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Non-statistical based robust identification of a lightly damped flexible beam using Kautz Orthonormal basis functions

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Non-statistical based robust identification of a lightly damped flexible beam using Kautz Orthonormal basis functions. / Esmaeilsabzali, Hadi; Montazeri, Allahyar; Poshtan, Javad; Jahedmotlagh, Mohammadreza.

In: Low Frequency Noise, Vibration and Active Control, Vol. 27, No. 3, 09.2008, p. 203-217.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Esmaeilsabzali, H, Montazeri, A, Poshtan, J & Jahedmotlagh, M 2008, 'Non-statistical based robust identification of a lightly damped flexible beam using Kautz Orthonormal basis functions', Low Frequency Noise, Vibration and Active Control, vol. 27, no. 3, pp. 203-217. https://doi.org/10.1260/026309208785844112

APA

Esmaeilsabzali, H., Montazeri, A., Poshtan, J., & Jahedmotlagh, M. (2008). Non-statistical based robust identification of a lightly damped flexible beam using Kautz Orthonormal basis functions. Low Frequency Noise, Vibration and Active Control, 27(3), 203-217. https://doi.org/10.1260/026309208785844112

Vancouver

Esmaeilsabzali H, Montazeri A, Poshtan J, Jahedmotlagh M. Non-statistical based robust identification of a lightly damped flexible beam using Kautz Orthonormal basis functions. Low Frequency Noise, Vibration and Active Control. 2008 Sep;27(3):203-217. https://doi.org/10.1260/026309208785844112

Author

Esmaeilsabzali, Hadi ; Montazeri, Allahyar ; Poshtan, Javad ; Jahedmotlagh, Mohammadreza. / Non-statistical based robust identification of a lightly damped flexible beam using Kautz Orthonormal basis functions. In: Low Frequency Noise, Vibration and Active Control. 2008 ; Vol. 27, No. 3. pp. 203-217.

Bibtex

@article{86d21d1c5b9c48ae9f54fa6028abf0a8,
title = "Non-statistical based robust identification of a lightly damped flexible beam using Kautz Orthonormal basis functions",
abstract = "Robust identification of a lightly damped flexible beam with parametric and non-parametric uncertainties is presented; however, the main concern is about non-parametric uncertainties which are high-frequency high-amplitude unmodeled dynamics. Our approach is based on worst-case estimation theory in which uncertainties are assumed to be unknown but bounded and produces so-called hard bounds on model errors. Based on this theory, two methods named {"}Set Member-sip{"} and {"}Model Error Modeling{"} has been applied. We have also examined two outbounding algorithms (ellipsoidal and parallelotopic) to solve the Set Membership identification problem. In order to properly deal with high-amplitude non-parametric uncertainties, the proposed methods are compared. It is shown that the combination of Set Membership approach with Model Error Modeling technique will result in superior identification in that it can better handle high-frequency high-amplitude non-parametric uncertainties. For each method the mode obtained and its associated uncertainty bound is mapped to the frequency plane so that it can be utilised by robust controller design methods such as H infinity.",
keywords = "SYSTEM-IDENTIFICATION, Vibration Control, Set Membership, Flexible Structures, Model Error Modeling, Identification",
author = "Hadi Esmaeilsabzali and Allahyar Montazeri and Javad Poshtan and Mohammadreza Jahedmotlagh",
year = "2008",
month = sep,
doi = "10.1260/026309208785844112",
language = "English",
volume = "27",
pages = "203--217",
journal = "Low Frequency Noise, Vibration and Active Control",
issn = "0263-0923",
publisher = "Multi-Science Publishing Co. Ltd",
number = "3",

}

RIS

TY - JOUR

T1 - Non-statistical based robust identification of a lightly damped flexible beam using Kautz Orthonormal basis functions

AU - Esmaeilsabzali, Hadi

AU - Montazeri, Allahyar

AU - Poshtan, Javad

AU - Jahedmotlagh, Mohammadreza

PY - 2008/9

Y1 - 2008/9

N2 - Robust identification of a lightly damped flexible beam with parametric and non-parametric uncertainties is presented; however, the main concern is about non-parametric uncertainties which are high-frequency high-amplitude unmodeled dynamics. Our approach is based on worst-case estimation theory in which uncertainties are assumed to be unknown but bounded and produces so-called hard bounds on model errors. Based on this theory, two methods named "Set Member-sip" and "Model Error Modeling" has been applied. We have also examined two outbounding algorithms (ellipsoidal and parallelotopic) to solve the Set Membership identification problem. In order to properly deal with high-amplitude non-parametric uncertainties, the proposed methods are compared. It is shown that the combination of Set Membership approach with Model Error Modeling technique will result in superior identification in that it can better handle high-frequency high-amplitude non-parametric uncertainties. For each method the mode obtained and its associated uncertainty bound is mapped to the frequency plane so that it can be utilised by robust controller design methods such as H infinity.

AB - Robust identification of a lightly damped flexible beam with parametric and non-parametric uncertainties is presented; however, the main concern is about non-parametric uncertainties which are high-frequency high-amplitude unmodeled dynamics. Our approach is based on worst-case estimation theory in which uncertainties are assumed to be unknown but bounded and produces so-called hard bounds on model errors. Based on this theory, two methods named "Set Member-sip" and "Model Error Modeling" has been applied. We have also examined two outbounding algorithms (ellipsoidal and parallelotopic) to solve the Set Membership identification problem. In order to properly deal with high-amplitude non-parametric uncertainties, the proposed methods are compared. It is shown that the combination of Set Membership approach with Model Error Modeling technique will result in superior identification in that it can better handle high-frequency high-amplitude non-parametric uncertainties. For each method the mode obtained and its associated uncertainty bound is mapped to the frequency plane so that it can be utilised by robust controller design methods such as H infinity.

KW - SYSTEM-IDENTIFICATION

KW - Vibration Control

KW - Set Membership

KW - Flexible Structures

KW - Model Error Modeling

KW - Identification

U2 - 10.1260/026309208785844112

DO - 10.1260/026309208785844112

M3 - Journal article

VL - 27

SP - 203

EP - 217

JO - Low Frequency Noise, Vibration and Active Control

JF - Low Frequency Noise, Vibration and Active Control

SN - 0263-0923

IS - 3

ER -