A New Approach to Multiple Fault Diagnosis: A Combination of Diagnostic Matrices, Graphs, Algebraic and Rule-Based Models. The Case of Two-Layer Models

Ligęza, Antoni; Kościelny, Jan Maciej

doi:10.2478/v10006-008-0041-8

Cited by 25 publications

(7 citation statements)

References 12 publications

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“…Kościelny and Z.M. Łabęda-Grudziak Reiter (1987) allow isolating single and multiple faults (de Kleer and Williams, 1987;Górny, 2001;Hamscher et al, 1992;Hwee, 1991;de Kleer and Kurien, 2003;Daigle et al, 2006;Ligęza and Kościelny, 2008). The diagnoses are generated as minimal hitting sets of all the minimal conflict sets.…”

Section: X(t) = φ[X(t) U(t)] Y(t) = ψ[X(t) U(t)]mentioning

confidence: 99%

Double fault distinguishability in linear systems

Koźcielny

Łabźda-Grudziak

2013

International Journal of Applied Mathematics and Computer Science

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This paper develops a new approach to double fault isolation in linear systems with the aid of directional residuals. The method of residual generation for computational as well as internal forms is applied. Isolation of double faults is based on the investigation of the coplanarity of the residual vector with the planes defined by the individual pairs of directional fault vectors. Additionally, the method of designing secondary residuals, which are structured and directional, is proposed. These transformations allow achieving various isolation properties. It is shown that double fault distinguishability can be improved by decomposing the observed residual vector along the response directions. The described methods are illustrated with a simple computational example.

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Section: X(t) = φ[X(t) U(t)] Y(t) = ψ[X(t) U(t)]mentioning

confidence: 99%

Double fault distinguishability in linear systems

Koźcielny

Łabźda-Grudziak

2013

International Journal of Applied Mathematics and Computer Science

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“…De Kleer and Williams have independently implemented General Diagnostic Engine (GDE) which also has the similar ideas [2]. A lot of good practical works have been developed from their theory, [12], [18] and [19]. There is a review about all these diagnostic notions in [11].…”

Section: Introductionmentioning

confidence: 99%

An extended qualitative multi-faults diagnosis from first principles I: Theory and modelling

Gehin

Bayart

2009

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) Held Jointly With 2009 28th Chinese Control Conference

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This paper is part I of a two part effort that is intended to present a framework of multi-faults diagnosis. Reiter [14] has proposed a consistency-based approach for multi-faults diagnosis. We extend his theory to deal with the dynamic and continuous systems and offer a necessary assumption and a formal demonstration. Multi-faults diagnosis is a partially observable problem because there is usually not enough information about faults. So the STRIPS, a classic technique of automated planning, is chosen to build the system model. It provides the reasoning ability for the multi-faults diagnosis when diagnosis is formalized as reasoning from effects to causes with causal knowledge.

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“…The most common method of studying the simplification of a directed graph is to focus on the most strongly connected components or to focus on the distribution of the directed edges (Balakrishnan, 1997;Berge, 2001), and various methods of analysis have been performed (Aracena and Gomez, 2013;Yang et al, 2012;Ligęza and Kościelny, 2008;Prelim and Demongeot, 2013). The method we propose (see (1a) and (1b)) is entirely different from the one that is currently being used.…”

Section: Introductionmentioning

confidence: 99%

A method of constructing the frame of a directed graph

Hofuku

Oshima

2013

International Journal of Applied Mathematics and Computer Science

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In web search engines, such as Google, the ranking of a particular keyword is determined by mathematical tools, e.g., Pagerank or Hits. However, as the size of the network increases, it becomes increasingly difficult to use keyword ranking to quickly find the information required by an individual user. One reason for this phenomenon is the interference of superfluous information with the link structure. The World Wide Web can be expressed as an enormous directed graph. The purpose of the present study is to provide tools for studying the web as a directed graph in order to find clues to the solution of the problem of interference from superfluous information, and to reform the directed graph to clarify the relationships between the nodes.

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A New Approach to Multiple Fault Diagnosis: A Combination of Diagnostic Matrices, Graphs, Algebraic and Rule-Based Models. The Case of Two-Layer Models

Cited by 25 publications

References 12 publications

Double fault distinguishability in linear systems

Double fault distinguishability in linear systems

An extended qualitative multi-faults diagnosis from first principles I: Theory and modelling

A method of constructing the frame of a directed graph

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