2016
DOI: 10.1109/tcst.2015.2512879
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Single Range Localization in 3-D: Observability and Robustness Issues

Abstract: The issue of single range based observability analysis and observer design for the kinematics model of a 3D vehicle eventually 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. Simple necessary and sufficient observability conditions are derived. The localization problem is finally solved using a novel outlier robust predictor -c… Show more

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Cited by 35 publications
(21 citation statements)
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“…Numerical simulations have shown that the LELbased estimator can be remarkably effective in this context. Specific results are reported in [13].…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Numerical simulations have shown that the LELbased estimator can be remarkably effective in this context. Specific results are reported in [13].…”
Section: Resultsmentioning
confidence: 99%
“…This paper describes a robust state estimation solution building on a prediction corrector architecture based on the minimization of a suitably defined non-linear cost function. The proposed technique is being employed for underwater robot localization issues as described in [13] where a preliminary description of the filter is provided. The aim of this paper is to thoroughly analyze the filter both from a theoretical and numerical point of view.…”
Section: Introductionmentioning
confidence: 99%
“…Let V K denote the bounded Volterra linear integral operator induced by a given bivariate kernel function K(•, •) mapping within the Hilbert space L 2 loc (R ≥0 ) of locally square-integrable functions with domain R ≥0 and range R. 1…”
Section: Non-asymptotic Volterra Operators Algebramentioning
confidence: 99%
“…Therefore, in the following only a partial overview will be given. For an expanded literature review, the reader is referred, for instance, to the important recent paper [1].…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, the measurement of velocity is required introducing additional difficulties of implementation and possibly extra measurement errors. In [1], an alternative LTI system with time-varying output mapping is formulated with comprehensive observability analysis. Moreover, a robust correctionbased state estimator is designed with the consideration of disturbances on both the distance measurement and velocity.…”
Section: Introductionmentioning
confidence: 99%