International Journal of Applied Mathematics and Computer Science (Jun 2022)

On Some Ways to Implement State–Multiplicative Fault Detection in Discrete–Time Linear Systems

  • Krokavec San,
  • Filasová Anna

DOI
https://doi.org/10.34768/amcs-2022-0017
Journal volume & issue
Vol. 32, no. 2
pp. 229 – 240

Abstract

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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.

Keywords