State Estimation for a Class of Singular Systems Using Shifted Legendre Polynomials
For linear time-invariant continuous-time singular systems, two new simple approaches, the Kronecker method and the recursive method, are developed in order to estimate the states from the system input-output information via shifted Legendre polynomials (SLP) and a simple observer in the descriptor...
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| Format: | Article |
| Language: | English |
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OICC Press
2024-02-01
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| Series: | Majlesi Journal of Electrical Engineering |
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| Online Access: | https://oiccpress.com/mjee/article/view/4760 |
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| _version_ | 1849767763615154176 |
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| author | Zahra Razavinasab Mohammad Ali Vali Mahmoud Samavat |
| author_facet | Zahra Razavinasab Mohammad Ali Vali Mahmoud Samavat |
| author_sort | Zahra Razavinasab |
| collection | DOAJ |
| description | For linear time-invariant continuous-time singular systems, two new simple approaches, the Kronecker method and the recursive method, are developed in order to estimate the states from the system input-output information via shifted Legendre polynomials (SLP) and a simple observer in the descriptor form. Sufficient conditions for the existence of the present observer are given. The two methods simplify the system of state equations into the solution of a set of linear algebraic equations. Furthermore, the proposed algorithms can be easily implemented in a digital computer and the solutions can be obtained for any length of time. Further, these approaches include the filtering and the smoothing effect which can reduce the influence of zero-mean measurement noise on estimation. Simulation results of a given numerical example demonstrate the effect of the proposed approaches. |
| format | Article |
| id | doaj-art-23bc8cd8d0964106a59c4f0d8135ff48 |
| institution | DOAJ |
| issn | 2345-377X 2345-3796 |
| language | English |
| publishDate | 2024-02-01 |
| publisher | OICC Press |
| record_format | Article |
| series | Majlesi Journal of Electrical Engineering |
| spelling | doaj-art-23bc8cd8d0964106a59c4f0d8135ff482025-08-20T03:04:03ZengOICC PressMajlesi Journal of Electrical Engineering2345-377X2345-37962024-02-01103State Estimation for a Class of Singular Systems Using Shifted Legendre PolynomialsZahra Razavinasab0Mohammad Ali Vali1Mahmoud Samavat2Shahid Bahonar University of KermanShahid Bahonar University of KermanShahid Bahonar University of KermanFor linear time-invariant continuous-time singular systems, two new simple approaches, the Kronecker method and the recursive method, are developed in order to estimate the states from the system input-output information via shifted Legendre polynomials (SLP) and a simple observer in the descriptor form. Sufficient conditions for the existence of the present observer are given. The two methods simplify the system of state equations into the solution of a set of linear algebraic equations. Furthermore, the proposed algorithms can be easily implemented in a digital computer and the solutions can be obtained for any length of time. Further, these approaches include the filtering and the smoothing effect which can reduce the influence of zero-mean measurement noise on estimation. Simulation results of a given numerical example demonstrate the effect of the proposed approaches.https://oiccpress.com/mjee/article/view/4760Descriptor observerShifted Legendre polynomialsSingular systemsState estimation. |
| spellingShingle | Zahra Razavinasab Mohammad Ali Vali Mahmoud Samavat State Estimation for a Class of Singular Systems Using Shifted Legendre Polynomials Majlesi Journal of Electrical Engineering Descriptor observer Shifted Legendre polynomials Singular systems State estimation. |
| title | State Estimation for a Class of Singular Systems Using Shifted Legendre Polynomials |
| title_full | State Estimation for a Class of Singular Systems Using Shifted Legendre Polynomials |
| title_fullStr | State Estimation for a Class of Singular Systems Using Shifted Legendre Polynomials |
| title_full_unstemmed | State Estimation for a Class of Singular Systems Using Shifted Legendre Polynomials |
| title_short | State Estimation for a Class of Singular Systems Using Shifted Legendre Polynomials |
| title_sort | state estimation for a class of singular systems using shifted legendre polynomials |
| topic | Descriptor observer Shifted Legendre polynomials Singular systems State estimation. |
| url | https://oiccpress.com/mjee/article/view/4760 |
| work_keys_str_mv | AT zahrarazavinasab stateestimationforaclassofsingularsystemsusingshiftedlegendrepolynomials AT mohammadalivali stateestimationforaclassofsingularsystemsusingshiftedlegendrepolynomials AT mahmoudsamavat stateestimationforaclassofsingularsystemsusingshiftedlegendrepolynomials |