Nonlinear control systems: an introduction (2nd ed.)
Nonlinear control systems: an introduction (2nd ed.)
Matrix analysis and applied linear algebra
Matrix analysis and applied linear algebra
Estimation with Applications to Tracking and Navigation
Estimation with Applications to Tracking and Navigation
Structure from Motion Causally Integrated Over Time
IEEE Transactions on Pattern Analysis and Machine Intelligence
Convex Optimization
Real-time implementation of airborne inertial-SLAM
Robotics and Autonomous Systems
An iterative image registration technique with an application to stereo vision
IJCAI'81 Proceedings of the 7th international joint conference on Artificial intelligence - Volume 2
Vision-aided inertial navigation on an uncertain map using a particle filter
ICRA'09 Proceedings of the 2009 IEEE international conference on Robotics and Automation
Observability-based Rules for Designing Consistent EKF SLAM Estimators
International Journal of Robotics Research
Visual-Inertial Sensor Fusion: Localization, Mapping and Sensor-to-Sensor Self-calibration
International Journal of Robotics Research
Visual-inertial navigation, mapping and localization: A scalable real-time causal approach
International Journal of Robotics Research
IEEE Transactions on Robotics
IEEE Transactions on Robotics
IEEE Transactions on Robotics
High-precision, consistent EKF-based visual-inertial odometry
International Journal of Robotics Research
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This work investigates the relationship between system observability properties and estimator inconsistency for a Vision-aided Inertial Navigation System (VINS). In particular, first we introduce a new methodology for determining the unobservable directions of nonlinear systems by factorizing the observability matrix according to the observable and unobservable modes. Subsequently, we apply this method to the VINS nonlinear model and determine its unobservable directions analytically. We leverage our analysis to improve the accuracy and consistency of linearized estimators applied to VINS. Our key findings are evaluated through extensive simulations and experimental validation on real-world data, demonstrating the superior accuracy and consistency of the proposed VINS framework compared to standard approaches.