2017
DOI: 10.1109/tmech.2017.2744651
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A New Outlier-Robust Student's t Based Gaussian Approximate Filter for Cooperative Localization

Abstract: In this paper, a new outlier-robust Student's t based Gaussian approximate filter is proposed to address the heavytailed process and measurement noises induced by the outlier measurements of velocity and range in cooperative localization of autonomous underwater vehicles (AUVs). The state vector, scale matrices and degrees of freedom (dof) parameters are estimated based on the variational Bayesian approach by using the constructed Student's t based hierarchical Gaussian statespace model. The performances of th… Show more

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Cited by 151 publications
(63 citation statements)
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“…In order to estimate the position of a target AUV, its relative position with respect to the sensor AUVs is measured using acoustic waves with the help of techniques mentioned in Section 2. Once the relative position of a target w.r.t the accurate sensors' positions is known, its position can be estimated using different estimation algorithms proposed in the research literature [1,[42][43][44][45][46]. However, measurement of this relative position in water is a challenging task due to inconsistent and unpredictable underwater environment.…”
Section: Background Theory and Problem Statementmentioning
confidence: 99%
“…In order to estimate the position of a target AUV, its relative position with respect to the sensor AUVs is measured using acoustic waves with the help of techniques mentioned in Section 2. Once the relative position of a target w.r.t the accurate sensors' positions is known, its position can be estimated using different estimation algorithms proposed in the research literature [1,[42][43][44][45][46]. However, measurement of this relative position in water is a challenging task due to inconsistent and unpredictable underwater environment.…”
Section: Background Theory and Problem Statementmentioning
confidence: 99%
“…One of the main problems of the KF-based filters is that in the case of modeling and parameter uncertainties, the performance of estimation is degraded. For example, state noises and measurement noises have heavy-tailed and/or skewed non-Gaussian distributions when measurements have much clutter [15][16][17]. To deal with this unknown noises, some robust methods have been presented [18,19], when the system with a heavy-tailed or a skewed measurement noises, robust Kalman filters have been proposed by employing the Student's t or skew-t distribution to model measurement noises [15,20].…”
Section: Introductionmentioning
confidence: 99%
“…Based on the Bayesian framework, Huang et al [27] proposed a robust Gaussian approximate fixed interval smoother aiming at nonlinear systems with heavy-tailed process and measurement noises. Paper [28] proposed a new outlier-robust Student's t based Gaussian approximate filter aiming at the outlier measurements of velocity and range in cooperative localization of autonomous underwater vehicles. However, the computation load of the Bayesian and maximum-likelihood methods is so complex that their practical applications are dramatically constrained.…”
Section: Introductionmentioning
confidence: 99%