Fault diagnosis viewed as a left invertibility problem

Martínez-Guerra, Rafael; Mata-Machuca, Juan L.; Rincon-Pasaye, J.J.

doi:10.1016/j.isatra.2013.06.001

Cited by 22 publications

(11 citation statements)

References 16 publications

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“…The left invertibility problem has been widely studied and applied to many different problems (going from fault diagnosis (Martinez-Guerra et al, 2013) to cryptographic applications (Vo Tan et al, 2010), etc.). It consists in determining the causal factors (i.e .…”

Section: Srd Methodsmentioning

confidence: 99%

Fault diagnosis via a dynamical sparse recovery method and application to a gearbox system

Derbel

Nicolau

Féki

et al. 2020

Journal of Vibration and Control

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With the ever-increasing complexity and importance of industrial systems, diagnosis techniques allowing to detect, locate, and identify any abnormalities in the system as early as possible have attracted a lot of attention over the past years. In this article, we present a diagnosis method for nonlinear dynamical systems, called sparse recovery diagnosis, based on a dynamical algorithm that estimates a sparse fault vector from few system measurements. The term sparse means that many faults can be considered, but only few of them can occur simultaneously. To illustrate the performances of this diagnosis method, we apply it to a gear power transmission. This dynamical system is among the most important mechanical components in industrial systems. The gear power transmission model considered in this article is composed by a two-stage gear for which we take into account the torsional effect of the gears. Different sensor and mechanical faults perturbing its operating mode will be modeled and detected by the sparse recovery diagnosis method.

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Section: Srd Methodsmentioning

confidence: 99%

Fault diagnosis via a dynamical sparse recovery method and application to a gearbox system

Derbel

Nicolau

Féki

et al. 2020

Journal of Vibration and Control

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“…We employ the differential rank to check system invertibility and explore simple way to compute it. Details of differential output rank definitions can be found in [8]. It is defined that differential output rank is the maximum number of outputs that are related by a differential polynomial equation with coefficients over K (independent of and ).…”

Section: B Checking Invertibilitymentioning

confidence: 99%

“…is the number of outputs, is number of the independent relations, then differential output rank is the number of least independent outputs, which equals: (8) Theorem 2: A system is left-invertible if, and only if the differential output rank is equal to the total number of inputs, e.g.…”

Section: B Checking Invertibilitymentioning

confidence: 99%

“…The use of system inversion for sensor and actuator FDI was first proposed in [5] for linear system, then extended for nonlinear control affine system in [6]. Recently, strategies based on deferential geometry or system inversion have been proposed to deal with FDI for nonlinear systems, see some important representations in the literature of [7] [8][9].…”

Section: Introductionmentioning

confidence: 99%

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Actuator fault detection and isolation via input reconstruction: Application to intensified heat exchanger reactor

Zhang

Dahhou

Cabassud

et al. 2015

2015 23rd Mediterranean Conference on Control and Automation (MED)

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This paper proposes a left invertible cascade nonlinear system structure with a dynamic inversion based input reconstruction laws, forming a novel model-based actuator fault detection and isolation (FDI) algorithm. Actuator is viewed as subsystem connected with the process subsystem in series, thus identifying actuator faults with advancing FDI algorithm in the subsystem whose outputs are assumed unmeasured. The left invertibility of individual subsystem is required for ensuring faults occurred in actuator subsystem can be transmitted to the process subsystem uniquely, and for reconstructing process inputs, also actuator outputs, from measured process outputs. Effectiveness of the proposed approach is demonstrated on an intensified HEX reactor developed by the Laboratoire de Génie Chimique (LGC-Toulouse, France).

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“…In the case of fault diagnosis and unknown input reconstruction for interconnected systems, centralized structure-based fault reconstruction approaches are well investigated, e.g., in Refs. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. A significant approach of FD and FR for dynamic systems are the 2 of 17 observer based methodologies [1][2][3][4][5][6][7], with differential geometry-based techniques also representing another attractive method [8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Observer Based Multi-Level Fault Reconstruction for Interconnected Systems

Zhang

Dahhou

et al. 2021

Entropy

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The problem of local fault (unknown input) reconstruction for interconnected systems is addressed in this paper. This contribution consists of a geometric method which solves the fault reconstruction (FR) problem via observer based and a differential algebraic concept. The fault diagnosis (FD) problem is tackled using the concept of the differential transcendence degree of a differential field extension and the algebraic observability. The goal is to examine whether the fault occurring in the low-level subsystem can be reconstructed correctly by the output at the high-level subsystem under given initial states. By introducing the fault as an additional state of the low subsystem, an observer based approached is proposed to estimate this new state. Particularly, the output of the lower subsystem is assumed unknown, and is considered as auxiliary outputs. Then, the auxiliary outputs are estimated by a sliding mode observer which is generated by using global outputs and inverse techniques. After this, the estimated auxiliary outputs are employed as virtual sensors of the system to generate a reduced-order observer, which is caplable of estimating the fault variable asymptotically. Thus, the purpose of multi-level fault reconstruction is achieved. Numerical simulations on an intensified heat exchanger are presented to illustrate the effectiveness of the proposed approach.

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Fault diagnosis viewed as a left invertibility problem

Cited by 22 publications

References 16 publications

Fault diagnosis via a dynamical sparse recovery method and application to a gearbox system

Fault diagnosis via a dynamical sparse recovery method and application to a gearbox system

Actuator fault detection and isolation via input reconstruction: Application to intensified heat exchanger reactor

Observer Based Multi-Level Fault Reconstruction for Interconnected Systems

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