On practical implementation of robust kalman filtering

References

• Akl , S.G. 1989 . The Design and Analysis of Parallel Algorithms , Englewood Cliffs, New Jersey : Prentice Hall .
   Google Scholar
• Bierman , G.J. and Thornton , C.L. 1977 . Numerical comparation of Kalman filter algorithms: Orbit determination case study . Automatica , 13 : 23 – 25 .
   Web of Science ®Google Scholar
• Bryson , A. E. 1978 . Kalman filter divergence and aircraft motion estimators . Int. J. Guidance Contr. , 1 : 71 – 79 .
   Google Scholar
• Catlin , D.E. 1989 . Estimation, Control, and the Discrete Kalman Filter , New York : Springer-Verlag .
   Google Scholar
• Chen , H.F. 1985 . Recursive Estimation and Control for Stochastic Systems , New York : Wiley .
   Google Scholar
• Cipra , T. and Romera , R. 1991 . Robust Kalman filter and its application in time series analysis . Kybernetika , 27 ( n^o 6 ) : 481 – 494 .
   Web of Science ®Google Scholar
• Grewal , M.S. and Andrews , A.P. 1993 . Kalman filtering , Englewood Cliffs, New Jersey : Prentice Hall .
   Google Scholar
• Guttman , I. and Peña , D. 1985 . Robust Filtering, Comment on “Dynamic Generalized Linear Models and Bayesian Forecasting” . Journal of the American Statistical Association , 80 : 91 – 92 . by West, Harrison and Migon
   Web of Science ®Google Scholar
• Huber , P.J. 1964 . Robust estimation of a location parameter . Ann. Math. Statist. , 35
   Google Scholar
• Huber , P.J. 1981 . Robust Statistics , New York : J. Wiley .
   Google Scholar
• Itzkowitz , H.R. and Baheti , R.S. 1989 . Demonstration of Square Root Kalman Filter on Warp Parallel Computer , Proceedings of the 1989 American Control Conference .
   Google Scholar
• Jazwinski , A.H. 1970 . Stochastic Processes and Filtering Theory , New York : Academic Press .
   Google Scholar
• Kalman , R.E. 1960 . A new approach to linear filtering and prediction problems . ASME Journal of Basic Engineering , 82 : 34 – 45 . series D
   Google Scholar
• Kalman , R.E. 1963 . “ Chapter 9, Proc. First Symposium on Engineering Applications of Random Function Theory and Probability ” . In New Methods in Wiener filtering , New York : Wiley .
   Google Scholar
• Kleiner , B. , Martin , R.D. and Thompson , D.J. 1979 . Robust estimation of power spectra . J. R. Stat. Soc. Ser. B , 41 ( 3 ) : 313 – 351 .
   Google Scholar
• Masreliez , C.J. 1975 . Approximate non-Gaussian filtering with linear state and observation relations . IEEE Trans. Automat. Control , AC-20 : 107 – 110 .
   Web of Science ®Google Scholar
• Masreliez , C.J. and Martin , R.D. 1977 . Robust bayesian estimation for the linear model and robustifying the Kalman filter . IEEE Trans. Automat. Control , AC-22 : 361 – 371 .
   Web of Science ®Google Scholar
• Meinhold , R.J. and Singpurwalla , N.D. 1989 . Robustification of Kalman filter models . J. Amer. Statist. Assoc. , 84 : 479 – 486 .
   Web of Science ®Google Scholar
• Morf , M. and Kailath , T. 1975 . Square root algorithms for least squares estimation . JEEE Transactions on Automatic Control , AC-20 : 487 – 497 .
   Web of Science ®Google Scholar
• Morris , J.M. 1976 . The Kalman Filter: A Robust Estimator for Some Classes of Linear Quadratic Problems . IEEE Transactions on Information Theory , 22 ( 3 ) : 526 – 534 .
   Web of Science ®Google Scholar
• Palis , M.A. and Krecker , D.K. 1989 . “ GE International Technical Report ” . In Parallel Kalman Filtering on the Connection Machine , Moorestown, New Jersey : Advanced Technology Laboratories . GE Aerospace
   Google Scholar
• Romera , R. and Cipra , T. 1993 . “ Statistics and Econometrics Series 12 ” . In A Parallel Kalman Filter via The Square Root Kalman Filtering , Vol. 3 , 93 – 14 . de Madrid : Universidad Carlos . Working Paper
   Google Scholar
• Servi , L.D. and Ho , Y.C. 1981 . Recursive estimation in the presence of uniformly distributed measurement noise . IEEE Trans. Automat. Control , AC-26 : 563 – 565 .
   Web of Science ®Google Scholar
• Sorenson , H. W. , ed. 1985 . Kalman Filtering: Theory and Application , Piscataway, N.J. : IEEE Press .
   Google Scholar
• Verhaegen , M. H. and Van Dooren , P. 1986 . Numerical aspects of different Kalman filter implementation . IEEE Transaction on Automatic Control , AC-31 : 907 – 917 .
   Web of Science ®Google Scholar
• West , M. 1981 . Robust Sequential Approximate Bayesian Estimation . Journal of the Royal Statistical Society , B, 43 : 157 – 166 .
   Google Scholar
• West , M. , Harrison , P.J. and Migon , H.S. 1985 . Dynamic Generalized Linear Models and Bayesian Forecasting . Journal of the American Statistical Association , 80 : 73 – 97 .
   Web of Science ®Google Scholar