Title
Distribution of the zero-effort miss distance estimation error in interception problems
Abstract
In interception problems subject to noise corrupted measurements and random bounded target maneuvers, the miss distance is a random variable with an a-priori unknown distribution. In previous works, such a miss distance distribution could be obtained by a computational approach, assuming that the distribution of the zero-effort miss distance estimation error is known as a function of time. In this paper, this assumption is replaced by an analytical approach based on the knowledge of the measurement error distribution, the estimator structure and the (possibly non-linear) guidance law. For this purpose the shaping filter technique is used, considering that the excitation noise due to the random target maneuvers, as well as the observation noise, are Gaussian white noises. This analytical approach is illustrated by numerical examples.
Year
DOI
Venue
2015
10.1016/j.amc.2015.07.073
Applied Mathematics and Computation
Keywords
Field
DocType
Interception,Zero-effort miss distance,Miss distance distribution,Estimator error,Shaping filter
Interception,Random variable,Mathematical optimization,Gaussian,Observational error,Mathematics,Estimator,Bounded function
Journal
Volume
Issue
ISSN
269
C
0096-3003
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Elina Moldavskaya100.34
Josef Shinar25513.19