Partial Causal Detectability of Linear Descriptor Systems and Existence of Functional ODE Estimators
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913348697718784 |
|---|---|
| author | Jaiswal, Juhi Berger, Thomas Tomar, Nutan K. |
| author_facet | Jaiswal, Juhi Berger, Thomas Tomar, Nutan K. |
| contents | This paper studies the problem of state estimation for linear time-invariant descriptor systems in their most general form. The estimator is a system of ordinary differential equations (ODEs). We introduce the notion of partial causal detectability and characterize this concept by means of a simple rank criterion involving the system coefficient matrices. Also, several equivalent characterizations for partial causal detectability are established. In addition, we prove that partial causal detectability is equivalent to the existence of functional ODE estimators. A numerical example is given to validate the theoretical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07968 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Partial Causal Detectability of Linear Descriptor Systems and Existence of Functional ODE Estimators Jaiswal, Juhi Berger, Thomas Tomar, Nutan K. Optimization and Control 93C05 93B53 93B07 34A09 This paper studies the problem of state estimation for linear time-invariant descriptor systems in their most general form. The estimator is a system of ordinary differential equations (ODEs). We introduce the notion of partial causal detectability and characterize this concept by means of a simple rank criterion involving the system coefficient matrices. Also, several equivalent characterizations for partial causal detectability are established. In addition, we prove that partial causal detectability is equivalent to the existence of functional ODE estimators. A numerical example is given to validate the theoretical results. |
| title | Partial Causal Detectability of Linear Descriptor Systems and Existence of Functional ODE Estimators |
| topic | Optimization and Control 93C05 93B53 93B07 34A09 |
| url | https://arxiv.org/abs/2405.07968 |