Abstract
The aim of filters is to get accurate estimates of the useful signal from the signal with noises. Based on the measurement of the observable signal of the system and using some statistical optimal method, the theory of filtering can be treated as the theory and method of estimating the state of the system according to certain filtering criteria.
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References
Arasaratnam I, Haykin S (2009) Cubature Kalman filters. IEEE Trans Autom Control 54(6):1254–1269
Arasaratnam I, Haykin S, Elliott RJ (2007) Discrete-time nonlinear filtering algorithms using gausshermite quadrature. Proc IEEE 95(5):953–977
Banavar RN (1992) A game theoretic approach to linear dynamic estimation. Doctoral Dissertation, University of Texas at Austin
Bishop AN, Pathirana PN, Savkin AV (2007) Radar target tracking via robust linear filtering. IEEE Signal Process Lett 14(12):1028–1031
Cappe O, Godsill SJ, Moulines E (2007) An overview of existing methods and recent advances in sequential Monte Carlo. Proc IEEE 95(5):899–924
Dan S (2006) Optimal state estimation: Kalman, H ∞ , and nonlinear approaches. Wiley-Interscience, New York
Einicke GA, White LB (1999) Robust extended Kalman filtering. IEEE Trans Signal Process 47(9):2596–2599
Haug AJ (2012) Bayesian estimation and tracking: a practical guide. Springer, New York
Julier SJ, Uhlmann JK (2004) Unscented filtering and nonlinear estimation. Proc IEEE 92(3):401–422
Li YK, Jing ZL, Hu SQ (2010) Redundant adaptive robust tracking of active satellite and error evaluation. IET Control Theory Appl 4(11):2539–2553
Li W, Gong D, Liu M, Chen J, Duan D (2013) Adaptive robust Kalman filter for relative navigation using global position system. IET Radar Sonar Navig 7(5):471–479
Li Y, Jing Z, Liu G (2014) Maneuver-aided active satellite tracking using six-DOF optimal dynamic inversion control. IEEE Trans Aerosp Electron Syst 50(1):704–719
Mahler R (2003) Multitarget Bayes filtering via first-order multitarget moments. IEEE Trans Aerosp Electron Syst 39(4):1152–1178
Mahler RPS (2007) PHD filters of higher order in target number. IEEE Trans Aerosp Electron Syst 43(4):1523–1543
Mahler RPS (2007) Statistical multisource-multitarget information fusion. Artech House, Norwood
Norgaard M, Poulsen NK, Ravn O (2000) New developments in state estimation for nonlinear systems. Automatica 36(11):1627–1638
Ristic B, Arulampalam S, Gordon N (2003) Beyond the Kalman filter-particle filters for tracking applications. IEEE Trans Aerosp Electron Syst 19(7):37–38
Seo J, Yu MJ, Park CG, Lee JG (2006) An extended robust h ∞ filter for nonlinear constrained uncertain systems. IEEE Trans Signal Process 54(11):4471–4475
Shen X, Deng L (1997) Game theory approach to discrete h ∞ filter design. IEEE Trans Signal Process 45(4):1092–1095
Soken HE, Hajiyev C (2010) Pico satellite attitude estimation via robust unscented Kalman filter in the presence of measurement faults. ISA Trans 49(3):249–256
Theodor U, Shaked U, Souza CED (1994) A game theory approach to robust discrete-time H ∞ -estimation. IEEE, New York
Vo BT, Vo BN, Cantoni A (2009) The cardinality balanced multi-target multi-Bernoulli filter and its implementations. IEEE Trans Signal Process 57(2):409–423
Vo BN, Vo BT, Phung D (2014) Labeled random finite sets and the Bayes multi-target tracking filter. IEEE Trans Signal Process 62(24):6554–6567
Xiong K, Zhang H, Liu L (2008) Adaptive robust extended Kalman filter for nonlinear stochastic systems. IET Control Theory Appl 2(3):239–250
Zhong M, Zhou D, Ding SX (2010) On designing h ∞ fault detection filter for linear discrete time-varying systems. IEEE Trans Autom Control 55(7):1689–1695
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Jing, Z., Pan, H., Li, Y., Dong, P. (2018). Nonlinear Filter. In: Non-Cooperative Target Tracking, Fusion and Control. Information Fusion and Data Science. Springer, Cham. https://doi.org/10.1007/978-3-319-90716-1_2
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DOI: https://doi.org/10.1007/978-3-319-90716-1_2
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