This work presents a polynomial version of the well-known extended Kalman filter (EKF) for the state estimation of nonlinear discrete-time stochastic systems. The proposed filter, denoted polynomial EKF (PEKF), consists in the application of the optimal polynomial filter of a chosen degree m to the Carleman approximation of a nonlinear system. When m=1 the PEKF algorithm coincides with the standard EKF. For the filter implementation the moments of the state and output noises up to order 2 are required. Numerical simulations compare the performances of the PEKF with those of some other existing filters, showing significant improvements.
Titolo: | Polynomial Extended Kalman Filter |
Autori: | |
Data di pubblicazione: | 2005 |
Rivista: | |
Abstract: | This work presents a polynomial version of the well-known extended Kalman filter (EKF) for the state estimation of nonlinear discrete-time stochastic systems. The proposed filter, denoted polynomial EKF (PEKF), consists in the application of the optimal polynomial filter of a chosen degree m to the Carleman approximation of a nonlinear system. When m=1 the PEKF algorithm coincides with the standard EKF. For the filter implementation the moments of the state and output noises up to order 2 are required. Numerical simulations compare the performances of the PEKF with those of some other existing filters, showing significant improvements. |
Handle: | http://hdl.handle.net/11697/18094 |
Appare nelle tipologie: | 1.1 Articolo in rivista |