Observer design for Lur'e systems with monotone multivalued mappings

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

doi:10.3182/20050703-6-CZ-1902.00316

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 proceeding › Conference contribution › Academic › peer-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 language	English
Title of host publication	Proceedings of the 16th IFAC World Congress, IFAC 2005
Place of Publication	Amsterdam
Publisher	Elsevier
Pages	187-192
Number of pages	6
ISBN (Print)	008045108X, 9780080451084
DOIs	https://doi.org/10.3182/20050703-6-CZ-1902.00316
Publication status	Published - 1 Dec 2005
Event	16th World Congress of the International Federation of Aufomatic Control (IFAC 2005 World Congress) - Prague, Czech Republic Duration: 4 Jul 2005 → 8 Jul 2005 Conference number: 16

Publication series

Name	IFAC proceedings volumes
Number	1
Volume	38

Conference

Conference	16th World Congress of the International Federation of Aufomatic Control (IFAC 2005 World Congress)
Abbreviated title	IFAC 2005
Country/Territory	Czech Republic
City	Prague
Period	4/07/05 → 8/07/05

Keywords

Hybrid systems
Multivalued mappings
Observer design

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10.3182/20050703-6-CZ-1902.00316

Cite this

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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",

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note = "16th World Congress of the International Federation of Aufomatic Control (IFAC 2005 World Congress), IFAC 2005 ; Conference date: 04-07-2005 Through 08-07-2005",

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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 proceeding › Conference contribution › Academic › peer-review

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

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

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AU - Brogliato, Bernard

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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.

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KW - Multivalued mappings

KW - Observer design

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

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T2 - 16th World Congress of the International Federation of Aufomatic Control (IFAC 2005 World Congress)

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ER -

Observer design for Lur'e systems with monotone multivalued mappings

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Keywords

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