Frequency-domain stability conditions for split-path nonlinear systems

S.J.A.M. van den Eijnden; B. Sharif; M.F. Heertjes; W.P.M.H. Heemels

doi:10.1016/j.ifacol.2023.02.051

Frequency-domain stability conditions for split-path nonlinear systems

S.J.A.M. van den Eijnden, B. Sharif, M.F. Heertjes, W.P.M.H. Heemels

Onderzoeksoutput: Bijdrage aan tijdschrift › Congresartikel › peer review

1 Citaat (Scopus)

77 Downloads (Pure)

Samenvatting

This paper considers the class of control systems containing so-called split-path nonlinear (SPAN) filters, which are designed to overcome some of the well-known fundamental limitations in linear time-invariant (LTI) control. In this work, we are interested in developing tools for the stability analysis of such systems using frequency-domain techniques. Hereto, we explicitly show the equivalence between a set of linear matrix inequalities (LMIs) with S-procedure terms, guaranteeing stability of the closed-loop (SPAN) system, and a frequency-domain condition. We also provide a systematic procedure for verifying the frequency-domain condition in a graphical manner. The results are illustrated through a nummerical case study.

Originele taal-2	Engels
Pagina's (van-tot)	301-306
Aantal pagina's	6
Tijdschrift	IFAC-PapersOnLine
Volume	56
Nummer van het tijdschrift	1
DOI's	https://doi.org/10.1016/j.ifacol.2023.02.051
Status	Gepubliceerd - 1 jan. 2023
Evenement	12th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2022 - Canberra, Australië Duur: 4 jan. 2023 → 6 jan. 2023 Congresnummer: 12

Bibliografische nota

Funding Information:
The research leading to these results has received funding from the European Research Council under the Advanced ERC Grant Agreement PROACTHIS, no. 101055384.

Toegang tot document

10.1016/j.ifacol.2023.02.051

pdfDefinitieve gepubliceerde versie, 543 KB

Andere bestanden en links

Link naar publicatie in Scopus

Citeer dit

@article{69291a5c4ca3467596abf46aa1ff03f8,

title = "Frequency-domain stability conditions for split-path nonlinear systems",

abstract = "This paper considers the class of control systems containing so-called split-path nonlinear (SPAN) filters, which are designed to overcome some of the well-known fundamental limitations in linear time-invariant (LTI) control. In this work, we are interested in developing tools for the stability analysis of such systems using frequency-domain techniques. Hereto, we explicitly show the equivalence between a set of linear matrix inequalities (LMIs) with S-procedure terms, guaranteeing stability of the closed-loop (SPAN) system, and a frequency-domain condition. We also provide a systematic procedure for verifying the frequency-domain condition in a graphical manner. The results are illustrated through a nummerical case study.",

author = "{van den Eijnden}, S.J.A.M. and B. Sharif and M.F. Heertjes and W.P.M.H. Heemels",

note = "Funding Information: The research leading to these results has received funding from the European Research Council under the Advanced ERC Grant Agreement PROACTHIS, no. 101055384.; 12th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2022, NOLCOS 2022 ; Conference date: 04-01-2023 Through 06-01-2023",

year = "2023",

month = jan,

day = "1",

doi = "10.1016/j.ifacol.2023.02.051",

language = "English",

volume = "56",

pages = "301--306",

journal = "IFAC-PapersOnLine",

issn = "2405-8963",

publisher = "Elsevier",

number = "1",

}

TY - JOUR

T1 - Frequency-domain stability conditions for split-path nonlinear systems

AU - van den Eijnden, S.J.A.M.

AU - Sharif, B.

AU - Heertjes, M.F.

AU - Heemels, W.P.M.H.

N1 - Conference code: 12

PY - 2023/1/1

Y1 - 2023/1/1

N2 - This paper considers the class of control systems containing so-called split-path nonlinear (SPAN) filters, which are designed to overcome some of the well-known fundamental limitations in linear time-invariant (LTI) control. In this work, we are interested in developing tools for the stability analysis of such systems using frequency-domain techniques. Hereto, we explicitly show the equivalence between a set of linear matrix inequalities (LMIs) with S-procedure terms, guaranteeing stability of the closed-loop (SPAN) system, and a frequency-domain condition. We also provide a systematic procedure for verifying the frequency-domain condition in a graphical manner. The results are illustrated through a nummerical case study.

AB - This paper considers the class of control systems containing so-called split-path nonlinear (SPAN) filters, which are designed to overcome some of the well-known fundamental limitations in linear time-invariant (LTI) control. In this work, we are interested in developing tools for the stability analysis of such systems using frequency-domain techniques. Hereto, we explicitly show the equivalence between a set of linear matrix inequalities (LMIs) with S-procedure terms, guaranteeing stability of the closed-loop (SPAN) system, and a frequency-domain condition. We also provide a systematic procedure for verifying the frequency-domain condition in a graphical manner. The results are illustrated through a nummerical case study.

UR - http://www.scopus.com/inward/record.url?scp=85162223224&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2023.02.051

DO - 10.1016/j.ifacol.2023.02.051

M3 - Conference article

AN - SCOPUS:85162223224

SN - 2405-8963

VL - 56

SP - 301

EP - 306

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 1

T2 - 12th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2022

Y2 - 4 January 2023 through 6 January 2023

ER -

Frequency-domain stability conditions for split-path nonlinear systems

Samenvatting

Bibliografische nota

Toegang tot document

Andere bestanden en links

Vingerafdruk

Citeer dit