K. Mehrotra et Pr. Mahapatra, A JERK MODEL FOR TRACKING HIGHLY MANEUVERING TARGETS, IEEE transactions on aerospace and electronic systems, 33(4), 1997, pp. 1094-1105
A model of target motion in three-dimensional space that includes posi
tion derivatives up to the third order is developed. Compared with ava
ilable models, which include terms at the most up to the second deriva
tive, the model introduced in this work, called the jerk model, can mo
re accurately describe agile target maneuvers which are likely to cont
ain significant higher order derivatives. A compatible 4-state Kalman
filter to perform tracking in conjunction with the jerk model is also
presented, and an initialization procedure for the filter is provided.
The improved performance of the jerk model over a lower order model i
s illustrated through numerical simulation.