Details
| Original language | English |
|---|---|
| Pages (from-to) | 2422 - 2434 |
| Number of pages | 13 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 70 |
| Issue number | 4 |
| Early online date | 23 Oct 2024 |
| Publication status | Published - 31 Mar 2025 |
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, incremental system properties, nonlinear systems, state estimation, observability, irregular sampling
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Computer Science(all)
- Computer Science Applications
- Engineering(all)
- Electrical and Electronic Engineering
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In: IEEE Transactions on Automatic Control, Vol. 70, No. 4, 31.03.2025, p. 2422 - 2434.
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 - 2025/3/31
Y1 - 2025/3/31
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
KW - incremental system properties
KW - nonlinear systems
KW - state estimation
KW - observability
KW - irregular sampling
UR - http://www.scopus.com/inward/record.url?scp=85207439375&partnerID=8YFLogxK
U2 - 10.1109/TAC.2024.3485486
DO - 10.1109/TAC.2024.3485486
M3 - Article
VL - 70
SP - 2422
EP - 2434
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 4
ER -