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- Title
State estimation for a nonlinear fractional-order system with correlated noises considering influence of initial value.
- Authors
Yang, Chuang; Gao, Zhe; Chai, Haoyu; Han, Yang
- Abstract
This paper investigates the influence of initial value (IIV) aiming at nonlinear continuous-time fractional-order systems (FOSs), which contain the correlated noises via fractional-order hybrid extended-cubature Kalman filters (HECKFs). Typically, the choice of initial values for the estimated system greatly affects the accuracy of state estimation; hence, the model transformation method is used to weaken IIV. The continuous-time FOS is discretized by using the Grünwald–Letnikov difference to obtain the difference equation. By utilizing the third-degree spherical-radial rule and the cubature points to represent nonlinear functions in the state equation and output equation, a fractional-order HECKF to deal with the correlated noise is proposed to achieve an effective state estimation. Finally, the effectiveness of the proposed algorithm is verified with two simulation examples.
- Subjects
NONLINEAR estimation; NONLINEAR systems; KALMAN filtering; DIFFERENCE equations; NOISE
- Publication
Nonlinear Dynamics, 2023, Vol 111, Issue 24, p22443
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-023-09030-4