Control of a mobile sensor for multi-target tracking using multi-target/object Multi-Bernoulli filter

In multi-object stochastic systems, the issue of sensor control is a theoretically and computationally challenging problem. In this paper, we present a novel random finite set (RFS) approach to the multi-target sensor management problem. Our approach is based on a partially observed Markov decision process (POMDP) where the reward function is a measure of information gain. The multi-target state is modelled as Multi-Bernoulli RFS, and the Multi-Bernoulli filter is used in conjunction with two different reward functions: maximizing the expected Renyi divergence between the predicted and updated densities, and minimizing the expected cardinality variance. Numerical studies and discussions are presented with range only measurements.

[1]  Alfred O. Hero,et al.  Information Theoretic Approaches to Sensor Management , 2008 .

[2]  R. Mahler,et al.  Objective functions for bayesian control-theoretic sensor management, 1: multitarget first-moment approximation , 2003, 2003 IEEE Aerospace Conference Proceedings (Cat. No.03TH8652).

[3]  Ba-Ngu Vo,et al.  Sensor control for multi-object state-space estimation using random finite sets , 2010, Autom..

[4]  Ba-Ngu Vo,et al.  On performance evaluation of multi-object filters , 2008, 2008 11th International Conference on Information Fusion.

[5]  Robin J. Evans,et al.  Simulation-Based Optimal Sensor Scheduling with Application to Observer Trajectory Planning , 2005, CDC 2005.

[6]  Ba-Ngu Vo,et al.  A Consistent Metric for Performance Evaluation of Multi-Object Filters , 2008, IEEE Transactions on Signal Processing.

[7]  Lawrence Carin,et al.  Stochastic Control Theory for Sensor Management , 2008 .

[8]  Ba-Ngu Vo,et al.  The Cardinality Balanced Multi-Target Multi-Bernoulli Filter and Its Implementations , 2009, IEEE Transactions on Signal Processing.

[9]  Ba-Ngu Vo,et al.  A Note on the Reward Function for PHD Filters with Sensor Control , 2011, IEEE Transactions on Aerospace and Electronic Systems.

[10]  Ronald Mahler,et al.  MULTITARGET SENSOR MANAGEMENT OF DISPERSED MOBILE SENSORS , 2004 .

[11]  Robin J. Evans,et al.  Simulation-Based Optimal Sensor Scheduling with Application to Observer Trajectory Planning , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[12]  A. Doucet,et al.  Particle filtering for multi-target tracking and sensor management , 2002, Proceedings of the Fifth International Conference on Information Fusion. FUSION 2002. (IEEE Cat.No.02EX5997).