Global stabilization of the discrete-time double integrator using a saturated linear state feedback controller

Tao Yang; Antonie Arij Stoorvogel; Ali Saberi

Global stabilization of the discrete-time double integrator using a saturated linear state feedback controller

Tao Yang, Antonie Arij Stoorvogel, Ali Saberi

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

4 Citations (Scopus)

36 Downloads (Pure)

Abstract

This paper further studies the discrete-time double integrator. Earlier it has been shown by us that there exists a class of locally stabilizing saturated linear state feedbacks which cause periodic behavior for certain initial conditions and hence the closed-loop system is then not globally asymptotically stable. In this paper, we show that all the remaining locally stabilizing saturated linear state feedbacks globally stabilize the discretetime double integrator.

Original language	Undefined
Title of host publication	Proceedings of the American Control Conference, ACC 2011
Place of Publication	USA
Publisher	IEEE
Pages	4440-4445
Number of pages	6
ISBN (Print)	978-1-4577-0080-4
Publication status	Published - Jun 2011
Event	2011 American Control Conference, ACC 2011 - San Francisco, United States Duration: 29 Jun 2011 → 1 Jul 2011

Publication series

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

Conference

Conference	2011 American Control Conference, ACC 2011
Abbreviated title	ACC
Country/Territory	United States
City	San Francisco
Period	29/06/11 → 1/07/11

Keywords

IR-78313
EWI-20709
METIS-279211

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Cite this

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title = "Global stabilization of the discrete-time double integrator using a saturated linear state feedback controller",

abstract = "This paper further studies the discrete-time double integrator. Earlier it has been shown by us that there exists a class of locally stabilizing saturated linear state feedbacks which cause periodic behavior for certain initial conditions and hence the closed-loop system is then not globally asymptotically stable. In this paper, we show that all the remaining locally stabilizing saturated linear state feedbacks globally stabilize the discretetime double integrator.",

keywords = "IR-78313, EWI-20709, METIS-279211",

author = "Tao Yang and Stoorvogel, {Antonie Arij} and Ali Saberi",

year = "2011",

month = jun,

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isbn = "978-1-4577-0080-4",

publisher = "IEEE",

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Yang, T, Stoorvogel, AA & Saberi, A 2011, Global stabilization of the discrete-time double integrator using a saturated linear state feedback controller. in Proceedings of the American Control Conference, ACC 2011. IEEE, USA, pp. 4440-4445, 2011 American Control Conference, ACC 2011, San Francisco, California, United States, 29/06/11. <http://eprints.eemcs.utwente.nl/secure2/20709/01/p109.pdf>

Global stabilization of the discrete-time double integrator using a saturated linear state feedback controller. / Yang, Tao; Stoorvogel, Antonie Arij; Saberi, Ali.
Proceedings of the American Control Conference, ACC 2011. USA: IEEE, 2011. p. 4440-4445.

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

TY - GEN

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AU - Stoorvogel, Antonie Arij

AU - Saberi, Ali

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N2 - This paper further studies the discrete-time double integrator. Earlier it has been shown by us that there exists a class of locally stabilizing saturated linear state feedbacks which cause periodic behavior for certain initial conditions and hence the closed-loop system is then not globally asymptotically stable. In this paper, we show that all the remaining locally stabilizing saturated linear state feedbacks globally stabilize the discretetime double integrator.

AB - This paper further studies the discrete-time double integrator. Earlier it has been shown by us that there exists a class of locally stabilizing saturated linear state feedbacks which cause periodic behavior for certain initial conditions and hence the closed-loop system is then not globally asymptotically stable. In this paper, we show that all the remaining locally stabilizing saturated linear state feedbacks globally stabilize the discretetime double integrator.

KW - IR-78313

KW - EWI-20709

KW - METIS-279211

M3 - Conference contribution

SN - 978-1-4577-0080-4

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EP - 4445

BT - Proceedings of the American Control Conference, ACC 2011

PB - IEEE

CY - USA

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Y2 - 29 June 2011 through 1 July 2011

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