Abstract
The digital filtering technology has been widely applied in a majority of signal processing applications. For the linear systems with state-space model, Kalman filter provides optimal state estimates in the sense of minimum mean squared errors and maximum likelihood estimation.
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R. Cui, B. Ren, S.S. Ge, Synchronised tracking control of multi-agent system with high-order dynamics. IET Control Theory Appl. 6(5), 603–614 (2012)
W. Wu, S. Chen, A.Q. Qin, Online estimation of ship dynamic flexure model parameters for transfer alignment. IEEE Trans. Control Syst. Technol. 21(5), 1666–1678 (2013)
Y. Mostofi, R. Murray, To drop or not to drop: design principles for Kalman filtering over wireless fading channels. IEEE Trans. Autom. Control 54(2), 376–381 (2009)
H. Xu, S. Mannor, A Kalman filter design based on the performance/robustness tradeoff. IEEE Trans. Autom. Control 54(5), 1171–1175 (2009)
R.E. Kalman, A new approach to linear filtering and prediction problems. Trans. ASME-J. Basic Eng. 82 (Series D), 35–45 (1960)
R.E. Kalman, R.S. Bucy, New results in linear filtering and prediction theory. Trans. ASME. Ser. D, J. Basic Eng. 83, 95–107 (1961)
S.F. Schmidt, The Kalman filter: its recognition and development for aerospace applications. AIAA J. Guid. Control 4(1), 4–7 (1981)
S. Bogosyan, M. Barut, M. Gokasan, Braided extended Kalman filters for sensorless estimation in induction motors at high-low/zero speed. IET Control Theory Appl. 1(4), 987–998 (2007)
M.A. Khanesar, E. Kayacan, M. Teshnehlab, O. Kaynak, Extended Kalman filter based learning algorithm for type-2 fuzzy logic systems and its experimental evaluation. IEEE Trans. Ind. Electron. 59(11), 4443–4455 (2012)
S. Kluge, K. Reif, M. Brokate, Stochastic stability of the extended Kalman filter with intermittent observations. IEEE Trans. Autom. Control 55(2), 514–518 (2010)
N. Carlson, Fast triangular formulation of the square root filter. AIAA J 11(9), 1259–1265 (1973)
N.A. Carlson, Federated square root filter for decentralized parallel processors. IEEE Trans. Aerosp. Electron. Syst. 26(3), 517–525 (1990)
S.J. Julier, J.K. Uhlmann, Unscented filtering and nonlinear estimation. Proc. IEEE 92(3), 644 401–422 (2004)
S. Jafarzadeh, C. Lascu, M.S. Fadali, State estimation of induction motor drives using the unscented Kalman filter. IEEE Trans. Ind. Electron. 59(11), 4207–4216 (2012)
H. Marina, F.J. Pereda, J.M. Giron-Sierra, F. Espinosa, UAV attitude estimation using unscented Kalman filter and TRIAD. IEEE Trans. Ind. Electron. 59(11), 4465–4474 (2012)
S. Bhaumik, S. Sadhu, T.K. Ghoshal, Risk-sensitive formulation of unscented Kalman filter. IET Control Theory Appl. 3(4), 375–382 (2009)
L. Chang, B. Hu, G. Chang, A. Li, Marginalised iterated unscented Kalman filter. IET Control Theory Appl. 6(6), 847–854 (2012)
I.R. Petersen, A.V. Savkin, Robust Kalman Filtering for Signals and Systems with Large Uncertainties (Birkhause Boston, 1999)
B. Hassibi, A.H. Sayed, T. Kailath, \({H}_{\infty }\) optimality of the LMS algorithm. IEEE Trans. Signal Process. 44(2), 267–280 (1996)
W.S. Ra, I.H. Whang, J.B. Park, Non-conservative robust Kalman filtering using a noise corrupted measurement matrix. IET Control Theory Appl. 3(9), 1226–1236 (2009)
B. Chen, L. Yu, W.A. Zhang, Robust Kalman filtering for uncertain state delay systems with random observation delays and missing measurements. IET Control Theory Appl. 5(17), 1945–1954 (2011)
R.K. Mehra, On the identification of variances and adaptive Kalman filtering. IEEE Trans. Autom. Control 15(2), 175–184 (1970)
K. Xiong, H. Zhang, L. Liu, Adaptive robust extended Kalman filter for nonlinear stochastic systems. IET Control Theory Appl. 2(3), 239–250 (2008)
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Ma, H., Yan, L., Xia, Y., Fu, M. (2020). Real-Time State Estimator Without Noise Covariance Matrices Knowledge. In: Kalman Filtering and Information Fusion. Springer, Singapore. https://doi.org/10.1007/978-981-15-0806-6_6
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DOI: https://doi.org/10.1007/978-981-15-0806-6_6
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-0805-9
Online ISBN: 978-981-15-0806-6
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