Redundancy Relations for Fault Diagnosis in Nonlinear Uncertain Systems

Authors:
Alexey Shumsky
Affiliations:
Institute for Marine Technology Problems, Far Eastern Branch of the Russian Academy of Sciences, Sukhanova 5a, Vladivostok, 690950, Russia
Venue:
International Journal of Applied Mathematics and Computer Science
Year:
2007

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Abstract

The problem of fault detection and isolation in nonlinear uncertain systems is studied within the scope of the analytical redundancy concept. The problem solution involves checking the redundancy relations existing among measured system inputs and outputs. A novel method is proposed for constructing redundancy relations based on system models described by differential equations whose right-hand sides are polynomials. The method involves a nonlinear transformation of the initial system model into a strict feedback form. Algebraic and geometric tools are used for this transformation. The features of the method are made particular for uncertain systems with a linear structure.