Assumed Density Filter with Application to Homing Missile Guidance
Abstract
A maximum likelihood estimation method is developed for a class of problems where the dynamics are linear and the measurement function is nonlinear. In this method, called the ″assumed density filter,″ the form of the conditional probability density function is selected to be a function of a finite number of quantities. These quantities, which describe the approximate shape of conditional probability density function around the mode, are propagated through each measurement interval. At the measurement, the conditional probability density function is updated using Bayes theorem, and its mode, computed numerically, is defined to be the best estimate of the state. The posteriori conditional probability density function is then approximated by a Taylor series expansion about its mode to preserve the assumed functional form. The numerical results for a target-intercept problem indicate that the assumed density filter is superior to the extended Kalman filter. However, the assumed density filter has a negative range bias.
Recommended Citation
S. N. Balakrishnan and J. L. Speyer, "Assumed Density Filter with Application to Homing Missile Guidance," Journal of Guidance, Control, and Dynamics, American Institute of Aeronautics and Astronautics (AIAA), Jan 1989.
The definitive version is available at https://doi.org/10.2514/3.20361
Department(s)
Mechanical and Aerospace Engineering
International Standard Serial Number (ISSN)
0731-5090
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 1989 American Institute of Aeronautics and Astronautics (AIAA), All rights reserved.
Publication Date
01 Jan 1989
