<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

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

Department of Cybernetics and Artificial Intelligence

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

New design conditions on the observer based residual filter design for the linear discrete-time linear systems with zoned system parameter faults are...

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

Published Online: Jul 04, 2022

Page range: 229 - 240

Received: Dec 19, 2021

Accepted: Apr 20, 2022

DOI: https://doi.org/10.34768/amcs-2022-0017

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

© 2022 San Krokavec et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Jul 04, 2022

Page range: 229 - 240

Received: Dec 19, 2021

Accepted: Apr 20, 2022

DOI: https://doi.org/10.34768/amcs-2022-0017

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

© 2022 San Krokavec et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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