A Contribution in the Observer Design for a Class of Bilinear Singular Delayed Systems
This paper proposes a functional observer for a bilinear singular systems with constant time delay present in both state and known input vectors. The considered system has transformed to an updated form in order to estimate both a state vector and an unknown inputs functional vector independently fr...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2022-01-01
|
| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9667538/ |
| _version_ | 1798040398156791808 |
|---|---|
| author | Fatma Hamzaoui Malek Khadhraoui Hassani Messaoud |
| author_facet | Fatma Hamzaoui Malek Khadhraoui Hassani Messaoud |
| author_sort | Fatma Hamzaoui |
| collection | DOAJ |
| description | This paper proposes a functional observer for a bilinear singular systems with constant time delay present in both state and known input vectors. The considered system has transformed to an updated form in order to estimate both a state vector and an unknown inputs functional vector independently from the considered time delay. The necessary conditions for the existence of the functional observer are formulated. The proposed observer design procedure is based on the Lyapunov–Krasovskii theory. Numerical example is given to prove the new approach. |
| first_indexed | 2024-04-11T22:07:05Z |
| format | Article |
| id | doaj.art-6357e1b7c8d344bf971ed0a835c8bea4 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-11T22:07:05Z |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-6357e1b7c8d344bf971ed0a835c8bea42022-12-22T04:00:40ZengIEEEIEEE Access2169-35362022-01-01103807381310.1109/ACCESS.2021.31401379667538A Contribution in the Observer Design for a Class of Bilinear Singular Delayed SystemsFatma Hamzaoui0https://orcid.org/0000-0002-5450-0495Malek Khadhraoui1https://orcid.org/0000-0002-0688-8165Hassani Messaoud2https://orcid.org/0000-0002-6971-2298Research Laboratory LARATSI, National Engineering School of Monastir (ENIM), University of Monastir Tunisia, Monastir, TunisiaResearch Laboratory LARATSI, National Engineering School of Monastir (ENIM), University of Monastir Tunisia, Monastir, TunisiaResearch Laboratory LARATSI, National Engineering School of Monastir (ENIM), University of Monastir Tunisia, Monastir, TunisiaThis paper proposes a functional observer for a bilinear singular systems with constant time delay present in both state and known input vectors. The considered system has transformed to an updated form in order to estimate both a state vector and an unknown inputs functional vector independently from the considered time delay. The necessary conditions for the existence of the functional observer are formulated. The proposed observer design procedure is based on the Lyapunov–Krasovskii theory. Numerical example is given to prove the new approach.https://ieeexplore.ieee.org/document/9667538/Singularbilineartime delayunknown inputsfunctional observer |
| spellingShingle | Fatma Hamzaoui Malek Khadhraoui Hassani Messaoud A Contribution in the Observer Design for a Class of Bilinear Singular Delayed Systems IEEE Access Singular bilinear time delay unknown inputs functional observer |
| title | A Contribution in the Observer Design for a Class of Bilinear Singular Delayed Systems |
| title_full | A Contribution in the Observer Design for a Class of Bilinear Singular Delayed Systems |
| title_fullStr | A Contribution in the Observer Design for a Class of Bilinear Singular Delayed Systems |
| title_full_unstemmed | A Contribution in the Observer Design for a Class of Bilinear Singular Delayed Systems |
| title_short | A Contribution in the Observer Design for a Class of Bilinear Singular Delayed Systems |
| title_sort | contribution in the observer design for a class of bilinear singular delayed systems |
| topic | Singular bilinear time delay unknown inputs functional observer |
| url | https://ieeexplore.ieee.org/document/9667538/ |
| work_keys_str_mv | AT fatmahamzaoui acontributionintheobserverdesignforaclassofbilinearsingulardelayedsystems AT malekkhadhraoui acontributionintheobserverdesignforaclassofbilinearsingulardelayedsystems AT hassanimessaoud acontributionintheobserverdesignforaclassofbilinearsingulardelayedsystems AT fatmahamzaoui contributionintheobserverdesignforaclassofbilinearsingulardelayedsystems AT malekkhadhraoui contributionintheobserverdesignforaclassofbilinearsingulardelayedsystems AT hassanimessaoud contributionintheobserverdesignforaclassofbilinearsingulardelayedsystems |