English

Observer design for position and velocity bias estimation from a single direction output

Systems and Control 2015-03-27 v1

Abstract

This paper addresses the problem of estimating the position of an object moving in RnR^n from direction and velocity measurements. After addressing observability issues associated with this problem, a nonlinear observer is designed so as to encompass the case where the measured velocity is corrupted by a constant bias. Global exponential convergence of the estimation error is proved under a condition of persistent excitation upon the direction measurements. Simulation results illustrate the performance of the observer.

Cite

@article{arxiv.1503.07680,
  title  = {Observer design for position and velocity bias estimation from a single direction output},
  author = {Florent Le Bras and Tarek Hamel and Robert Mahony and Claude Samson},
  journal= {arXiv preprint arXiv:1503.07680},
  year   = {2015}
}

Comments

6 pages, 6 figures

R2 v1 2026-06-22T09:02:45.865Z