2017 |
Raïssi, Tarek; Aoun, Mohamed On robust pseudo state estimation of fractional order systems Article de journal Dans: Lecture Notes in Control and Information Sciences, vol. 471, p. 97 – 111, 2017, (Cited by: 3). Résumé | Liens | BibTeX | Étiquettes: Continuous time systems, Continuous-time linear systems, Estimation errors, Fractional dynamics, Fractional systems, Fractional-order systems, Interval observers, Linear systems, Measurement Noise, Robust estimation, State estimation, State space methods, Uncertainty analysis @article{Ra\"{i}ssi201797b,The goal of this chapter is to design robust observers for fractional dynamic continuous-time linear systems described by pseudo state space representation. The fractional observer is guaranteed to compute a domain enclosing all the system pseudo states that are consistent with the model, the disturbances and the measurement noise realizations. Uncertainties on the initial pseudo state and noises are propagated in a reliable way to estimate the bounds of the fractional pseudo state. Only the bounds of the uncertainties are used and no additional assumptions about their stationarity or ergodicity are taken into account. A fractional observer is firstly built for a particular case where the estimation error can be designed to be positive. Then, the general case is investigated through changes of coordinates. Some numerical simulations illustrate the proposed methodology. © Springer International Publishing AG 2017. |
Raïssi, Tarek; Aoun, Mohamed On robust pseudo state estimation of fractional order systems Article de journal Dans: Lecture Notes in Control and Information Sciences, vol. 471, p. 97 – 111, 2017, (Cited by: 3). Résumé | Liens | BibTeX | Étiquettes: Continuous time systems, Continuous-time linear systems, Estimation errors, Fractional dynamics, Fractional systems, Fractional-order systems, Interval observers, Linear systems, Measurement Noise, Robust estimation, State estimation, State space methods, Uncertainty analysis @article{Ra\"{i}ssi201797,The goal of this chapter is to design robust observers for fractional dynamic continuous-time linear systems described by pseudo state space representation. The fractional observer is guaranteed to compute a domain enclosing all the system pseudo states that are consistent with the model, the disturbances and the measurement noise realizations. Uncertainties on the initial pseudo state and noises are propagated in a reliable way to estimate the bounds of the fractional pseudo state. Only the bounds of the uncertainties are used and no additional assumptions about their stationarity or ergodicity are taken into account. A fractional observer is firstly built for a particular case where the estimation error can be designed to be positive. Then, the general case is investigated through changes of coordinates. Some numerical simulations illustrate the proposed methodology. © Springer International Publishing AG 2017. |
Publications
2017 |
On robust pseudo state estimation of fractional order systems Article de journal Dans: Lecture Notes in Control and Information Sciences, vol. 471, p. 97 – 111, 2017, (Cited by: 3). |
On robust pseudo state estimation of fractional order systems Article de journal Dans: Lecture Notes in Control and Information Sciences, vol. 471, p. 97 – 111, 2017, (Cited by: 3). |