Details
| Original language | English |
|---|---|
| Number of pages | 13 |
| Journal | IEEE Transactions on Automatic Control |
| Publication status | E-pub ahead of print - 23 Oct 2024 |
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.
Keywords
- Detectability, Incremental system properties, Irregular sampling, Nonlinear systems, Observability, State estimation
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Computer Science(all)
- Computer Science Applications
- Engineering(all)
- Electrical and Electronic Engineering
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: IEEE Transactions on Automatic Control, 23.10.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Sample-based nonlinear detectability for discrete-time systems
AU - Krauss, Isabelle
AU - Lopez, Victor G.
AU - Muller, Matthias A.
N1 - Publisher Copyright: © 1963-2012 IEEE.
PY - 2024/10/23
Y1 - 2024/10/23
N2 - 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.
AB - 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.
KW - Detectability
KW - Incremental system properties
KW - Irregular sampling
KW - Nonlinear systems
KW - Observability
KW - State estimation
UR - http://www.scopus.com/inward/record.url?scp=85207439375&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2312.13658
DO - 10.48550/arXiv.2312.13658
M3 - Article
AN - SCOPUS:85207439375
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
ER -