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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

Ligęza A., Kościelny J. M.

International Journal of Applied Mathematics and Computer Science

2008

Vol. 18, no 4

465-476

The diagnosis of multiple faults is significantly more difficult than singular fault diagnosis. However, in realistic industrial systems the possibility of simultaneous occurrence of multiple faults must be taken into account. This paper investigates some of the limitations of the diagnostic model based on the simple binary diagnostic matrix in the case of multiple faults. Several possible interpretations of the diagnostic matrix with rule-based systems are provided and analyzed. A proposal of an extension of the basic, single-level model based on diagnostic matrices to a two-level one, founded on causal analysis and incorporating an OR and an AND matrix is put forward. An approach to the diagnosis of multiple faults based on inconsistency analysis is outlined, and a refinement procedure using a qualitative model of dependencies among system variables is sketched out.

Model-basis diagnosis of dynamic systems

Górny B., Ligęza A.

Journal of Applied Computer Science

2002

Vol. 10, nr 1

23-46

Consistency-based diagnosis falls into the category of model based approaches. In this paper the problem of generation of conflict sets for dynamic systems described with causal graphs is approached. Conflict generation is an important step in model-based diagnosis. The foundations of such a diagnostic approach are constituted by the Reiter's theory concerning consistency-based diagnostic reasoning. This paper is aimed at presenting a discussion of selected problems of conflict generation. A notion of Potential Conflict Structure (PCS) constituting a basic tool for identification of possible conflicts is proposed and its use id discussed. The paper includes elements of algebra of conflict sets.