Title
Pursuit-evasion game for normal distributions
Abstract
In this paper we consider a probabilistic model of a pursuit-evasion game on Rn, in which neither pursuer nor evader positions are known with certainty. Both parties are represented by normal distributions that evolve according to a Kalman filter as new sensor readings (observation from overhead camera/satellite images) are obtained. The objective is to design the control commands issued by the pursuer (which is executed noisily). The control commands issued by the evader are unknown - only sensor measurements are given. Even with such limited knowledge we prove boundedness of a distance between the pursuer's distribution and the evader's true distribution (one that takes into account the evader's control commands). Our simulation results support the claimed guarantees.
Year
DOI
Venue
2014
10.1109/IROS.2014.6942544
IROS
Keywords
DocType
ISSN
Kalman filter,pursuer distribution,Kalman filters,overhead camera,control commands,sensor readings,pursuit evasion game,satellite images,normal distributions,evader true distribution,sensor measurements,probabilistic model
Conference
2153-0858
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Chanyoung Jun100.34
Subhrajit Bhattacharya246236.93
robert ghrist344632.46