Nonlinear Observers for Perspective Time-Invariant Linear Systems

Rixat Abdursul; Hiroshi Inaba; Bijoy K. Ghosh

doi:10.1109/CDC.2003.1272315

Nonlinear Observers for Perspective Time-Invariant Linear Systems

Rixat Abdursul, Hiroshi Inaba, Bijoy K. Ghosh

Mathematics and Statistics

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

1 Scopus citations

Abstract

Perspective dynamical systems arise in machine vision, in which only perspective observation is available. This paper proposes and studies a Luenberger-type nonlinear observer for perspective time-invariant linear systems. Assuming a given perspective time-invariant linear system to be Lyapunov stable and to satisfy some sort of detectability condition, it is shown that the estimation error converges exponentially to zero. Finally, a simple numerical example is presented to illustrate the result obtained.

Original language	English
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	6319-6324
Number of pages	6
ISBN (Print)	0780379241
DOIs	https://doi.org/10.1109/CDC.2003.1272315
State	Published - 2003
Event	42nd IEEE Conference on Decision and Control - Maui, HI, United States Duration: Dec 9 2003 → Dec 12 2003

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	6
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	42nd IEEE Conference on Decision and Control
Country/Territory	United States
City	Maui, HI
Period	12/9/03 → 12/12/03

Access to Document

10.1109/CDC.2003.1272315

Cite this

@inproceedings{1490e00088d747a9b1b7fc3fac30f672,

title = "Nonlinear Observers for Perspective Time-Invariant Linear Systems",

abstract = "Perspective dynamical systems arise in machine vision, in which only perspective observation is available. This paper proposes and studies a Luenberger-type nonlinear observer for perspective time-invariant linear systems. Assuming a given perspective time-invariant linear system to be Lyapunov stable and to satisfy some sort of detectability condition, it is shown that the estimation error converges exponentially to zero. Finally, a simple numerical example is presented to illustrate the result obtained.",

author = "Rixat Abdursul and Hiroshi Inaba and Ghosh, {Bijoy K.}",

note = "Funding Information: This work was supported in part by the Japanese Ministry of Education, Science, Sports and Culture under both the Grant-Aid of General Scientific Research C-15560387 and the 21st Century COE (Center of Excellence) Research. ; 42nd IEEE Conference on Decision and Control ; Conference date: 09-12-2003 Through 12-12-2003",

year = "2003",

doi = "10.1109/CDC.2003.1272315",

language = "English",

isbn = "0780379241",

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

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

pages = "6319--6324",

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

}

Abdursul, R, Inaba, H & Ghosh, BK 2003, Nonlinear Observers for Perspective Time-Invariant Linear Systems. in Proceedings of the IEEE Conference on Decision and Control. Proceedings of the IEEE Conference on Decision and Control, vol. 6, Institute of Electrical and Electronics Engineers Inc., pp. 6319-6324, 42nd IEEE Conference on Decision and Control, Maui, HI, United States, 12/9/03. https://doi.org/10.1109/CDC.2003.1272315

Nonlinear Observers for Perspective Time-Invariant Linear Systems. / Abdursul, Rixat; Inaba, Hiroshi; Ghosh, Bijoy K.
Proceedings of the IEEE Conference on Decision and Control. Institute of Electrical and Electronics Engineers Inc., 2003. p. 6319-6324 (Proceedings of the IEEE Conference on Decision and Control; Vol. 6).

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

TY - GEN

T1 - Nonlinear Observers for Perspective Time-Invariant Linear Systems

AU - Abdursul, Rixat

AU - Inaba, Hiroshi

AU - Ghosh, Bijoy K.

N1 - Funding Information: This work was supported in part by the Japanese Ministry of Education, Science, Sports and Culture under both the Grant-Aid of General Scientific Research C-15560387 and the 21st Century COE (Center of Excellence) Research.

PY - 2003

Y1 - 2003

N2 - Perspective dynamical systems arise in machine vision, in which only perspective observation is available. This paper proposes and studies a Luenberger-type nonlinear observer for perspective time-invariant linear systems. Assuming a given perspective time-invariant linear system to be Lyapunov stable and to satisfy some sort of detectability condition, it is shown that the estimation error converges exponentially to zero. Finally, a simple numerical example is presented to illustrate the result obtained.

AB - Perspective dynamical systems arise in machine vision, in which only perspective observation is available. This paper proposes and studies a Luenberger-type nonlinear observer for perspective time-invariant linear systems. Assuming a given perspective time-invariant linear system to be Lyapunov stable and to satisfy some sort of detectability condition, it is shown that the estimation error converges exponentially to zero. Finally, a simple numerical example is presented to illustrate the result obtained.

UR - http://www.scopus.com/inward/record.url?scp=1542318371&partnerID=8YFLogxK

U2 - 10.1109/CDC.2003.1272315

DO - 10.1109/CDC.2003.1272315

M3 - Conference contribution

AN - SCOPUS:1542318371

SN - 0780379241

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 6319

EP - 6324

BT - Proceedings of the IEEE Conference on Decision and Control

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 42nd IEEE Conference on Decision and Control

Y2 - 9 December 2003 through 12 December 2003

ER -

Nonlinear Observers for Perspective Time-Invariant Linear Systems

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this