Diagnostics of faulty states in complex physical systems using fuzzy relational equations

ABSTRACT The paper presents a method for diagnostics of physical system failures based on the fuzzy relational equation with the max-mm composition. The heuristic algorithm for inverse problem solving is briefly described. Since proper description of the plant properties is significant to increase efficiency of the diagnostics two versions of the relationship matrix extension are proposed. The first one considers different directions of failure and symptom deviations from their nominal values. The second one deals with on-line extensions of the relationship matrix in a case of unexpected failure occurrence. Finally the diagnostic system with some elements of fuzzy logic is discussed in order to improve man-machine communications. For test purposes the systems have been applied for failure analysis of the THTR-300 nuclear power plant modelled by a computer code.

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