The bearing only localization problem via partially observed Markov decision process

François Dufour, Alexandre Génadot () and Romain Namyst
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François Dufour: Univ. Bordeaux, CNRS, INRIA, Bordeaux INP, IMB, UMR 5251
Alexandre Génadot: Univ. Bordeaux, CNRS, INRIA, Bordeaux INP, IMB, UMR 5251
Romain Namyst: Univ. Bordeaux, CNRS, INRIA, Bordeaux INP, IMB, UMR 5251

Mathematical Methods of Operations Research, 2025, vol. 101, issue 2, No 3, 219-257

Abstract: Abstract We consider the classical problem of localization of a target from an observer from bearing measurements. We reformulate this problem within the framework of the theory of partially observed Markov decision processes and propose a method for numerically solving this problem. Theoretical convergence of this numerical solution scheme is obtained and numerical investigations are also carried out, enabling us to recover optimal curves already suggested in the literature via other techniques.

Keywords: Markov decision process; Bearing only tracking; Filtering in stochastic control theory; Numerical implementation; Exponential family; 60J20; 93E11; 62L20; 65Y20; 62H12 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s00186-025-00890-7

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