Open AccessFractional extended Kalman filtering for non‐linear fractional system with Lévy noises
Author(s) -
Sun Yonghui,
Wu Xiaopeng,
Cao Jinde,
Wei Zhig,
Sun Guoqiang
Publication year - 2017
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2016.1041
Subject(s) - kalman filter , state vector , correctness , control theory (sociology) , noise (video) , fractional order system , linear system , state (computer science) , mathematics , computer science , filter (signal processing) , algorithm , fractional calculus , artificial intelligence , mathematical analysis , control (management) , physics , classical mechanics , image (mathematics) , computer vision
In this study, the extended Kalman filtering problem is discussed for fractional‐order non‐linear discrete system with Lévy noises. Two different approximating methods are proposed, respectively, one is to obtain the approximated system measurement noise firstly, then calculates the iterative state vector and measurement vector, the other one is to approximate state vector and measurement vector directly, which seems to be more efficient. Based on the proposed approximating methods, two novel fractional extended Kalman filter designing strategies are developed for fractional‐order non‐linear discrete system with Lévy noises, some detailed comparisons and discussions are presented to show that the obtained results are more general. Finally, some simulation results with necessary comparisons and discussions are given to illustrate the validity and correctness of the proposed methods.