Frequency-Domain Tools for Stability Analysis of Hybrid Integrator-Gain Systems

Sebastiaan J.A.M. van den Eijnden; Marcel F. Heertjes; W.P.M.H. Heemels; Henk Nijmeijer

doi:10.23919/ECC54610.2021.9655170

Frequency-Domain Tools for Stability Analysis of Hybrid Integrator-Gain Systems

Sebastiaan J.A.M. van den Eijnden, Marcel F. Heertjes, W.P.M.H. Heemels, Henk Nijmeijer

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

6 Citations (Scopus)

5 Downloads (Pure)

Abstract

Two new frequency-domain conditions for stability analysis of the feedback interconnection between a linear time-invariant (LTI) system and a sector-bounded hybrid integrator are presented. Compared to existing results, the conditions exploit more knowledge regarding the hybrid integrator's switching strategy, and guarantee the existence of a quadratic Lyapunov function that does not need to be positive within the full state-space. The conditions can be verified graphically on the basis of frequency response function data in a manner that is comparable to the classical Popov plot, making these tools valuable in practice.

Original language	English
Title of host publication	2021 European Control Conference, ECC 2021
Publisher	Institute of Electrical and Electronics Engineers
Pages	1895-1900
Number of pages	6
ISBN (Electronic)	9789463842365
DOIs	https://doi.org/10.23919/ECC54610.2021.9655170
Publication status	Published - 2021
Event	2021 European Control Conference, ECC 2021 - Virtual, Delft, Netherlands Duration: 29 Jun 2021 → 2 Jul 2021 Conference number: 19 https://ecc21.euca-ecc.org/ (conference website)

Conference

Conference	2021 European Control Conference, ECC 2021
Abbreviated title	ECC 2021
Country/Territory	Netherlands
City	Delft
Period	29/06/21 → 2/07/21
Internet address	https://ecc21.euca-ecc.org/ (conference website)

Bibliographical note

Publisher Copyright:
© 2021 EUCA.

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10.23919/ECC54610.2021.9655170

Cite this

@inproceedings{695e057b66fd415c8db26da71fac884a,

title = "Frequency-Domain Tools for Stability Analysis of Hybrid Integrator-Gain Systems",

abstract = "Two new frequency-domain conditions for stability analysis of the feedback interconnection between a linear time-invariant (LTI) system and a sector-bounded hybrid integrator are presented. Compared to existing results, the conditions exploit more knowledge regarding the hybrid integrator's switching strategy, and guarantee the existence of a quadratic Lyapunov function that does not need to be positive within the full state-space. The conditions can be verified graphically on the basis of frequency response function data in a manner that is comparable to the classical Popov plot, making these tools valuable in practice. ",

author = "{van den Eijnden}, {Sebastiaan J.A.M.} and Heertjes, {Marcel F.} and W.P.M.H. Heemels and Henk Nijmeijer",

note = "Publisher Copyright: {\textcopyright} 2021 EUCA.; 2021 European Control Conference, ECC 2021, ECC 2021 ; Conference date: 29-06-2021 Through 02-07-2021",

year = "2021",

doi = "10.23919/ECC54610.2021.9655170",

language = "English",

pages = "1895--1900",

booktitle = "2021 European Control Conference, ECC 2021",

publisher = "Institute of Electrical and Electronics Engineers",

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van den Eijnden, SJAM , Heertjes, MF , Heemels, WPMH & Nijmeijer, H 2021, Frequency-Domain Tools for Stability Analysis of Hybrid Integrator-Gain Systems. in 2021 European Control Conference, ECC 2021., 9655170, Institute of Electrical and Electronics Engineers, pp. 1895-1900, 2021 European Control Conference, ECC 2021, Delft, Netherlands, 29/06/21. https://doi.org/10.23919/ECC54610.2021.9655170

Frequency-Domain Tools for Stability Analysis of Hybrid Integrator-Gain Systems. / van den Eijnden, Sebastiaan J.A.M.; Heertjes, Marcel F.; Heemels, W.P.M.H. et al.
2021 European Control Conference, ECC 2021. Institute of Electrical and Electronics Engineers, 2021. p. 1895-1900 9655170.

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

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T1 - Frequency-Domain Tools for Stability Analysis of Hybrid Integrator-Gain Systems

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

AU - Heertjes, Marcel F.

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

AU - Nijmeijer, Henk

N1 - Conference code: 19

PY - 2021

Y1 - 2021

N2 - Two new frequency-domain conditions for stability analysis of the feedback interconnection between a linear time-invariant (LTI) system and a sector-bounded hybrid integrator are presented. Compared to existing results, the conditions exploit more knowledge regarding the hybrid integrator's switching strategy, and guarantee the existence of a quadratic Lyapunov function that does not need to be positive within the full state-space. The conditions can be verified graphically on the basis of frequency response function data in a manner that is comparable to the classical Popov plot, making these tools valuable in practice.

AB - Two new frequency-domain conditions for stability analysis of the feedback interconnection between a linear time-invariant (LTI) system and a sector-bounded hybrid integrator are presented. Compared to existing results, the conditions exploit more knowledge regarding the hybrid integrator's switching strategy, and guarantee the existence of a quadratic Lyapunov function that does not need to be positive within the full state-space. The conditions can be verified graphically on the basis of frequency response function data in a manner that is comparable to the classical Popov plot, making these tools valuable in practice.

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U2 - 10.23919/ECC54610.2021.9655170

DO - 10.23919/ECC54610.2021.9655170

M3 - Conference contribution

AN - SCOPUS:85124911702

SP - 1895

EP - 1900

BT - 2021 European Control Conference, ECC 2021

PB - Institute of Electrical and Electronics Engineers

T2 - 2021 European Control Conference, ECC 2021

Y2 - 29 June 2021 through 2 July 2021

ER -

Frequency-Domain Tools for Stability Analysis of Hybrid Integrator-Gain Systems

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