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Input reconstruction by means of system inversion: A geometric approach to fault detection and isolation in nonlinear systems

Edelmayer A., Bokor J., Szabo Z., Szigeti F.

International Journal of Applied Mathematics and Computer Science

2004

Vol. 14, no 2

189-199

In this paper the classical detection filter design problem is considered as an input reconstruction problem. Input reconstruction is viewed as a dynamic inversion problem. This approach is based on the existence of the left inverse and arrives at detector architectures whose outputs are the fault signals while the inputs are the measured system inputs and outputs and possibly their time derivatives. The paper gives a brief summary of the properties and existence of the inverse for linear and nonlinear multivariable systems. A view of the inversion-based input reconstruction with special emphasis on the aspects of fault detection and isolation by using invariant subspaces and the results of classical geometrical systems theory is provided. The applicability of the idea to fault reconstruction is demonstrated through examples.

Preisach models of ferromagnetic hysteresis

Ivany A., Fuzi J., Szabo Z.

Przegląd Elektrotechniczny

2003

R. 79, nr 3(1)

145-150

In the paper the basic idea of the classical Preisach model is introduced and extended to vector realization of the hysteresis characteristic in case if vectors of the magnetic field intensity and the magnetization are not coincident. A procedure for determination of the parameters from measured data is presented and its efficiency is proved as well.

Przedstawiono ideę modelu histerezy zaproponowaną przez Preisacha i jej rozszerzenie dla przypadku gdy wektory indukcji i natężenia pola magnetycznego nie są w koincydencji. Opisano procedurę określania parametrów modelu na podstawie danych eksperymentalnych.

Godynamic aspects of gravity

Szabo Z., Pancsics Z.

Reports on Geodesy

1998

z. 5/35

35-44