Observability and detectability analysis of singular linear systems with unknown inputs

Francisco Javier Bejarano; Thierry Floquet; Wilfrid Perruquetti; Gang Zheng

doi:10.1109/CDC.2011.6161325

Observability and detectability analysis of singular linear systems with unknown inputs

Francisco Javier Bejarano, Thierry Floquet, Wilfrid Perruquetti, Gang Zheng

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

10 Scopus citations

Abstract

We study the observability problem of a general class of singular linear systems with unknown inputs. It is shown that, under some assumptions, the problem is equivalent to study the observability of a standard linear system with unknown inputs satisfying algebraic constraints. We obtain necessary and sufficient conditions for observability in terms of the zeros of the system matrix.

Original language	English
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4005-4010
Number of pages	6
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6161325
State	Published - 2011
Externally published	Yes
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: 12 Dec 2011 → 15 Dec 2011

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/Territory	United States
City	Orlando, FL
Period	12/12/11 → 15/12/11

Keywords

Singular systems
algebraic observability
strong observability

Access to Document

10.1109/CDC.2011.6161325

Cite this

Bejarano, F. J., Floquet, T., Perruquetti, W., & Zheng, G. (2011). Observability and detectability analysis of singular linear systems with unknown inputs. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 4005-4010). Article 6161325 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6161325

Bejarano, Francisco Javier ; Floquet, Thierry ; Perruquetti, Wilfrid et al. / Observability and detectability analysis of singular linear systems with unknown inputs. 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. pp. 4005-4010 (Proceedings of the IEEE Conference on Decision and Control).

@inproceedings{c4dc81ec326e4b89ab96ad109db4dbb2,

title = "Observability and detectability analysis of singular linear systems with unknown inputs",

abstract = "We study the observability problem of a general class of singular linear systems with unknown inputs. It is shown that, under some assumptions, the problem is equivalent to study the observability of a standard linear system with unknown inputs satisfying algebraic constraints. We obtain necessary and sufficient conditions for observability in terms of the zeros of the system matrix.",

keywords = "Singular systems, algebraic observability, strong observability",

author = "Bejarano, {Francisco Javier} and Thierry Floquet and Wilfrid Perruquetti and Gang Zheng",

year = "2011",

doi = "10.1109/CDC.2011.6161325",

language = "Ingl{\'e}s",

isbn = "9781612848006",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "4005--4010",

booktitle = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011",

address = "Estados Unidos",

note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",

}

Bejarano, FJ, Floquet, T, Perruquetti, W & Zheng, G 2011, Observability and detectability analysis of singular linear systems with unknown inputs. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6161325, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 4005-4010, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6161325

Observability and detectability analysis of singular linear systems with unknown inputs. / Bejarano, Francisco Javier; Floquet, Thierry; Perruquetti, Wilfrid et al.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 4005-4010 6161325 (Proceedings of the IEEE Conference on Decision and Control).

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

TY - GEN

T1 - Observability and detectability analysis of singular linear systems with unknown inputs

AU - Bejarano, Francisco Javier

AU - Floquet, Thierry

AU - Perruquetti, Wilfrid

AU - Zheng, Gang

PY - 2011

Y1 - 2011

N2 - We study the observability problem of a general class of singular linear systems with unknown inputs. It is shown that, under some assumptions, the problem is equivalent to study the observability of a standard linear system with unknown inputs satisfying algebraic constraints. We obtain necessary and sufficient conditions for observability in terms of the zeros of the system matrix.

AB - We study the observability problem of a general class of singular linear systems with unknown inputs. It is shown that, under some assumptions, the problem is equivalent to study the observability of a standard linear system with unknown inputs satisfying algebraic constraints. We obtain necessary and sufficient conditions for observability in terms of the zeros of the system matrix.

KW - Singular systems

KW - algebraic observability

KW - strong observability

UR - http://www.scopus.com/inward/record.url?scp=84860701644&partnerID=8YFLogxK

U2 - 10.1109/CDC.2011.6161325

DO - 10.1109/CDC.2011.6161325

M3 - Contribución a la conferencia

AN - SCOPUS:84860701644

SN - 9781612848006

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 4005

EP - 4010

BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011

Y2 - 12 December 2011 through 15 December 2011

ER -

Bejarano FJ, Floquet T, Perruquetti W, Zheng G. Observability and detectability analysis of singular linear systems with unknown inputs. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc. 2011. p. 4005-4010. 6161325. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2011.6161325

Observability and detectability analysis of singular linear systems with unknown inputs

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this