Approximation of Commensurate Fractional-order systems using Colliding bodies optimization

Chhabindra Nath Singh; Deepak Kumar; Paulson Samuel; Akhilesh Kumar Gupta; Victor Sreeram

doi:10.23919/ASCC56756.2022.9828143

Approximation of Commensurate Fractional-order systems using Colliding bodies optimization

Chhabindra Nath Singh, Deepak Kumar, Paulson Samuel, Akhilesh Kumar Gupta, Victor Sreeram

Electrical, Electronic and Computer Engineering

Research output: Chapter in Book/Conference paper › Conference paper › peer-review

Abstract

This paper presents a model reduction method for commensurate fractional-order systems (CFOS) using colliding bodies optimization algorithm (CBOA). The proposed method converts the original CFOS into an integer-order model and applies the CBOA with stability equations to determine the approximant. The proposed method ensures the stability of the reduced-order approximants if the original CFOS is stable. A numerical example is shown to establish the efficacy of the proposed method over existing techniques.

Original language	English
Title of host publication	ASCC 2022 - 2022 13th Asian Control Conference, Proceedings
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	312-315
Number of pages	4
ISBN (Electronic)	9788993215236
DOIs	https://doi.org/10.23919/ASCC56756.2022.9828143
Publication status	Published - 2022
Event	13th Asian Control Conference, ASCC 2022 - Jeju, Korea, Republic of Duration: 4 May 2022 → 7 May 2022

Conference

Conference	13th Asian Control Conference, ASCC 2022
Country/Territory	Korea, Republic of
City	Jeju
Period	4/05/22 → 7/05/22

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10.23919/ASCC56756.2022.9828143

Cite this

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title = "Approximation of Commensurate Fractional-order systems using Colliding bodies optimization",

abstract = "This paper presents a model reduction method for commensurate fractional-order systems (CFOS) using colliding bodies optimization algorithm (CBOA). The proposed method converts the original CFOS into an integer-order model and applies the CBOA with stability equations to determine the approximant. The proposed method ensures the stability of the reduced-order approximants if the original CFOS is stable. A numerical example is shown to establish the efficacy of the proposed method over existing techniques. ",

keywords = "colliding bodies optimization, Model reduction",

author = "Singh, {Chhabindra Nath} and Deepak Kumar and Paulson Samuel and Gupta, {Akhilesh Kumar} and Victor Sreeram",

note = "Publisher Copyright: {\textcopyright} 2022 ACA.; 13th Asian Control Conference, ASCC 2022 ; Conference date: 04-05-2022 Through 07-05-2022",

year = "2022",

doi = "10.23919/ASCC56756.2022.9828143",

language = "English",

pages = "312--315",

booktitle = "ASCC 2022 - 2022 13th Asian Control Conference, Proceedings",

publisher = "IEEE, Institute of Electrical and Electronics Engineers",

address = "United States",

}

Singh, CN, Kumar, D, Samuel, P, Gupta, AK & Sreeram, V 2022, Approximation of Commensurate Fractional-order systems using Colliding bodies optimization. in ASCC 2022 - 2022 13th Asian Control Conference, Proceedings. IEEE, Institute of Electrical and Electronics Engineers, pp. 312-315, 13th Asian Control Conference, ASCC 2022, Jeju, Korea, Republic of, 4/05/22. https://doi.org/10.23919/ASCC56756.2022.9828143

Approximation of Commensurate Fractional-order systems using Colliding bodies optimization. / Singh, Chhabindra Nath; Kumar, Deepak; Samuel, Paulson et al.
ASCC 2022 - 2022 13th Asian Control Conference, Proceedings. IEEE, Institute of Electrical and Electronics Engineers, 2022. p. 312-315.

Research output: Chapter in Book/Conference paper › Conference paper › peer-review

TY - GEN

T1 - Approximation of Commensurate Fractional-order systems using Colliding bodies optimization

AU - Singh, Chhabindra Nath

AU - Kumar, Deepak

AU - Samuel, Paulson

AU - Gupta, Akhilesh Kumar

AU - Sreeram, Victor

PY - 2022

Y1 - 2022

N2 - This paper presents a model reduction method for commensurate fractional-order systems (CFOS) using colliding bodies optimization algorithm (CBOA). The proposed method converts the original CFOS into an integer-order model and applies the CBOA with stability equations to determine the approximant. The proposed method ensures the stability of the reduced-order approximants if the original CFOS is stable. A numerical example is shown to establish the efficacy of the proposed method over existing techniques.

AB - This paper presents a model reduction method for commensurate fractional-order systems (CFOS) using colliding bodies optimization algorithm (CBOA). The proposed method converts the original CFOS into an integer-order model and applies the CBOA with stability equations to determine the approximant. The proposed method ensures the stability of the reduced-order approximants if the original CFOS is stable. A numerical example is shown to establish the efficacy of the proposed method over existing techniques.

KW - colliding bodies optimization

KW - Model reduction

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DO - 10.23919/ASCC56756.2022.9828143

M3 - Conference paper

AN - SCOPUS:85135631180

SP - 312

EP - 315

BT - ASCC 2022 - 2022 13th Asian Control Conference, Proceedings

PB - IEEE, Institute of Electrical and Electronics Engineers

T2 - 13th Asian Control Conference, ASCC 2022

Y2 - 4 May 2022 through 7 May 2022

ER -

Approximation of Commensurate Fractional-order systems using Colliding bodies optimization

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