Linear control of time-domain constrained systems

W.H.T.M. Aangenent; W.P.M.H. Heemels; M.J.G. Molengraft, van de; M. Steinbuch

doi:10.1109/CDC.2009.5400574

Linear control of time-domain constrained systems

W.H.T.M. Aangenent, W.P.M.H. Heemels, M.J.G. Molengraft, van de, M. Steinbuch

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-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 language	English
Title of host publication	Proceedings of the 48th IEEE Conference on Decision and Control, 2009, Shanghai, China
Place of Publication	New York
Publisher	Institute of Electrical and Electronics Engineers
Pages	5339-5344
ISBN (Print)	978-1-4244-3872-3
DOIs	https://doi.org/10.1109/CDC.2009.5400574
Publication status	Published - 2009
Event	48th IEEE Conference on Decision and Control, CDC 2009 - "Shanghai International Convention Center", Shanghai, China Duration: 15 Dec 2009 → 18 Dec 2009 Conference number: 48

Conference

Conference	48th IEEE Conference on Decision and Control, CDC 2009
Abbreviated title	CDC 2009
Country/Territory	China
City	Shanghai
Period	15/12/09 → 18/12/09
Other	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009

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10.1109/CDC.2009.5400574

Cite this

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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",

note = "48th IEEE Conference on Decision and Control, CDC 2009, CDC 2009 ; Conference date: 15-12-2009 Through 18-12-2009",

}

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, 15/12/09. 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. et al.
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 proceeding › Conference contribution › Academic › peer-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.

N1 - Conference code: 48

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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

T2 - 48th IEEE Conference on Decision and Control, CDC 2009

Y2 - 15 December 2009 through 18 December 2009

ER -

Linear control of time-domain constrained systems

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