English

Further results on the observability analysis and observer design for single range localization in 3D

Robotics 2014-09-02 v3

Abstract

The issue of single range based observability analysis and observer design for the kinematics model of a 3D vehicle subject to a constant unknown drift velocity is addressed. The proposed method departs from alternative solutions to the problem and leads to the definition of a linear time invariant state equation with a linear time varying output that can be used to globally solve the original nonlinear state estimation problem with a standard Kalman filter. Simple necessary and sufficient observability conditions are derived. Numerical simulation examples are described to illustrate the performance of the method.

Keywords

Cite

@article{arxiv.1308.0517,
  title  = {Further results on the observability analysis and observer design for single range localization in 3D},
  author = {Giovanni Indiveri and Gianfranco Parlangeli},
  journal= {arXiv preprint arXiv:1308.0517},
  year   = {2014}
}

Comments

PRIN project MARIS: Marine Autonomous Robotics for InterventionS, call of year 2010-2011, prot. 2010FBLHRJ. The version dated 31st August 2014 has only minor changes (eg. spelling) with respect to the previous version. One bibliographical entry has been added

R2 v1 2026-06-22T01:02:58.752Z