Characterization of the minimum detectable fault of interval observers by using set-invariance theory

Pourasghar, Masoud; Puig, Vicenç; Ocampo‐Martínez, Carlos

doi:10.1109/systol.2016.7739732

Cited by 10 publications

(4 citation statements)

References 18 publications

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“…This is the drawback with all set-based methods (Puig et al, 2006). This problem has been addressed in some other references by computing minimum detectable faults (Pourasghar, Puig, & Ocampo-Martinez, 2016). F u (t) and F y (t) are actuator and sensor faults, respectively.…”

Section: Interval Observer Approachmentioning

confidence: 99%

Fault detection and isolation using viability theory and interval observers

Zarch

Puig

Poshtan

et al. 2018

International Journal of Systems Science

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This paper proposes the use of interval observers and viability theory in fault detection and isolation (FDI). Viability theory develops mathematical and algorithmic methods for investigating the viability constraints characterisation of dynamic evolutions of complex systems under uncertainty. These methods can be used for checking the consistency between observed and predicted behaviour by using simple sets that approximate the exact set of possible behaviour (in the parameter or state space). In this paper, FDI is based on checking for an inconsistency between the measured and predicted behaviours using viability theory concepts and sets. Finally, an example is provided in order to show the usefulness of the proposed approach.

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Section: Interval Observer Approachmentioning

confidence: 99%

Fault detection and isolation using viability theory and interval observers

Zarch

Puig

Poshtan

et al. 2018

International Journal of Systems Science

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“…The second approach to characterize the minimum detectable faults is based on the set-invariance approach extending the results presented in Pourasghar et al (2016).…”

Section: Interval Observer Approachmentioning

confidence: 99%

Observer-based Sensor Fault Detectability: About Robust Positive Invariance Approach and Residual Sensitivity

Kodakkadan¹,

Pourasghar²,

Puig³

et al. 2017

IFAC-PapersOnLine

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Abstract:This paper considers detectability of deviation of sensors from their nominal behavior for a class of linear time-invariant discrete-time systems in the presence of bounded additive uncertainties. Detectable sensor faults using interval observers are analyzed considering two distinct approaches: invariant-sets and classical fault-sensitivity method. It can be inferred from this analysis that both approaches derive distinct formulations for minimum detectable fault magnitude, though qualitatively similar. The core difference lies in the method of construction of the invariant set offline in the former method and the reachable approximation of the convergence set using forward iterative techniques in the latter. This paper also contributes in giving a formulation for minimum fault magnitudes with invariant sets using an observer-based approach. Finally, an illustrative example is used to compare both approaches.

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“…In [35] , the relationship between the classical observer-based and the set-invariance approaches in FD is proposed. Then, in [38][39][40] , the characterization of the minimum magnitude of the fault that can be detected is computed by using both the observer-based and set-invariance approaches. However, there has been few discussion about the combination of the mentioned approaches.…”

Section: Introductionmentioning

confidence: 99%

Characterisation of interval-observer fault detection and isolation properties using the set-invariance approach

Pourasghar

Puig

Ocampo‐Martínez

2020

Journal of the Franklin Institute

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The aim of this paper is to provide a robust Fault Detection and Isolation (FDI) approach that combines the set-invariance approach with a zonotopic interval observer. The effect of the uncertainty is taken into account considering zonotopic-set representations in both the transient and steady states. The set-invariance approach is used to characterize the fault detectability and isolability properties in the steady-state operation of the system. In particular, the Minimum Detectable Fault (MDF) and the Minimum Isolable Fault (MIF) are characterized for several type of faults in separate formulations utilizing the integration of classical sensitivity analysis and set-invariance approaches. Finally, a simulation example based on a two-tanks system is employed to both illustrate and discuss the effectiveness of the proposed approach.

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Characterization of the minimum detectable fault of interval observers by using set-invariance theory

Cited by 10 publications

References 18 publications

Fault detection and isolation using viability theory and interval observers

Fault detection and isolation using viability theory and interval observers

Observer-based Sensor Fault Detectability: About Robust Positive Invariance Approach and Residual Sensitivity

Characterisation of interval-observer fault detection and isolation properties using the set-invariance approach

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