Linear control of time-domain constrained systems

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

1 Citation (Scopus)

Abstract

Recent results on the control of linear systems subject to time-domain constraints could only handle the case of closed-loop poles that are situated on the real axis. As most closed-loop systems in practice contain also complex poles, there is a strong need for a general framework encompassing all cases. In this paper such a framework is presented based on sums-of-squares techniques and we show indeed that time-domain constraints on closed-loop signals of linear systems can be incorporated as linear matrix inequalities, even when complex conjugate poles are assigned. The effectiveness of this complete design method is evaluated by means of a simulation example.
Original languageEnglish
Title of host publicationProceedings of the 48th IEEE Conference on Decision and Control, 2009, Shanghai, China
Place of PublicationNew York
PublisherInstitute of Electrical and Electronics Engineers
Pages5339-5344
ISBN (Print)978-1-4244-3872-3
DOIs
Publication statusPublished - 2009
Event48th IEEE Conference on Decision and Control (CDC 2009) - "Shanghai International Convention Center", Shanghai, China
Duration: 16 Dec 200918 Dec 2009
Conference number: 48
http://people.bu.edu/johnb/CDC2009-cfp.pdf

Conference

Conference48th IEEE Conference on Decision and Control (CDC 2009)
Abbreviated titleCDC 2009
CountryChina
CityShanghai
Period16/12/0918/12/09
Internet address

Fingerprint

Poles
Linear systems
Linear matrix inequalities
Closed loop systems

Cite this

Aangenent, W. H. T. M., Heemels, W. P. M. H., Molengraft, van de, M. J. G., & Steinbuch, M. (2009). Linear control of time-domain constrained systems. In Proceedings of the 48th IEEE Conference on Decision and Control, 2009, Shanghai, China (pp. 5339-5344). New York: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2009.5400574
Aangenent, W.H.T.M. ; Heemels, W.P.M.H. ; Molengraft, van de, M.J.G. ; Steinbuch, M. / Linear control of time-domain constrained systems. Proceedings of the 48th IEEE Conference on Decision and Control, 2009, Shanghai, China. New York : Institute of Electrical and Electronics Engineers, 2009. pp. 5339-5344
@inproceedings{4bca606e6cc740cca40cd94d08ee5f94,
title = "Linear control of time-domain constrained systems",
abstract = "Recent results on the control of linear systems subject to time-domain constraints could only handle the case of closed-loop poles that are situated on the real axis. As most closed-loop systems in practice contain also complex poles, there is a strong need for a general framework encompassing all cases. In this paper such a framework is presented based on sums-of-squares techniques and we show indeed that time-domain constraints on closed-loop signals of linear systems can be incorporated as linear matrix inequalities, even when complex conjugate poles are assigned. The effectiveness of this complete design method is evaluated by means of a simulation example.",
author = "W.H.T.M. Aangenent and W.P.M.H. Heemels and {Molengraft, van de}, M.J.G. and M. Steinbuch",
year = "2009",
doi = "10.1109/CDC.2009.5400574",
language = "English",
isbn = "978-1-4244-3872-3",
pages = "5339--5344",
booktitle = "Proceedings of the 48th IEEE Conference on Decision and Control, 2009, Shanghai, China",
publisher = "Institute of Electrical and Electronics Engineers",
address = "United States",

}

Aangenent, WHTM, Heemels, WPMH, Molengraft, van de, MJG & Steinbuch, M 2009, Linear control of time-domain constrained systems. in Proceedings of the 48th IEEE Conference on Decision and Control, 2009, Shanghai, China. Institute of Electrical and Electronics Engineers, New York, pp. 5339-5344, 48th IEEE Conference on Decision and Control (CDC 2009), Shanghai, China, 16/12/09. https://doi.org/10.1109/CDC.2009.5400574

Linear control of time-domain constrained systems. / Aangenent, W.H.T.M.; Heemels, W.P.M.H.; Molengraft, van de, M.J.G.; Steinbuch, M.

Proceedings of the 48th IEEE Conference on Decision and Control, 2009, Shanghai, China. New York : Institute of Electrical and Electronics Engineers, 2009. p. 5339-5344.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - Linear control of time-domain constrained systems

AU - Aangenent, W.H.T.M.

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

AU - Molengraft, van de, M.J.G.

AU - Steinbuch, M.

PY - 2009

Y1 - 2009

N2 - Recent results on the control of linear systems subject to time-domain constraints could only handle the case of closed-loop poles that are situated on the real axis. As most closed-loop systems in practice contain also complex poles, there is a strong need for a general framework encompassing all cases. In this paper such a framework is presented based on sums-of-squares techniques and we show indeed that time-domain constraints on closed-loop signals of linear systems can be incorporated as linear matrix inequalities, even when complex conjugate poles are assigned. The effectiveness of this complete design method is evaluated by means of a simulation example.

AB - Recent results on the control of linear systems subject to time-domain constraints could only handle the case of closed-loop poles that are situated on the real axis. As most closed-loop systems in practice contain also complex poles, there is a strong need for a general framework encompassing all cases. In this paper such a framework is presented based on sums-of-squares techniques and we show indeed that time-domain constraints on closed-loop signals of linear systems can be incorporated as linear matrix inequalities, even when complex conjugate poles are assigned. The effectiveness of this complete design method is evaluated by means of a simulation example.

U2 - 10.1109/CDC.2009.5400574

DO - 10.1109/CDC.2009.5400574

M3 - Conference contribution

SN - 978-1-4244-3872-3

SP - 5339

EP - 5344

BT - Proceedings of the 48th IEEE Conference on Decision and Control, 2009, Shanghai, China

PB - Institute of Electrical and Electronics Engineers

CY - New York

ER -

Aangenent WHTM, Heemels WPMH, Molengraft, van de MJG, Steinbuch M. Linear control of time-domain constrained systems. In Proceedings of the 48th IEEE Conference on Decision and Control, 2009, Shanghai, China. New York: Institute of Electrical and Electronics Engineers. 2009. p. 5339-5344 https://doi.org/10.1109/CDC.2009.5400574