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FAULT IDENTIFICATION BASED ON SLIDING MODE OBSERVERS WITH RELAXED EXISTENCE CONDITIONS

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The problem of fault identification in technical systems described by linear differential equations under disturbances is considered. To solve the problem, sliding mode observers are used. The proposed approach is based on a reduced-order model of the original system selectively sensitive to faults and disturbances. Instead of the original system, the sliding mode observer is constructed based on the reduced-order model. The main purpose of introducing such a model is to weaken the conditions for the existence of sliding observers in comparison with the known works; another purpose is to decrease in the dimension of the constructed sliding observers. The conditions relaxation is achieved since the reduced-order model may not have the properties of the original system, which prevent the possibility of constructing a sliding observer for it. The stated theoretical considerations are illustrated by an example.

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