A finite element based method for identification of switched linear systems

Mohammad Gorji Sefidmazgi; Mina Moradi Kordmahalleh; Abdollah Homaifar; Ali Karimoddini

doi:10.1109/ACC.2014.6858898

A finite element based method for identification of switched linear systems

Mohammad Gorji Sefidmazgi, Mina Moradi Kordmahalleh, Abdollah Homaifar, Ali Karimoddini

Industrial and systems engineering with North Carolina A&T State University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Non-stationary time series analysis is important in the study of complex systems. Finding mathematical models for such complex systems with transitions between different phases is an ill-posed problem. This paper brings the problem of time series analysis into the context of hybrid modeling. Approximating the hybrid system by a switched linear system, the problem is reduced to identifying the switching times and model parameters. To address this problem, the non-stationary time series clustering technique based on Finite Elements is used for modeling of switched linear systems. The advantage of this method is that it is not necessary to add restrictive statistical assumptions on system variables. Illustrative examples have been provided to verify the proposed algorithm.

Original language	English
Title of host publication	2014 American Control Conference, ACC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2644-2649
Number of pages	6
ISBN (Print)	9781479932726
DOIs	https://doi.org/10.1109/ACC.2014.6858898
State	Published - 2014
Externally published	Yes
Event	2014 American Control Conference, ACC 2014 - Portland, OR, United States Duration: Jun 4 2014 → Jun 6 2014

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Conference

Conference	2014 American Control Conference, ACC 2014
Country/Territory	United States
City	Portland, OR
Period	06/4/14 → 06/6/14

Keywords

Computational methods
Modeling and simulation
Switched systems

Access to Document

10.1109/ACC.2014.6858898

Cite this

Gorji Sefidmazgi, M., Moradi Kordmahalleh, M., Homaifar, A., & Karimoddini, A. (2014). A finite element based method for identification of switched linear systems. In 2014 American Control Conference, ACC 2014 (pp. 2644-2649). Article 6858898 (Proceedings of the American Control Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACC.2014.6858898

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title = "A finite element based method for identification of switched linear systems",

abstract = "Non-stationary time series analysis is important in the study of complex systems. Finding mathematical models for such complex systems with transitions between different phases is an ill-posed problem. This paper brings the problem of time series analysis into the context of hybrid modeling. Approximating the hybrid system by a switched linear system, the problem is reduced to identifying the switching times and model parameters. To address this problem, the non-stationary time series clustering technique based on Finite Elements is used for modeling of switched linear systems. The advantage of this method is that it is not necessary to add restrictive statistical assumptions on system variables. Illustrative examples have been provided to verify the proposed algorithm.",

keywords = "Computational methods, Modeling and simulation, Switched systems",

author = "\{Gorji Sefidmazgi\}, Mohammad and \{Moradi Kordmahalleh\}, Mina and Abdollah Homaifar and Ali Karimoddini",

year = "2014",

doi = "10.1109/ACC.2014.6858898",

language = "English",

isbn = "9781479932726",

series = "Proceedings of the American Control Conference",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "2644--2649",

booktitle = "2014 American Control Conference, ACC 2014",

note = "2014 American Control Conference, ACC 2014 ; Conference date: 04-06-2014 Through 06-06-2014",

}

Gorji Sefidmazgi, M, Moradi Kordmahalleh, M, Homaifar, A & Karimoddini, A 2014, A finite element based method for identification of switched linear systems. in 2014 American Control Conference, ACC 2014., 6858898, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 2644-2649, 2014 American Control Conference, ACC 2014, Portland, OR, United States, 06/4/14. https://doi.org/10.1109/ACC.2014.6858898

A finite element based method for identification of switched linear systems. / Gorji Sefidmazgi, Mohammad; Moradi Kordmahalleh, Mina; Homaifar, Abdollah et al.
2014 American Control Conference, ACC 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 2644-2649 6858898 (Proceedings of the American Control Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A finite element based method for identification of switched linear systems

AU - Gorji Sefidmazgi, Mohammad

AU - Moradi Kordmahalleh, Mina

AU - Homaifar, Abdollah

AU - Karimoddini, Ali

PY - 2014

Y1 - 2014

N2 - Non-stationary time series analysis is important in the study of complex systems. Finding mathematical models for such complex systems with transitions between different phases is an ill-posed problem. This paper brings the problem of time series analysis into the context of hybrid modeling. Approximating the hybrid system by a switched linear system, the problem is reduced to identifying the switching times and model parameters. To address this problem, the non-stationary time series clustering technique based on Finite Elements is used for modeling of switched linear systems. The advantage of this method is that it is not necessary to add restrictive statistical assumptions on system variables. Illustrative examples have been provided to verify the proposed algorithm.

AB - Non-stationary time series analysis is important in the study of complex systems. Finding mathematical models for such complex systems with transitions between different phases is an ill-posed problem. This paper brings the problem of time series analysis into the context of hybrid modeling. Approximating the hybrid system by a switched linear system, the problem is reduced to identifying the switching times and model parameters. To address this problem, the non-stationary time series clustering technique based on Finite Elements is used for modeling of switched linear systems. The advantage of this method is that it is not necessary to add restrictive statistical assumptions on system variables. Illustrative examples have been provided to verify the proposed algorithm.

KW - Computational methods

KW - Modeling and simulation

KW - Switched systems

UR - https://www.scopus.com/pages/publications/84905715089

U2 - 10.1109/ACC.2014.6858898

DO - 10.1109/ACC.2014.6858898

M3 - Conference contribution

SN - 9781479932726

T3 - Proceedings of the American Control Conference

SP - 2644

EP - 2649

BT - 2014 American Control Conference, ACC 2014

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2014 American Control Conference, ACC 2014

Y2 - 4 June 2014 through 6 June 2014

ER -

A finite element based method for identification of switched linear systems

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Keywords

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