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Original Articles

A skewed unscented Kalman filter

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Pages 2572-2583 | Received 04 Jul 2015, Accepted 23 Mar 2016, Published online: 24 Apr 2016

References

  • Anderson, B.D., & Moore, J.B. (2012). Optimal filtering. Courier Dover Publications.
  • Bølviken, E., Acklam, P.J., Christophersen, N., & Størdal, J.M. (2001). Monte Carlo filters for non-linear state estimation. Automatica, 37(2), 177–183.
  • Chang, L., Hu, B., Li, A., & Qin, F. (2013). Transformed unscented Kalman filter. IEEE Transactions on Automatic Control, 58(1), 252–257.
  • Dunik, J., Simandl, M., & Straka, O. (2012). Unscented Kalman filter: Aspects and adaptive setting of scaling parameter. IEEE Transactions on Automatic Control, 57(9), 2411–2416.
  • Evensen, G. (2003). The ensemble Kalman filter: Theoretical formulation and practical implementation. Ocean Dynamics, 53(4), 343–367.
  • Evensen, G. (2009). Data assimilation: The ensemble Kalman filter. Springer Science & Business Media.
  • Flecher, C., Naveau, P., & Allard, D. (2009). Estimating the closed skew-normal distribution parameters using weighted moments. Statistics & Probability Letters, 79(19), 1977–1984.
  • Genton, M.G. (2004). Skew-elliptical distributions and their applications: A journey beyond normality. In G. Gonzalez-Farias J.A. Domínguez-Molina A.K. Gupta, (Eds.), The closed skew-normal distribution. Chapman and Hall/ CRC.
  • González-Farías, G., Domínguez-Molina, A., & Gupta, A.K. (2004). Additive properties of skew normal random vectors. Journal of Statistical Planning and Inference, 126(2), 521–534.
  • Gustafsson, F., & Hendeby, G. (2012). Some relations between extended and unscented Kalman filters. IEEE Transactions on Signal Processing, 60(2), 545–555.
  • He, W., Williard, N., Chen, C., & Pecht, M. (2013). State of charge estimation for electric vehicle batteries using unscented Kalman filtering. Microelectronics Reliability, 53(6), 840–847.
  • Jazwinski, A.H. (1970). Stochastic processes and filtering theory. Academic Press.
  • Julier, S.J. (1998). Skewed approach to filtering. In Aerospace/Defense Sensing and Controls (pp. 271–282). International Society for Optics and Photonics.
  • Julier, S.J. (2002). The scaled unscented transformation. In Proceedings of the 2002 American Control Conference (Vol. 6, pp. 4555–4559). IEEE.
  • Julier, S.J., & Uhlmann, J.K. (1997). A new extension of the Kalman filter to nonlinear systems. In International Symposium on Aerospace/Defense Sensing, Simulation and Controls (Vol. 3, pp. 3–20). Orlando, FL.
  • Kalman, R.E. (1960). A new approach to linear filtering and prediction problems. Journal of Fluids Engineering, 82(1), 35–45.
  • Kandepu, R., Foss, B., & Imsland, L. (2008). Applying the unscented Kalman filter for nonlinear state estimation. Journal of Process Control, 18(78), 753–768.
  • Karimi, O., & Mohammadzadeh, M. (2012). Bayesian spatial regression models with closed skew normal correlated errors and missing observations. Statistical Papers, 53(1), 205–218.
  • Naveau, P., Genton, M.G., & Shen, X. (2005). A skewed Kalman filter. Journal of Multivariate Analysis, 94(2), 382–400.
  • Rezaie, J., & Eidsvik, J. (2014). Kalman filter variants in the closed skew normal setting. Computational Statistics & Data Analysis, 75, 1–14.
  • Rezaie, J., Moshiri, B., Araabi, B.N., & Asadian, A. (2007). GPS/INS integration using nonlinear blending filters. In SICE, 2007 Annual Conference (pp. 1674–1680). IEEE.
  • van der Merwe, R. (2004). Sigma-point Kalman filters for probabilistic inference in dynamic state-space models. Oregon Health & Science University.
  • Wan, E.A. (2001). The square-root unscented Kalman filter for state and parameter-estimation. In 2001 IEEE International Conference on Acoustics, Speech, and Signal processing, 2001 Proceedings (ICASSP’01) (Vol. 6, pp. 3461–3464). IEEE.
  • van der Merwe, R., Wan, E.A., & Julier, S. (2004). Sigma-point Kalman filters for nonlinear estimation and sensor-fusion: Applications to integrated navigation. In Proceedings of the AIAA Guidance, Navigation & Control Conference (pp. 16–19).

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