Stabilization strategy for unstable first order linear systems with large time delay

B. Del-Muro-Cuéllar, J. F. Márquez-Rubio, M. Velasco-Villa, J. Alvarez-Ramirez

Research output: Contribution to conferencePaper

Abstract

This work considers the problem of stabilization of a class of unstable first order linear systems subject to large input-output time delay. It is proposed a double output feedback one of then subject to time delay. Necessary and sufficient conditions are stated to guarantee the stability of proposed scheme based on two static gains. The stability conditions are derived by considering a discrete time approach, that under the assumption of a sampling time tending to zero, it is possible to infer the corresponding conditions for the continuous case. © 2010 IFAC.
Original languageAmerican English
Pages249-253
Number of pages223
DOIs
StatePublished - 1 Jan 2010
EventIFAC Proceedings Volumes (IFAC-PapersOnline) -
Duration: 1 Dec 2011 → …

Conference

ConferenceIFAC Proceedings Volumes (IFAC-PapersOnline)
Period1/12/11 → …

Cite this

Del-Muro-Cuéllar, B., Márquez-Rubio, J. F., Velasco-Villa, M., & Alvarez-Ramirez, J. (2010). Stabilization strategy for unstable first order linear systems with large time delay. 249-253. Paper presented at IFAC Proceedings Volumes (IFAC-PapersOnline), . https://doi.org/10.3182/20100915-3-IT-2017.00046
Del-Muro-Cuéllar, B. ; Márquez-Rubio, J. F. ; Velasco-Villa, M. ; Alvarez-Ramirez, J. / Stabilization strategy for unstable first order linear systems with large time delay. Paper presented at IFAC Proceedings Volumes (IFAC-PapersOnline), .223 p.
@conference{89de329d8307436a810410dd24ccf1e3,
title = "Stabilization strategy for unstable first order linear systems with large time delay",
abstract = "This work considers the problem of stabilization of a class of unstable first order linear systems subject to large input-output time delay. It is proposed a double output feedback one of then subject to time delay. Necessary and sufficient conditions are stated to guarantee the stability of proposed scheme based on two static gains. The stability conditions are derived by considering a discrete time approach, that under the assumption of a sampling time tending to zero, it is possible to infer the corresponding conditions for the continuous case. {\circledC} 2010 IFAC.",
author = "B. Del-Muro-Cu{\'e}llar and M{\'a}rquez-Rubio, {J. F.} and M. Velasco-Villa and J. Alvarez-Ramirez",
year = "2010",
month = "1",
day = "1",
doi = "10.3182/20100915-3-IT-2017.00046",
language = "American English",
pages = "249--253",
note = "IFAC Proceedings Volumes (IFAC-PapersOnline) ; Conference date: 01-12-2011",

}

Del-Muro-Cuéllar, B, Márquez-Rubio, JF, Velasco-Villa, M & Alvarez-Ramirez, J 2010, 'Stabilization strategy for unstable first order linear systems with large time delay', Paper presented at IFAC Proceedings Volumes (IFAC-PapersOnline), 1/12/11 pp. 249-253. https://doi.org/10.3182/20100915-3-IT-2017.00046

Stabilization strategy for unstable first order linear systems with large time delay. / Del-Muro-Cuéllar, B.; Márquez-Rubio, J. F.; Velasco-Villa, M.; Alvarez-Ramirez, J.

2010. 249-253 Paper presented at IFAC Proceedings Volumes (IFAC-PapersOnline), .

Research output: Contribution to conferencePaper

TY - CONF

T1 - Stabilization strategy for unstable first order linear systems with large time delay

AU - Del-Muro-Cuéllar, B.

AU - Márquez-Rubio, J. F.

AU - Velasco-Villa, M.

AU - Alvarez-Ramirez, J.

PY - 2010/1/1

Y1 - 2010/1/1

N2 - This work considers the problem of stabilization of a class of unstable first order linear systems subject to large input-output time delay. It is proposed a double output feedback one of then subject to time delay. Necessary and sufficient conditions are stated to guarantee the stability of proposed scheme based on two static gains. The stability conditions are derived by considering a discrete time approach, that under the assumption of a sampling time tending to zero, it is possible to infer the corresponding conditions for the continuous case. © 2010 IFAC.

AB - This work considers the problem of stabilization of a class of unstable first order linear systems subject to large input-output time delay. It is proposed a double output feedback one of then subject to time delay. Necessary and sufficient conditions are stated to guarantee the stability of proposed scheme based on two static gains. The stability conditions are derived by considering a discrete time approach, that under the assumption of a sampling time tending to zero, it is possible to infer the corresponding conditions for the continuous case. © 2010 IFAC.

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84871280675&origin=inward

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84871280675&origin=inward

U2 - 10.3182/20100915-3-IT-2017.00046

DO - 10.3182/20100915-3-IT-2017.00046

M3 - Paper

SP - 249

EP - 253

ER -