Kalman filtering with unknown inputs via optimal state estimation of singular systems

References

• ANDERSON , B. D. O. , and MOORE , J. B. , 1979 , Optimal Filtering ( Englewood Cliffs , NJ Prentice-Hall ).
   Google Scholar
• CAINES , P. E. , 1988 , Linear Stochastic Systems ( New York Wiley ).
   Google Scholar
• CHANG , C. B. , and TABACZYNSKI , J. A. , 1984 , Application of state estimation to target tracking . IEEE Transactions on Automatic Control , 29 , No. 2 , 98 – 109 .
   Web of Science ®Google Scholar
• DAI , L. , 1989 , Singular Control Systems. Lecture Notes in Control and Information Sciences , Vol. 118 ( New York Springer-Verlag ).
   Google Scholar
• DAROUACH , M. , ZASADZINSKI , M. , and MEHDI , D. , 1993 , State estimation of stochastic singular linear systems . International Journal of Systems Science , 24 , No. 2 , 345 – 354 .
   Web of Science ®Google Scholar
• DAVIS , M. H. A. , and VINTER , R. B. , 1985 , Stochastic Modelling and Control ( New York Chapman & Hall ).
   Google Scholar
• DE SOUZA , C. E. , GEVERS , M. R. , and GOODWIN , G. C. , 1986 , Riccati equations in optimal filtering of nonstabilizable systems having singular state transition matrices . IEEE Transactions on Automatic Control , 31 , No. 9 , 831 – 838 .
   Web of Science ®Google Scholar
• GHOLSON , N. H. , and MOOSE , R. L. , 1977 , Manoeuvering target using adaptive state estimation . IEEE Transactions on Aerospace and Electronic Systems , 13 .
   Web of Science ®Google Scholar
• GUAN , Y. , and SAIF , M. , 1991 , A novel approach to the design of unknown input observer . IEEE Transactions on Automatic Control , 36 , No. 5 , 632 – 635 .
   Web of Science ®Google Scholar
• HAUTUS , M. L. J. , 1969 , Controllability and observability conditions of linear autonomous systems . Ned. Akad. Wetenschappen Proceedings, Serie A , 72 , 443 – 448 .
   Google Scholar
• Hou , M. , and MULLER , P. C. , 1992 , Design of observers for linear systems with unknown inputs . IEEE Transactions on Automatic Control , 37 , No. 6 , 871 – 875 .
   Web of Science ®Google Scholar
• KIRLIN , R. L. , and MOGHADDAMJOO , A. , 1986 , Robust adaptive Kalman filtering for systems with unknown step input and non-gaussian measurement errors . IEEE Transactions on Acoustics, Speech and Signal Processing , 34 .
   Google Scholar
• MOGHADDAMJOO , A. , and KIRLIN , R. L. , 1989 , Robust adaptive Kalman filtering with unknown inputs . IEEE Transactions on Acoustics, Speech and Signal Processing , 37 , No. 8 , 1166 – 1175 .
   Google Scholar
• MYERS , K. A. , and TAPLEY , B. D. , 1976 , Adaptive sequential estimation with unknown noise statistics . IEEE Transactions on Automatic Control , 21 , No. 4 , 520 – 523 .
   Web of Science ®Google Scholar
• NIKOUKHAH , R. , WILLSKY , A. S. , and LEVY , B. C. , 1992 , Kalman filtering and Riccati equations for descriptor systems , IEEE Transactions on Automatic Control , 37 , No. 9 , 1325 – 1341 .
   Web of Science ®Google Scholar
• SINGER , R. A. , 1970 , Estimating optimal tracking filter performance for manned manoeuvering targets . IEEE Transactions on Aerospace and Electronic Systems , 6 .
   Google Scholar
• WANG , S. H. , DAVIDSON , E. J. , and DORATO , P. , 1975 , Observing the states of systems with unmeasurable disturbances . IEEE Transactions on Automatic Control , 20 , No. 5 , 716 – 717 .
   Web of Science ®Google Scholar
• YANG , F. , and WILDE , R. W. , 1988 , Observers for linear systems with unknown inputs . IEEE Transactions on Automatic Control , 33 , No. 7 , 677 – 681 .
   Web of Science ®Google Scholar
• ZASADZINSKI , M. , MEHDI , D. , and DAROUACH , M. , 1991 , Recursive state estimation for singular systems . Proceedings of the 1991 American Control Conference , Boston , Massachusetts , U.S.A .
   Google Scholar