Brief Square-root information filtering and fixed-interval smoothing with singularities

Authors:
Mark L. Psiaki
Affiliations:
Sibley School of Mechanical and Aerospace Engineering, Cornell University, 220 Upson Hall, Ithaca, New York 14853-7501, USA
Venue:
Automatica (Journal of IFAC)
Year:
1999

Citing 3
Cited 0

A new forward-pass fixed-interval smoother using the U-D information matrix factorization

Automatica (Journal of IFAC)
Lessons in digital estimation theory

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Paper: A new computationally efficient fixed-interval, discrete-time smoother

Automatica (Journal of IFAC)

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Abstract

The square-root information filter algorithm and the related covariance smoother algorithm have been generalized to handle singular state-transition matrices and perfect measurements. This allows the use of SRIF techniques for problems with delays and state constraints. The generalized algorithms use complete QR factorization to isolate deterministically known parts of the state and nonsingular parts of the state transition and disturbance influence matrices. These factorizations and the corresponding changes of coordinates are used to solve the recursive least-squares problems that are basic to the SRIF technique. Numerical stability, computation time, and storage requirements are comparable to the traditional SRIF algorithms.