An Efficient q-Markov Covariance Equivalent Realization Approach to System Identification

Yuling Shen; Muhao Chen; Manoranjan Majji; Robert E. Skelton

doi:10.1016/j.ifacol.2023.10.1554

An Efficient q-Markov Covariance Equivalent Realization Approach to System Identification

Yuling Shen
, Muhao Chen
, Manoranjan Majji
, Robert E. Skelton

Mechanical and Aerospace Engineering

Producción científica: Conference contribution › revisión exhaustiva

2 Citas (Scopus)

Resumen

An efficient q-Markov covariance equivalent realization (QMC) formulation is presented in this paper. This efficient solution matches all Markov and Covariance parameters of a finite-dimensional system using a finite amount of data. The frequency responses of that system is also matched by the efficient QMC solution. The existence condition of this efficient QMC solution and its parametrization is given in this paper. Then, a generalized algorithm for system identification using the efficient QMC is given. The example is set up by a cantilever beam. Results show that the efficient QMC fully captures Markov and covariance parameters and frequency responses of the cantilever beam.

Idioma original	English
Título de la publicación alojada	IFAC-PapersOnLine
Editores	Hideaki Ishii, Yoshio Ebihara, Jun-ichi Imura, Masaki Yamakita
Páginas	108-113
Número de páginas	6
Edición	2
ISBN (versión digital)	9781713872344
DOI	https://doi.org/10.1016/j.ifacol.2023.10.1554
Estado	Published - jul 1 2023
Evento	22nd IFAC World Congress - Yokohama, Japan Duración: jul 9 2023 → jul 14 2023

Serie de la publicación

Nombre	IFAC-PapersOnLine
Número	2
Volumen	56
ISSN (versión digital)	2405-8963

Conference

Conference	22nd IFAC World Congress
País/Territorio	Japan
Ciudad	Yokohama
Período	7/9/23 → 7/14/23

Nota bibliográfica

Publisher Copyright:
Copyright © 2023 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)

ASJC Scopus subject areas

Control and Systems Engineering

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10.1016/j.ifacol.2023.10.1554

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@inproceedings{e1fabcea531f4caa8f13053eb5dcaef3,

title = "An Efficient q-Markov Covariance Equivalent Realization Approach to System Identification",

abstract = "An efficient q-Markov covariance equivalent realization (QMC) formulation is presented in this paper. This efficient solution matches all Markov and Covariance parameters of a finite-dimensional system using a finite amount of data. The frequency responses of that system is also matched by the efficient QMC solution. The existence condition of this efficient QMC solution and its parametrization is given in this paper. Then, a generalized algorithm for system identification using the efficient QMC is given. The example is set up by a cantilever beam. Results show that the efficient QMC fully captures Markov and covariance parameters and frequency responses of the cantilever beam.",

keywords = "Covariance parameters, Markov parameters, Model reduction, QMC, System identification",

author = "Yuling Shen and Muhao Chen and Manoranjan Majji and Skelton, \{Robert E.\}",

note = "Publisher Copyright: Copyright {\textcopyright} 2023 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/); 22nd IFAC World Congress ; Conference date: 09-07-2023 Through 14-07-2023",

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doi = "10.1016/j.ifacol.2023.10.1554",

language = "English",

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TY - GEN

T1 - An Efficient q-Markov Covariance Equivalent Realization Approach to System Identification

AU - Shen, Yuling

AU - Chen, Muhao

AU - Majji, Manoranjan

AU - Skelton, Robert E.

PY - 2023/7/1

Y1 - 2023/7/1

N2 - An efficient q-Markov covariance equivalent realization (QMC) formulation is presented in this paper. This efficient solution matches all Markov and Covariance parameters of a finite-dimensional system using a finite amount of data. The frequency responses of that system is also matched by the efficient QMC solution. The existence condition of this efficient QMC solution and its parametrization is given in this paper. Then, a generalized algorithm for system identification using the efficient QMC is given. The example is set up by a cantilever beam. Results show that the efficient QMC fully captures Markov and covariance parameters and frequency responses of the cantilever beam.

AB - An efficient q-Markov covariance equivalent realization (QMC) formulation is presented in this paper. This efficient solution matches all Markov and Covariance parameters of a finite-dimensional system using a finite amount of data. The frequency responses of that system is also matched by the efficient QMC solution. The existence condition of this efficient QMC solution and its parametrization is given in this paper. Then, a generalized algorithm for system identification using the efficient QMC is given. The example is set up by a cantilever beam. Results show that the efficient QMC fully captures Markov and covariance parameters and frequency responses of the cantilever beam.

KW - Covariance parameters

KW - Markov parameters

KW - Model reduction

KW - QMC

KW - System identification

UR - https://www.scopus.com/pages/publications/85184961646

UR - https://www.scopus.com/pages/publications/85184961646#tab=citedBy

U2 - 10.1016/j.ifacol.2023.10.1554

DO - 10.1016/j.ifacol.2023.10.1554

M3 - Conference contribution

AN - SCOPUS:85184961646

T3 - IFAC-PapersOnLine

SP - 108

EP - 113

BT - IFAC-PapersOnLine

A2 - Ishii, Hideaki

A2 - Ebihara, Yoshio

A2 - Imura, Jun-ichi

A2 - Yamakita, Masaki

T2 - 22nd IFAC World Congress

Y2 - 9 July 2023 through 14 July 2023

ER -

An Efficient q-Markov Covariance Equivalent Realization Approach to System Identification

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