Da. Cicci, AN ADAPTIVE EXTENDED KALMAN FILTER FOR ANGLES-ONLY TRACKING INTERCEPTPROBLEMS/, The Journal of the astronautical sciences, 41(3), 1993, pp. 411-435
When angles-only measurements are used to estimate a target's ''state'
' in tracking/intercept problems, closing geometries frequently encoun
tered exhibit poor observability of some parameters which can result i
n divergence of the filter. In order to help mitigate the effects of p
oor observability, an adaptive extended Kalman filter has been develop
ed to improve the accuracy of the estimates of relative position and v
elocity and the acceleration of a target using the angles-only informa
tion. This adaptive filter is based upon ridge-type estimation techniq
ues and includes the computation of a biasing parameter, which provide
s a measure of the overall error in the solution and is used as input
into the process noise matrix required in tuning the extended Kalman f
ilter. The use of this adaptive filter will allow the tuning parameter
s to be adjusted each time an observation is processed. This adaptive
extended Kalman filter is applied to a six degree-of-freedom homing in
tercept problem where angular measurements of the target's azimuth and
elevation, relative to the interceptor, are the only measurements pro
vided. Results are obtained for a number of different engagement geome
tries and are compared to the results obtained using both an untuned e
xtended Kalman filter and a manually-tuned extended Kalman filter. Com
parisons are made based upon the miss distance of the engagement as we
ll as overall filter performance. Results show that the adaptive filte
r is similar in accuracy to that of the manually-tuned filter but is m
ore responsive to errors in the estimates.