Distance Measures for Strong Observability and Strong Detectability of Systems With Direct Feedthrough

This letter presents distance measures for strong observability and strong detectability of linear, time-invariant systems with direct feedthrough. In contrast to standard binary criteria, the proposed measures allow to quantify these properties numerically. An optimization based approach for calcul...

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Bibliographic Details
Published in:IEEE control systems letters 2021-04, Vol.5 (2), p.565-570
Main Authors: Falkensteiner, Roland, Seeber, Richard, Reichhartinger, Markus, Horn, Martin
Format: Article
Language:English
Subjects:
Controllability
Estimation
Filtering theory
Linear systems
Observability
observers for linear systems
Optimization
Perturbation methods
Reliability
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Summary:This letter presents distance measures for strong observability and strong detectability of linear, time-invariant systems with direct feedthrough. In contrast to standard binary criteria, the proposed measures allow to quantify these properties numerically. An optimization based approach for calculating these measures is derived. Meaningful conditions for such measures are introduced and the properties of the proposed measures regarding these conditions are analyzed. In order to demonstrate their usefulness, the measures are applied to optimal sensor placement for reconstruction of unknown forces on a mechanical structure.
ISSN:2475-1456
2475-1456
DOI:10.1109/LCSYS.2020.3004279