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Redundancy relations for fault diagnosis in nonlinear uncertain systems. (English) Zbl 1228.62129
Summary: 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.

MSC:
62N05 Reliability and life testing
93A30 Mathematical modelling of systems (MSC2010)
37N99 Applications of dynamical systems
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