Observer design for Lur'e systems with monotone multivalued mappings

W.P.M.H. Heemels, A.L.J. Juloski, Bernard Brogliato

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

6 Citations (Scopus)

Abstract

in this paper we present a constructive observer design procedure for a class of nonsmooth dynamical systems, namely systems of Lur'e type with a monotone multivalued mapping in the feedback path. Examples of such systems include various classes of hybrid systems. Under the assumption that the observed system is well behaved, we prove that the proposed observers are well-posed (i.e. that there exists a unique weak solution to the observer dynamics), and that the observer asymptotically recovers the state of the observed system, under the assumption that the weak solutions of the observer are absolutely continuous. The results are illustrated on an example of a deep sea oil drilling assembly with a string.

Original languageEnglish
Title of host publicationProceedings of the 16th IFAC World Congress, IFAC 2005
Place of PublicationAmsterdam
PublisherElsevier
Pages187-192
Number of pages6
ISBN (Print)008045108X, 9780080451084
DOIs
Publication statusPublished - 1 Dec 2005
Event16th World Congress of the International Federation of Aufomatic Control (IFAC 2005 World Congress) - Prague, Czech Republic
Duration: 4 Jul 20058 Jul 2005
Conference number: 16

Publication series

NameIFAC proceedings volumes
Number1
Volume38

Conference

Conference16th World Congress of the International Federation of Aufomatic Control (IFAC 2005 World Congress)
Abbreviated titleIFAC 2005
CountryCzech Republic
CityPrague
Period4/07/058/07/05

Fingerprint

Hybrid systems
Drilling
Dynamical systems
Feedback
Oils

Keywords

  • Hybrid systems
  • Multivalued mappings
  • Observer design

Cite this

Heemels, W. P. M. H., Juloski, A. L. J., & Brogliato, B. (2005). Observer design for Lur'e systems with monotone multivalued mappings. In Proceedings of the 16th IFAC World Congress, IFAC 2005 (pp. 187-192). (IFAC proceedings volumes; Vol. 38, No. 1). Amsterdam: Elsevier. https://doi.org/10.3182/20050703-6-CZ-1902.00316
Heemels, W.P.M.H. ; Juloski, A.L.J. ; Brogliato, Bernard. / Observer design for Lur'e systems with monotone multivalued mappings. Proceedings of the 16th IFAC World Congress, IFAC 2005. Amsterdam : Elsevier, 2005. pp. 187-192 (IFAC proceedings volumes; 1).
@inproceedings{3e73359ea68f467d9c5057e55e01832d,
title = "Observer design for Lur'e systems with monotone multivalued mappings",
abstract = "in this paper we present a constructive observer design procedure for a class of nonsmooth dynamical systems, namely systems of Lur'e type with a monotone multivalued mapping in the feedback path. Examples of such systems include various classes of hybrid systems. Under the assumption that the observed system is well behaved, we prove that the proposed observers are well-posed (i.e. that there exists a unique weak solution to the observer dynamics), and that the observer asymptotically recovers the state of the observed system, under the assumption that the weak solutions of the observer are absolutely continuous. The results are illustrated on an example of a deep sea oil drilling assembly with a string.",
keywords = "Hybrid systems, Multivalued mappings, Observer design",
author = "W.P.M.H. Heemels and A.L.J. Juloski and Bernard Brogliato",
year = "2005",
month = "12",
day = "1",
doi = "10.3182/20050703-6-CZ-1902.00316",
language = "English",
isbn = "008045108X",
series = "IFAC proceedings volumes",
publisher = "Elsevier",
number = "1",
pages = "187--192",
booktitle = "Proceedings of the 16th IFAC World Congress, IFAC 2005",
address = "Netherlands",

}

Heemels, WPMH, Juloski, ALJ & Brogliato, B 2005, Observer design for Lur'e systems with monotone multivalued mappings. in Proceedings of the 16th IFAC World Congress, IFAC 2005. IFAC proceedings volumes, no. 1, vol. 38, Elsevier, Amsterdam, pp. 187-192, 16th World Congress of the International Federation of Aufomatic Control (IFAC 2005 World Congress), Prague, Czech Republic, 4/07/05. https://doi.org/10.3182/20050703-6-CZ-1902.00316

Observer design for Lur'e systems with monotone multivalued mappings. / Heemels, W.P.M.H.; Juloski, A.L.J.; Brogliato, Bernard.

Proceedings of the 16th IFAC World Congress, IFAC 2005. Amsterdam : Elsevier, 2005. p. 187-192 (IFAC proceedings volumes; Vol. 38, No. 1).

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

TY - GEN

T1 - Observer design for Lur'e systems with monotone multivalued mappings

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

AU - Juloski, A.L.J.

AU - Brogliato, Bernard

PY - 2005/12/1

Y1 - 2005/12/1

N2 - in this paper we present a constructive observer design procedure for a class of nonsmooth dynamical systems, namely systems of Lur'e type with a monotone multivalued mapping in the feedback path. Examples of such systems include various classes of hybrid systems. Under the assumption that the observed system is well behaved, we prove that the proposed observers are well-posed (i.e. that there exists a unique weak solution to the observer dynamics), and that the observer asymptotically recovers the state of the observed system, under the assumption that the weak solutions of the observer are absolutely continuous. The results are illustrated on an example of a deep sea oil drilling assembly with a string.

AB - in this paper we present a constructive observer design procedure for a class of nonsmooth dynamical systems, namely systems of Lur'e type with a monotone multivalued mapping in the feedback path. Examples of such systems include various classes of hybrid systems. Under the assumption that the observed system is well behaved, we prove that the proposed observers are well-posed (i.e. that there exists a unique weak solution to the observer dynamics), and that the observer asymptotically recovers the state of the observed system, under the assumption that the weak solutions of the observer are absolutely continuous. The results are illustrated on an example of a deep sea oil drilling assembly with a string.

KW - Hybrid systems

KW - Multivalued mappings

KW - Observer design

UR - http://www.scopus.com/inward/record.url?scp=79960708562&partnerID=8YFLogxK

U2 - 10.3182/20050703-6-CZ-1902.00316

DO - 10.3182/20050703-6-CZ-1902.00316

M3 - Conference contribution

AN - SCOPUS:79960708562

SN - 008045108X

SN - 9780080451084

T3 - IFAC proceedings volumes

SP - 187

EP - 192

BT - Proceedings of the 16th IFAC World Congress, IFAC 2005

PB - Elsevier

CY - Amsterdam

ER -

Heemels WPMH, Juloski ALJ, Brogliato B. Observer design for Lur'e systems with monotone multivalued mappings. In Proceedings of the 16th IFAC World Congress, IFAC 2005. Amsterdam: Elsevier. 2005. p. 187-192. (IFAC proceedings volumes; 1). https://doi.org/10.3182/20050703-6-CZ-1902.00316