A Kalman decomposition for robustly unobservable uncertain linear systems

Ian R. Petersen

doi:10.1109/CDC.2005.1582609

A Kalman decomposition for robustly unobservable uncertain linear systems

Ian R. Petersen^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

3 Citations (Scopus)

Abstract

This paper considers the structure of uncertain linear systems building on a concept of robust unobservability which was introduced in a previous paper. Compared to the previous paper, this paper specializes to the case of linear time invariant uncertain systems with unstructured uncertainty described by an averaged integral quadratic constraint. The paper presents a new characterization of the robustly unobservable states and shows that this leads to a Kalman type decomposition for uncertain linear systems with robustly unobservable states.

Original language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages	2928-2932
Number of pages	5
DOIs	https://doi.org/10.1109/CDC.2005.1582609
Publication status	Published - 2005
Externally published	Yes
Event	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: 12 Dec 2005 → 15 Dec 2005

Publication series

Name	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume	2005

Conference

Conference	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Country/Territory	Spain
City	Seville
Period	12/12/05 → 15/12/05

Access to Document

10.1109/CDC.2005.1582609

Cite this

Petersen, I. R. (2005). A Kalman decomposition for robustly unobservable uncertain linear systems. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (pp. 2928-2932). Article 1582609 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005). https://doi.org/10.1109/CDC.2005.1582609

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title = "A Kalman decomposition for robustly unobservable uncertain linear systems",

abstract = "This paper considers the structure of uncertain linear systems building on a concept of robust unobservability which was introduced in a previous paper. Compared to the previous paper, this paper specializes to the case of linear time invariant uncertain systems with unstructured uncertainty described by an averaged integral quadratic constraint. The paper presents a new characterization of the robustly unobservable states and shows that this leads to a Kalman type decomposition for uncertain linear systems with robustly unobservable states.",

author = "Petersen, \{Ian R.\}",

year = "2005",

doi = "10.1109/CDC.2005.1582609",

language = "English",

isbn = "0780395689",

series = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

pages = "2928--2932",

booktitle = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

note = "44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 ; Conference date: 12-12-2005 Through 15-12-2005",

}

Petersen, IR 2005, A Kalman decomposition for robustly unobservable uncertain linear systems. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05., 1582609, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, pp. 2928-2932, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1582609

A Kalman decomposition for robustly unobservable uncertain linear systems. / Petersen, Ian R.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 2928-2932 1582609 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

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PY - 2005

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AB - This paper considers the structure of uncertain linear systems building on a concept of robust unobservability which was introduced in a previous paper. Compared to the previous paper, this paper specializes to the case of linear time invariant uncertain systems with unstructured uncertainty described by an averaged integral quadratic constraint. The paper presents a new characterization of the robustly unobservable states and shows that this leads to a Kalman type decomposition for uncertain linear systems with robustly unobservable states.

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DO - 10.1109/CDC.2005.1582609

M3 - Conference Paper

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BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

T2 - 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Y2 - 12 December 2005 through 15 December 2005

ER -

Petersen IR. A Kalman decomposition for robustly unobservable uncertain linear systems. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 2928-2932. 1582609. (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05). doi: 10.1109/CDC.2005.1582609

A Kalman decomposition for robustly unobservable uncertain linear systems

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