Abstract | ||
---|---|---|
A closed-form state estimator for some polynomial nonlinear systems is derived in this paper. Exploiting full Taylor series expansion we first give exact matrix expressions to compute mean and covariance of any random variable distribution that has been transformed through a polynomial function. An original discrete-time Kalman filtering implementation relying on this exact polynomial transformati... |
Year | DOI | Venue |
---|---|---|
2006 | 10.1109/TCSI.2006.870899 | IEEE Transactions on Circuits and Systems I: Regular Papers |
Keywords | Field | DocType |
Kalman filters,Filtering,Polynomials,State estimation,Nonlinear systems,Taylor series,Covariance matrix,Distributed computing,Random variables,Chaos | Extended Kalman filter,Polynomial transformation,Fast Kalman filter,Polynomial,Control theory,Filter (signal processing),Unscented transform,Kalman filter,Invariant extended Kalman filter,Mathematics | Journal |
Volume | Issue | ISSN |
53 | 6 | 1549-8328 |
Citations | PageRank | References |
6 | 0.64 | 7 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
M. B. Luca | 1 | 6 | 0.64 |
Student Member IEEE | 2 | 6 | 0.64 |
S. Azou | 3 | 50 | 9.05 |
G. Burel | 4 | 111 | 8.71 |