On some ways to implement state-multiplicative fault detection in discrete-time linear systems

Krokavec, Dušan ; Filasová, Anna

International Journal of Applied Mathematics and Computer Science, Tome 32 (2022) no. 2, pp. 229-240.

Résumé

New design conditions on the observer based residual filter design for the linear discrete-time linear systems with zoned system parameter faults are presented. With respect to time evolution of residual signals and with a guarantee of their robustness, the design task is stated in terms of linear matrix inequalities, while the recursive implementation of algorithms is motivated by the platform existence for real-time processing. A major objective is to analyze the configuration required and, in particular, a new characterization of the norm boundaries of the multiplicative zonal parametric faults to be projected onto the structure of the set of linear matrix inequalities.

Détail

Keywords: linear discrete time system, state multiplicative fault, Luenberger observer, residual filter, linear matrix inequalities
Mots-clés : liniowy układ dyskretny, obserwator Luenbergera, liniowe nierówności macierzowe

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