Nonlinear observers for perspective time-invariant linear systems

Rixat Abdursul; Hiroshi Inaba; Bijoy K. Ghosh

doi:10.1016/j.automatica.2003.10.017

Nonlinear observers for perspective time-invariant linear systems

Rixat Abdursul, Hiroshi Inaba, Bijoy K. Ghosh

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

44 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, some simple numerical examples are presented to illustrate the result obtained.

Original language	English
Pages (from-to)	481-490
Number of pages	10
Journal	Automatica
Volume	40
Issue number	3
DOIs	https://doi.org/10.1016/j.automatica.2003.10.017
State	Published - Mar 2004

Keywords

Detectability
Exponential stability
Luenberger-type observer
Machine vision
Nonlinear observer
Perspective system

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10.1016/j.automatica.2003.10.017

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@article{018c4a42ff6846aa9a3d192f5c5cf9ed,

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, some simple numerical examples are presented to illustrate the result obtained.",

keywords = "Detectability, Exponential stability, Luenberger-type observer, Machine vision, Nonlinear observer, Perspective system",

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. ",

year = "2004",

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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 - 2004/3

Y1 - 2004/3

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, some simple numerical examples are 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, some simple numerical examples are presented to illustrate the result obtained.

KW - Detectability

KW - Exponential stability

KW - Luenberger-type observer

KW - Machine vision

KW - Nonlinear observer

KW - Perspective system

UR - http://www.scopus.com/inward/record.url?scp=1642444076&partnerID=8YFLogxK

U2 - 10.1016/j.automatica.2003.10.017

DO - 10.1016/j.automatica.2003.10.017

M3 - Article

AN - SCOPUS:1642444076

SN - 0005-1098

VL - 40

SP - 481

EP - 490

JO - Automatica

JF - Automatica

IS - 3

ER -

Nonlinear observers for perspective time-invariant linear systems

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Keywords

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