Sample-based nonlinear detectability for discrete-time systems

authored by

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.

Organisation(s)

Institute of Automatic Control

Type

Article

Journal

IEEE Transactions on Automatic Control

No. of pages

13

ISSN

0018-9286

Publication date

23.10.2024

Publication status

E-pub ahead of print

Peer reviewed

Yes

ASJC Scopus subject areas

Control and Systems Engineering, Computer Science Applications, Electrical and Electronic Engineering

Electronic version(s)

https://doi.org/10.48550/arXiv.2312.13658 (Access: Open)
https://doi.org/10.1109/TAC.2024.3485486 (Access: Closed)