High-order sliding-mode observation and fault detection via weakly unobservable subspace reconstruction

Leonid Fridman; Jorge Davila; Arie Levant

doi:10.23919/ecc.2007.7068612

High-order sliding-mode observation and fault detection via weakly unobservable subspace reconstruction

Leonid Fridman, Jorge Davila, Arie Levant

School of Mathematical Sciences

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

Abstract

A high-order sliding-mode observer is designed for linear time invariant systems with bounded unknown inputs. It provides the global observation of the state under sufficient and necessary conditions of strong observability or strong detectability. The observation is finite-time-convergent and exact in the strongly observable case and asymptotically exact in the strongly detectable case. An unknown input identification algorithm is proposed with finite time convergence for the strongly observable case, and asymptotic convergence for the strongly detectable case. Necessary and sufficient conditions for unknown input identification are given. The unknown input identification algorithm is applied for fault detection. The case of sensor-faults detection is considered without filtration.

Original language	English
Title of host publication	2007 European Control Conference, ECC 2007
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5139-5146
Number of pages	8
ISBN (Electronic)	9783952417386
DOIs	https://doi.org/10.23919/ecc.2007.7068612
State	Published - 2007
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.2007.7068612

Cite this

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title = "High-order sliding-mode observation and fault detection via weakly unobservable subspace reconstruction",

abstract = "A high-order sliding-mode observer is designed for linear time invariant systems with bounded unknown inputs. It provides the global observation of the state under sufficient and necessary conditions of strong observability or strong detectability. The observation is finite-time-convergent and exact in the strongly observable case and asymptotically exact in the strongly detectable case. An unknown input identification algorithm is proposed with finite time convergence for the strongly observable case, and asymptotic convergence for the strongly detectable case. Necessary and sufficient conditions for unknown input identification are given. The unknown input identification algorithm is applied for fault detection. The case of sensor-faults detection is considered without filtration.",

author = "Leonid Fridman and Jorge Davila and Arie Levant",

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year = "2007",

doi = "10.23919/ecc.2007.7068612",

language = "אנגלית",

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Fridman, L, Davila, J & Levant, A 2007, High-order sliding-mode observation and fault detection via weakly unobservable subspace reconstruction. in 2007 European Control Conference, ECC 2007., 7068612, 2007 European Control Conference, ECC 2007, Institute of Electrical and Electronics Engineers Inc., pp. 5139-5146, 2007 9th European Control Conference, ECC 2007, Kos, Greece, 2/07/07. https://doi.org/10.23919/ecc.2007.7068612

High-order sliding-mode observation and fault detection via weakly unobservable subspace reconstruction. / Fridman, Leonid; Davila, Jorge; Levant, Arie.

2007 European Control Conference, ECC 2007. Institute of Electrical and Electronics Engineers Inc., 2007. p. 5139-5146 7068612 (2007 European Control Conference, ECC 2007).

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

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AB - A high-order sliding-mode observer is designed for linear time invariant systems with bounded unknown inputs. It provides the global observation of the state under sufficient and necessary conditions of strong observability or strong detectability. The observation is finite-time-convergent and exact in the strongly observable case and asymptotically exact in the strongly detectable case. An unknown input identification algorithm is proposed with finite time convergence for the strongly observable case, and asymptotic convergence for the strongly detectable case. Necessary and sufficient conditions for unknown input identification are given. The unknown input identification algorithm is applied for fault detection. The case of sensor-faults detection is considered without filtration.

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High-order sliding-mode observation and fault detection via weakly unobservable subspace reconstruction

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