On Kalman, H/sub /spl infin// and H/sub 2/ target tracking: probability of target escape

• Published in: Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334) Vol. 6; pp. 4353 - 4357 vol.6
• Main Authors: Rawicz, P.L., Kalata, P.R., Murphy, K.M., Chmielewski, T.A.
• Format: Conference Proceeding
• Language: English
• Published: IEEE 2000
• Subjects: Equations; Filtering; Hydrogen; Kalman filters; Position measurement; Radar measurements; Radar tracking; State estimation; Steady-state; Target tracking
• ISBN: 9780780355194; 0780355199
• ISSN: 0743-1619; 2378-5861
• DOI: 10.1109/ACC.2000.877044

This paper considers the Kalman, H/sub /spl infin// and H/sub 2/ continuous time, steady state, target tracking problem. The target escape criteria is examined, in particular the probability that the position estimate will sufficiently degrade causing the target to be outside the radar beam width. Analytical expressions for the probability of target escape are developed not only to compare the performance of the various filters, but also as a design tool to meet tracking specifications. It is shown that the Kalman and H/sub 2/ trackers have a lower probability of escape than the H/sub /spl infin// tracker when the target manoeuvrability is Gaussian and within the tracker design setting. Conversely, the H/sub /spl infin// process generally has a lower probability of escape than the Kalman and H/sub 2/ trackers when the target manoeuvrability is a pulse acceleration.