2012 |
Aoun, Mohamed; Najar, Slaheddine; Abdelhamid, Moufida; Abdelkrim, Mohamed Naceur Continuous fractional Kalman filter Conférence 2012, (Cited by: 4). Résumé | Liens | BibTeX | Étiquettes: Continuous time, Fractional differentiation, Fractional model, Kalman filters, Linear systems, Numerical example, State estimation, Suboptimal filter @conference{Aoun2012b,This paper develops a new Kalman filter for linear systems described with continuous time fractional model. It extends the classical Kalman filter to deals with fractional differentiation. It is called continuous fractional Kalman Filter. The algorithm of the new filter is detailed and a suboptimal filter can be deduced. A numerical example illustrates the state estimation of a fractional model with the new filter. © 2012 IEEE. |
Aoun, Mohamed; Najar, Slaheddine; Abdelhamid, Moufida; Abdelkrim, Mohamed Naceur Continuous fractional Kalman filter Conférence 2012, (Cited by: 4). Résumé | Liens | BibTeX | Étiquettes: Continuous time, Fractional differentiation, Fractional model, Kalman filters, Linear systems, Numerical example, State estimation, Suboptimal filter @conference{Aoun2012,This paper develops a new Kalman filter for linear systems described with continuous time fractional model. It extends the classical Kalman filter to deals with fractional differentiation. It is called continuous fractional Kalman Filter. The algorithm of the new filter is detailed and a suboptimal filter can be deduced. A numerical example illustrates the state estimation of a fractional model with the new filter. © 2012 IEEE. |
2009 |
Abdelhamid, Moufida; Aoun, Mohamed; Najar, Slaheddine; Abdelhamid, Mohamed Naceur Discrete fractional Kalman filter Conférence vol. 2, no. PART 1, 2009, (Cited by: 20; All Open Access, Bronze Open Access). Résumé | Liens | BibTeX | Étiquettes: Algorithms, Discrete time control systems, Discrete-time Kalman filters, Fractional differentiation, Fractional Kalman filter, Fractional kalman filters, Fractional systems, Intelligent control, Kalman filters, Linear state estimation, Numerical example, Signal processing, State estimation @conference{Abdelhamid2009b,This paper presents a generalization of the classical discrete time Kalman filter algorithm to the case of the fractional systems. Motivations for the use of this filter are given and the algorithm is detailed. The document also shows a simple numerical example of linear state estimation. Copyright © 2007 International Federation of Automatic Control. |
Abdelhamid, Moufida; Aoun, Mohamed; Najar, Slaheddine; Abdelhamid, Mohamed Naceur Discrete fractional Kalman filter Conférence vol. 2, no. PART 1, 2009, (Cited by: 20; All Open Access, Bronze Open Access). Résumé | Liens | BibTeX | Étiquettes: Algorithms, Discrete time control systems, Discrete-time Kalman filters, Fractional differentiation, Fractional Kalman filter, Fractional kalman filters, Fractional systems, Intelligent control, Kalman filters, Linear state estimation, Numerical example, Signal processing, State estimation @conference{Abdelhamid2009,This paper presents a generalization of the classical discrete time Kalman filter algorithm to the case of the fractional systems. Motivations for the use of this filter are given and the algorithm is detailed. The document also shows a simple numerical example of linear state estimation. Copyright © 2007 International Federation of Automatic Control. |
Publications
2012 |
Continuous fractional Kalman filter Conférence 2012, (Cited by: 4). |
Continuous fractional Kalman filter Conférence 2012, (Cited by: 4). |
2009 |
Discrete fractional Kalman filter Conférence vol. 2, no. PART 1, 2009, (Cited by: 20; All Open Access, Bronze Open Access). |
Discrete fractional Kalman filter Conférence vol. 2, no. PART 1, 2009, (Cited by: 20; All Open Access, Bronze Open Access). |