Estimation of unknown inputs, with application to fault detection, via partial hierarchical observation

Francisco J. Bejarano; Leonid Fridman; Alexander Poznyak

doi:10.23919/ecc.2007.7068264

Estimation of unknown inputs, with application to fault detection, via partial hierarchical observation

Francisco J. Bejarano, Leonid Fridman, Alexander Poznyak

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

6 Scopus citations

Abstract

In this manuscript we show that neither left invertibility is a sufficient condition nor strong detectability is a necessary condition for estimating the unknown inputs. Here we show that the necessary and sufficient condition for estimating the unknown inputs is that the invariant zeros of the system not belonging to the set of unobservable eigenvalues have negative real part. For estimating the unknown inputs, we propose a method of design based on the partial state observation, which is made via a hierarchical scheme where a second order (super-twisting) sliding mode is used. This is also applied for the case of fault detection and isolation. We give a numerical example to illustrate the method of design proposed here.

Original language	English
Title of host publication	2007 European Control Conference, ECC 2007
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5154-5161
Number of pages	8
ISBN (Electronic)	9783952417386
DOIs	https://doi.org/10.23919/ecc.2007.7068264
State	Published - 2007
Externally published	Yes
Event	2007 9th European Control Conference, ECC 2007 - Kos, Greece Duration: 2 Jul 2007 → 5 Jul 2007

Publication series

Name	2007 European Control Conference, ECC 2007

Conference

Conference	2007 9th European Control Conference, ECC 2007
Country/Territory	Greece
City	Kos
Period	2/07/07 → 5/07/07

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10.23919/ecc.2007.7068264

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Bejarano, F. J., Fridman, L., & Poznyak, A. (2007). Estimation of unknown inputs, with application to fault detection, via partial hierarchical observation. In 2007 European Control Conference, ECC 2007 (pp. 5154-5161). Article 7068264 (2007 European Control Conference, ECC 2007). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ecc.2007.7068264

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title = "Estimation of unknown inputs, with application to fault detection, via partial hierarchical observation",

abstract = "In this manuscript we show that neither left invertibility is a sufficient condition nor strong detectability is a necessary condition for estimating the unknown inputs. Here we show that the necessary and sufficient condition for estimating the unknown inputs is that the invariant zeros of the system not belonging to the set of unobservable eigenvalues have negative real part. For estimating the unknown inputs, we propose a method of design based on the partial state observation, which is made via a hierarchical scheme where a second order (super-twisting) sliding mode is used. This is also applied for the case of fault detection and isolation. We give a numerical example to illustrate the method of design proposed here.",

author = "Bejarano, {Francisco J.} and Leonid Fridman and Alexander Poznyak",

note = "Publisher Copyright: {\textcopyright} 2007 EUCA.; 2007 9th European Control Conference, ECC 2007 ; Conference date: 02-07-2007 Through 05-07-2007",

year = "2007",

doi = "10.23919/ecc.2007.7068264",

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

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Bejarano, FJ, Fridman, L & Poznyak, A 2007, Estimation of unknown inputs, with application to fault detection, via partial hierarchical observation. in 2007 European Control Conference, ECC 2007., 7068264, 2007 European Control Conference, ECC 2007, Institute of Electrical and Electronics Engineers Inc., pp. 5154-5161, 2007 9th European Control Conference, ECC 2007, Kos, Greece, 2/07/07. https://doi.org/10.23919/ecc.2007.7068264

Estimation of unknown inputs, with application to fault detection, via partial hierarchical observation. / Bejarano, Francisco J.; Fridman, Leonid; Poznyak, Alexander.
2007 European Control Conference, ECC 2007. Institute of Electrical and Electronics Engineers Inc., 2007. p. 5154-5161 7068264 (2007 European Control Conference, ECC 2007).

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

TY - GEN

T1 - Estimation of unknown inputs, with application to fault detection, via partial hierarchical observation

AU - Bejarano, Francisco J.

AU - Fridman, Leonid

AU - Poznyak, Alexander

PY - 2007

Y1 - 2007

N2 - In this manuscript we show that neither left invertibility is a sufficient condition nor strong detectability is a necessary condition for estimating the unknown inputs. Here we show that the necessary and sufficient condition for estimating the unknown inputs is that the invariant zeros of the system not belonging to the set of unobservable eigenvalues have negative real part. For estimating the unknown inputs, we propose a method of design based on the partial state observation, which is made via a hierarchical scheme where a second order (super-twisting) sliding mode is used. This is also applied for the case of fault detection and isolation. We give a numerical example to illustrate the method of design proposed here.

AB - In this manuscript we show that neither left invertibility is a sufficient condition nor strong detectability is a necessary condition for estimating the unknown inputs. Here we show that the necessary and sufficient condition for estimating the unknown inputs is that the invariant zeros of the system not belonging to the set of unobservable eigenvalues have negative real part. For estimating the unknown inputs, we propose a method of design based on the partial state observation, which is made via a hierarchical scheme where a second order (super-twisting) sliding mode is used. This is also applied for the case of fault detection and isolation. We give a numerical example to illustrate the method of design proposed here.

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M3 - Contribución a la conferencia

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T3 - 2007 European Control Conference, ECC 2007

SP - 5154

EP - 5161

BT - 2007 European Control Conference, ECC 2007

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2007 9th European Control Conference, ECC 2007

Y2 - 2 July 2007 through 5 July 2007

ER -

Estimation of unknown inputs, with application to fault detection, via partial hierarchical observation

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