parameters that cause discrepancy with the real structure are unknown. Therefore, the updating parameters will be the eigenvalues of the stiffness and/or damping (sub)matrix. In this paper, an IPZ model updating is introduced which combines the sensitivity functions of both poles and zeros (with respect to the corresponding updating parameters) together with the cross sensitivity functions between poles and zeros. The procedure is verified first using simulated experiments of a pinned-sliding beam structure and then using non-collocated FRF measurement results from a cantilever beam setup.

Original language | English |
---|---|

Pages (from-to) | 164-174 |

Number of pages | 11 |

Journal | Control Engineering Practice |

Volume | 71 |

DOIs | |

Publication status | Published - 1 Feb 2018 |

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### Keywords

- Combined sensitivity
- FE model
- Generic parameters
- Model updating
- Pole
- Unmeasured performance variable
- Weakly damped systems
- Zero

### Cite this

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**Iterative Pole–Zero model updating : A combined sensitivity approach.** / Dorosti, M.; Fey, R.H.B.; Heertjes, M. F.; Nijmeijer, H.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

T1 - Iterative Pole–Zero model updating

T2 - A combined sensitivity approach

AU - Dorosti, M.

AU - Fey, R.H.B.

AU - Heertjes, M. F.

AU - Nijmeijer, H.

PY - 2018/2/1

Y1 - 2018/2/1

N2 - A crucial step in the control of a weakly damped high precision motion system is having an accurate dynamic model of the system from actuators to sensors and to the unmeasured performance variables. A (reduced) Finite Element (FE) model may be a good candidate apart from the fact that it often does not sufficiently match with the real system especially when it comes to machine-to-machine variation. To improve the dynamic properties of the FE model toward the dynamic properties of a specific machine, an Iterative Pole–Zero (IPZ) model updating procedure is used that updates numerical poles and zeros of Frequency Response Functions (FRFs) toward measured poles and zeros, which can be extracted from the measured FRFs. It is assumed that in a practical situation, the model (physical) parameters that cause discrepancy with the real structure are unknown. Therefore, the updating parameters will be the eigenvalues of the stiffness and/or damping (sub)matrix. In this paper, an IPZ model updating is introduced which combines the sensitivity functions of both poles and zeros (with respect to the corresponding updating parameters) together with the cross sensitivity functions between poles and zeros. The procedure is verified first using simulated experiments of a pinned-sliding beam structure and then using non-collocated FRF measurement results from a cantilever beam setup.

AB - A crucial step in the control of a weakly damped high precision motion system is having an accurate dynamic model of the system from actuators to sensors and to the unmeasured performance variables. A (reduced) Finite Element (FE) model may be a good candidate apart from the fact that it often does not sufficiently match with the real system especially when it comes to machine-to-machine variation. To improve the dynamic properties of the FE model toward the dynamic properties of a specific machine, an Iterative Pole–Zero (IPZ) model updating procedure is used that updates numerical poles and zeros of Frequency Response Functions (FRFs) toward measured poles and zeros, which can be extracted from the measured FRFs. It is assumed that in a practical situation, the model (physical) parameters that cause discrepancy with the real structure are unknown. Therefore, the updating parameters will be the eigenvalues of the stiffness and/or damping (sub)matrix. In this paper, an IPZ model updating is introduced which combines the sensitivity functions of both poles and zeros (with respect to the corresponding updating parameters) together with the cross sensitivity functions between poles and zeros. The procedure is verified first using simulated experiments of a pinned-sliding beam structure and then using non-collocated FRF measurement results from a cantilever beam setup.

KW - Combined sensitivity

KW - FE model

KW - Generic parameters

KW - Model updating

KW - Pole

KW - Unmeasured performance variable

KW - Weakly damped systems

KW - Zero

UR - http://www.scopus.com/inward/record.url?scp=85037530196&partnerID=8YFLogxK

U2 - 10.1016/j.conengprac.2017.11.002

DO - 10.1016/j.conengprac.2017.11.002

M3 - Article

AN - SCOPUS:85037530196

VL - 71

SP - 164

EP - 174

JO - Control Engineering Practice

JF - Control Engineering Practice

SN - 0967-0661

ER -