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  • https://doi.org/10.1109/tim.2026.3674268Copy DOI Icon

Mapless Underwater Navigation Using Convex Quadratic Programming-Based Geomagnetic–Inertial Fusion

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Abstract

This paper presents a geomagnetic-inertial fusion navigation method that addresses heading ambiguity caused by gradient vanishing in mapless navigation scenarios. The key innovation lies in reformulating the fusion navigation problem in underwater environment without prior geomagnetic maps as a convex quadratic programming (CQP) optimization approach, fundamentally transforming the traditional Kalman filter-based sensor fusion into a constrained model predictive control (MPC) scheme. This CQP formulation enables the direct integration of target geomagnetic information while ensuring computational efficiency and global optimality. Crucially, we introduce a dynamic weighting mechanism, driven by an anomaly detector, which allows the system to intelligently select reliable magnetic data and revert to inertial navigation in distorted fields. This ensures high robustness, computational efficiency, and real-time performance. The proposed method facilitates robust multi-destination navigation without requiring precise initial parameter calibration and effectively mitigates cumulative drift during long-range navigation. Comprehensive validations through Monte Carlo simulations and BlueROV2-based experiments demonstrates substantial improvements: 81.9% and 84.8% improvements in circular error probable 50% (CEP<sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">50</sub>) and CEP90 accuracy compared to traditional geomagnetic navigation, and 56.1% and 57.4% improvements compared to standalone inertial navigation, respectively.

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