Projecting High-Dimensional Parametric Uncertainties for Improved State Estimation Error Confidence
The navigation of vehicles oftentimes involves the use of key environment and vehicle parameters in the forward evolution of the state estimate and its associated uncertainty. Given the objective of achieving precision navigation, it is critical that the full effect of the parameters, including their uncertainties, is taken into account in the estimation process. When the parameter set is of high dimension, the computational complexity involved in projecting the parametric uncertainties into state uncertainties can make the navigation solution intractable for onboard computation. A method is presented that projects the uncertainties in the parameters through an equivalent process-noise structure leading to real-time computations supporting precision navigation. Having first shown that the procedure works for linear systems, the method is applied to generating a process-noise-like term that accounts for the uncertainty present in the spherical harmonics coefficients of a high-order gravitational acceleration model. Simulation studies are performed to show that the method can be applied to the conversion of the uncertainty in spherical harmonics gravity coefficients, which can be of dimension 10,000 and higher, to a process-noise representation that accurately predicts the position and velocity uncertainties for spacecraft navigation.
K. J. DeMars and R. H. Bishop, "Projecting High-Dimensional Parametric Uncertainties for Improved State Estimation Error Confidence," Journal of Guidance, Control, and Dynamics, vol. 38, no. 9, pp. 1659-1672, American Institute of Aeronautics and Astronautics (AIAA), Sep 2015.
The definitive version is available at https://doi.org/10.2514/1.G000994
Mechanical and Aerospace Engineering
Keywords and Phrases
Amphibious vehicles; Harmonic analysis; Linear systems; Navigation; State estimation; Tracking (position); Uncertainty analysis; Gravitational accelerations; Gravity coefficients; Navigation of vehicles; Parametric uncertainties; Precision navigation; Real-time computations; Spacecraft navigation; Velocity uncertainty; Parameter estimation
International Standard Serial Number (ISSN)
Article - Journal
© 2015 American Institute of Aeronautics and Astronautics (AIAA), All rights reserved.
01 Sep 2015