International Journal of applied mathematics and computer science

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Paper details

Number 2 - June 2022
Volume 32 - 2022

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

Dušan Krokavec, Anna Filasová

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.

linear discrete-time systems, state-multiplicative faults, Luenberger observers, residual filters, linear matrix inequalities