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Nonlinear diagnostic filter design: algebraic and geometric points of view

100%

Shumsky A., Zhirabok A.

International Journal of Applied Mathematics and Computer Science

2006

tom 16

nr 1

115-127

The problem of diagnostic filter design is studied. Algebraic and geometric approaches to solving this problem are investigated. Some relations between these approaches are established. New definitions of fault detectability and isolability are formulated. On the basis of these definitions, a procedure for diagnostic filter design is given in both algebraic and geometric terms.

Redundancy relations for fault diagnosis in nonlinear uncertain systems

100%

Shumsky A.

International Journal of Applied Mathematics and Computer Science

2007

tom 17

nr 4

477-489

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.

Ograniczanie wyników

2 International Journal of Applied Mathematics and Computer Science

2 Shumsky A.

1 Zhirabok A.

1 2007

1 2006

Wyniki wyszukiwania

Nonlinear diagnostic filter design: algebraic and geometric points of view

Redundancy relations for fault diagnosis in nonlinear uncertain systems