Observers for unobservable linear systems
Observers for unobservable linear systems ẋ = Ax + Bu, y = Cx, x = x (t) ∈ ℜn, u = u (t) ∈ ℜm, y = y(t) ∈ Rp are proposed. It is shown that there exist full-order and reduced-order observers for systems satisfying the condition rank [A C] = n. Procedures for computation of the matrices of the observ...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Polish Academy of Sciences
2025-03-01
|
| Series: | Archives of Control Sciences |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/134370/PDF/art06.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849774170279247872 |
|---|---|
| author | Tadeusz Kaczorek |
| author_facet | Tadeusz Kaczorek |
| author_sort | Tadeusz Kaczorek |
| collection | DOAJ |
| description | Observers for unobservable linear systems ẋ = Ax + Bu, y = Cx, x = x (t) ∈ ℜn, u = u (t) ∈ ℜm, y = y(t) ∈ Rp are proposed. It is shown that there exist full-order and reduced-order observers for systems satisfying the condition rank [A C] = n. Procedures for computation of the matrices of the observers are given and illustrated by numerical examples. |
| format | Article |
| id | doaj-art-7abbdb9ccde445bbaab8e2d8a7213ce3 |
| institution | DOAJ |
| issn | 1230-2384 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Control Sciences |
| spelling | doaj-art-7abbdb9ccde445bbaab8e2d8a7213ce32025-08-20T03:01:49ZengPolish Academy of SciencesArchives of Control Sciences1230-23842025-03-01Vol. 35No 1145154https://doi.org/10.24425/acs.2025.153961Observers for unobservable linear systemsTadeusz Kaczorek0Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351 Białystok, PolandObservers for unobservable linear systems ẋ = Ax + Bu, y = Cx, x = x (t) ∈ ℜn, u = u (t) ∈ ℜm, y = y(t) ∈ Rp are proposed. It is shown that there exist full-order and reduced-order observers for systems satisfying the condition rank [A C] = n. Procedures for computation of the matrices of the observers are given and illustrated by numerical examples.https://journals.pan.pl/Content/134370/PDF/art06.pdfobservability, eigenvalues assignment, linear system, feedback, procedure |
| spellingShingle | Tadeusz Kaczorek Observers for unobservable linear systems Archives of Control Sciences observability, eigenvalues assignment, linear system, feedback, procedure |
| title | Observers for unobservable linear systems |
| title_full | Observers for unobservable linear systems |
| title_fullStr | Observers for unobservable linear systems |
| title_full_unstemmed | Observers for unobservable linear systems |
| title_short | Observers for unobservable linear systems |
| title_sort | observers for unobservable linear systems |
| topic | observability, eigenvalues assignment, linear system, feedback, procedure |
| url | https://journals.pan.pl/Content/134370/PDF/art06.pdf |
| work_keys_str_mv | AT tadeuszkaczorek observersforunobservablelinearsystems |