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Zbl 1123.93084
Blom, Henk A.P.; Bloem, Edwin A.
Exact Bayesian filter and joint IMM coupled PDA tracking of maneuvering targets from possibly missing and false measurements. (English)
[J] Automatica 42, No. 1, 127-135 (2006). ISSN 0005-1098

Summary: This paper represents the problem of tracking multiple maneuvering targets from possibly missing and false measurements as one of filtering for a jump-linear descriptor system with stochastic i.i.d. coefficients. This particular representation serves as an instrument in the characterization of the exact Bayesian filter. Subsequently, novel finite dimensional filter algorithms are developed through introducing approximations to the exact Bayesian solution. One filter approximation assumes conditionally Gaussian density of the joint target state given the joint target maneuver mode and the algorithm is referred to as joint IMM coupled PDA (JIMMCPDA). The specialty of this filter algorithm is that both the IMM step and the PDA step are performed jointly over the modes and states of all targets. Subsequently, the CPDA track-coalescence-avoiding hypothesis pruning approach of [{\it H. A. P. Blom} and {\it E. A. Bloem} [IEEE Transactions of Automatic Control, 45, 247--259 (2000; Zbl 0974.93065)] is extended to bring the joint target modes into account. The resulting filter algorithm is referred to as track-coalescence-avoiding joint IMM coupled PDA. The two novel algorithms are compared to IMMJPDA and IMMPDA through Monte Carlo simulations.

MSC 2000:: *93E11 Filtering in stochastic control
62C10 Bayesian problems
93C41 Control problems with incomplete information

Keywords: Bayesian estimation; descriptor system; false measurements; jump-linear model; missing measurements; multitarget tracking; stochastic hybrid system; sudden maneuvers

Citations: Zbl 0974.93065

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