Stabilization of discrete-time linear systems subject to input saturation and multiple unknown constant delays

Xu Wang; Ali Saberi; Antonie Arij Stoorvogel

Stabilization of discrete-time linear systems subject to input saturation and multiple unknown constant delays

Xu Wang, Ali Saberi, Antonie Arij Stoorvogel

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

1 Citation (Scopus)

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Abstract

In this paper, we study the semi-global stabilization of general linear discrete-time critically unstable systems subject to input saturation and multiple unknown input delays. Based on a simple frequency-domain stability criterion, we find upper bounds for delays that are inversely proportional to the argument of open-loop eigenvalues on the unit circle. For delays satisfying these upper bounds, linear low-gain state and finite dimensional dynamic measurement feedbacks are constructed to solve the semi-global stabilization problems.

Original language	Undefined
Title of host publication	Proceedings of the 2013 American Control Conference (ACC)
Place of Publication	USA
Publisher	IEEE
Pages	960-965
Number of pages	6
ISBN (Print)	978-1-4799-0177-7
Publication status	Published - 2013
Event	2013 American Control Conference, ACC 2013 - Washington, United States Duration: 17 Jun 2013 → 19 Jun 2013

Publication series

Name
Publisher	IEEE Control Systems Society
ISSN (Print)	0743-1619

Conference

Conference	2013 American Control Conference, ACC 2013
Abbreviated title	ACC
Country/Territory	United States
City	Washington
Period	17/06/13 → 19/06/13

Keywords

EWI-23773
METIS-300043
IR-87386

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Cite this

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title = "Stabilization of discrete-time linear systems subject to input saturation and multiple unknown constant delays",

abstract = "In this paper, we study the semi-global stabilization of general linear discrete-time critically unstable systems subject to input saturation and multiple unknown input delays. Based on a simple frequency-domain stability criterion, we find upper bounds for delays that are inversely proportional to the argument of open-loop eigenvalues on the unit circle. For delays satisfying these upper bounds, linear low-gain state and finite dimensional dynamic measurement feedbacks are constructed to solve the semi-global stabilization problems.",

keywords = "EWI-23773, METIS-300043, IR-87386",

author = "Xu Wang and Ali Saberi and Stoorvogel, {Antonie Arij}",

year = "2013",

language = "Undefined",

isbn = "978-1-4799-0177-7",

publisher = "IEEE",

pages = "960--965",

booktitle = "Proceedings of the 2013 American Control Conference (ACC)",

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note = "2013 American Control Conference, ACC 2013 ; Conference date: 17-06-2013 Through 19-06-2013",

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Wang, X, Saberi, A & Stoorvogel, AA 2013, Stabilization of discrete-time linear systems subject to input saturation and multiple unknown constant delays. in Proceedings of the 2013 American Control Conference (ACC). IEEE, USA, pp. 960-965, 2013 American Control Conference, ACC 2013, Washington, District of Columbia, United States, 17/06/13. <http://eprints.eemcs.utwente.nl/secure2/23773/01/p122.pdf>

TY - GEN

T1 - Stabilization of discrete-time linear systems subject to input saturation and multiple unknown constant delays

AU - Wang, Xu

AU - Saberi, Ali

AU - Stoorvogel, Antonie Arij

PY - 2013

Y1 - 2013

N2 - In this paper, we study the semi-global stabilization of general linear discrete-time critically unstable systems subject to input saturation and multiple unknown input delays. Based on a simple frequency-domain stability criterion, we find upper bounds for delays that are inversely proportional to the argument of open-loop eigenvalues on the unit circle. For delays satisfying these upper bounds, linear low-gain state and finite dimensional dynamic measurement feedbacks are constructed to solve the semi-global stabilization problems.

AB - In this paper, we study the semi-global stabilization of general linear discrete-time critically unstable systems subject to input saturation and multiple unknown input delays. Based on a simple frequency-domain stability criterion, we find upper bounds for delays that are inversely proportional to the argument of open-loop eigenvalues on the unit circle. For delays satisfying these upper bounds, linear low-gain state and finite dimensional dynamic measurement feedbacks are constructed to solve the semi-global stabilization problems.

KW - EWI-23773

KW - METIS-300043

KW - IR-87386

M3 - Conference contribution

SN - 978-1-4799-0177-7

SP - 960

EP - 965

BT - Proceedings of the 2013 American Control Conference (ACC)

PB - IEEE

CY - USA

T2 - 2013 American Control Conference, ACC 2013

Y2 - 17 June 2013 through 19 June 2013

ER -