Sample-based nonlinear detectability for discrete-time systems

verfasst von

Isabelle Krauss, Victor G. Lopez, Matthias A. Muller

Abstract

This paper introduces two sample-based formulations of incremental input/output-to-state stability (i' IOSS), a suitable detectability notion for general nonlinear systems. In this work we consider the case of limited output information, i.e., measurements are only infrequently and/or irregularly available. The output-dependent term of the sample-based i' IOSS bound is properly modified to yield a characterization for detectability in presence of incomplete output sequences. We provide both a non-time-discounted and a time-discounted formulation of sample-based i' IOSS. Furthermore, conditions for an i' IOSS system to be also sample-based i' IOSS are given and the relation between the two formulations of sample-based i' IOSS is shown.

Organisationseinheit(en)

Institut für Regelungstechnik

Typ

Artikel

Journal

IEEE Transactions on Automatic Control

Anzahl der Seiten

13

ISSN

0018-9286

Publikationsdatum

23.10.2024

Publikationsstatus

Elektronisch veröffentlicht (E-Pub)

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Steuerungs- und Systemtechnik, Angewandte Informatik, Elektrotechnik und Elektronik

Elektronische Version(en)

https://doi.org/10.48550/arXiv.2312.13658 (Zugang: Offen)
https://doi.org/10.1109/TAC.2024.3485486 (Zugang: Geschlossen)