Abstract
In this paper, we study estimator inconsistency in Vision-aided Inertial Navigation Systems (VINS). We show that standard (linearized) estimation approaches, such as the Extended Kalman Filter (EKF), can fundamentally alter the system observability properties, in terms of the number and structure of the unobservable directions. This in turn allows the influx of spurious information, leading to inconsistency. To address this issue, we propose an Observability-Constrained VINS (OC-VINS) methodology that explicitly adheres to the observability properties of the true system.We apply our approach to the Multi-State Constraint Kalman Filter (MSC-KF), and provide both simulation and experimental validation of the effectiveness of our method for improving estimator consistency.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bailey, T., Nieto, J., Guivant, J., Stevens, M., Nebot, E.: Consistency of the EKF-SLAM algorithm. In: Proc. of the IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, Beijing, China, October 9-15, pp. 3562–3568 (2006)
Bar-Shalom, Y., Li, X.R., Kirubarajan, T.: Estimation with Applications to Tracking and Navigation. John Wiley & Sons, New York (2001)
Bouguet, J.-Y.: Camera calibration toolbox for matlab (2006)
Bryson, M., Sukkarieh, S.: Observability analysis and active control for airborne SLAM. IEEE Trans. on Aerospace and Electronic Systems 44(1), 261–280 (2008)
Castellanos, J.A., Martivez-Cantin, R., Neira, J.: Robocentric map joining: Improving the consistency of EKF-SLAM. Robotics and Autonomous Systems 55(1), 21–29 (2007)
Ebcin, S., Veth, M.: Tightly-coupled image-aided inertial navigation using the unscented Kalman filter. Technical report, Air Force Institute of Technology, Dayton, OH (2007)
Hermann, R., Krener, A.: Nonlinear controllability and observability. IEEE Trans. on Automatic Control 22(5), 728–740 (1977)
Hesch, J.A., Kottas, D.G., Bowman, S.L., Roumeliotis, S.I.: Observability-constrained vision-aided inertial navigation. Technical Report 2012-001, University of Minnesota, Dept. of Comp. Sci. & Eng., MARS Lab. (February 2012)
Huang, G.P., Mourikis, A.I., Roumeliotis, S.I.: A first-estimates jacobian EKF for improving SLAM consistency. In: Khatib, O., Kumar, V., Pappas, G.J. (eds.) Experimental Robotics. STAR, vol. 54, pp. 373–382. Springer, Heidelberg (2009)
Huang, G.P., Mourikis, A.I., Roumeliotis, S.I.: On the complexity and consistency of UKF-based SLAM. In: Proc. of the IEEE Int. Conf. on Robotics and Automation, Kobe, Japan, May 12-17, pp. 4401–4408 (2009)
Huang, G.P., Mourikis, A.I., Roumeliotis, S.I.: Observability-based rules for designing consistent EKF SLAM estimators. Int. Journal of Robotics Research 29(5), 502–528 (2010)
Isidori, A.: Nonlinear Control Systems. Springer (1989)
Jones, E.S., Soatto, S.: Visual-inertial navigation, mapping and localization: A scalable real-time causal approach. Int. Journal of Robotics Research 30(4), 407–430 (2011)
Julier, S.J., Uhlmann, J.K.: A counter example to the theory of simultaneous localization and map building. In: Proc. of the IEEE Int. Conf. on Robotics and Automation, Seoul, Korea, May 21-26, pp. 4238–4243 (2001)
Kelly, J., Sukhatme, G.S.: Visual-inertial sensor fusion: Localization, mapping and sensor-to-sensor self-calibration. Int. Journal of Robotics Research 30(1), 56–79 (2011)
Li, M., Mourikis, A.I.: Improving the accuracy of EKF-based visual-inertial odometry. In: Proc. of the IEEE Int. Conf. on Robotics and Automation, St. Paul, MN, May 14-18, pp. 828–835 (2012)
Lucas, B., Kanade, T.: An iterative image registration technique with an application to stereo vision. In: Proc. of the Int. Joint Conf. on Artificial Intelligence, Vancouver, B.C., Canada, August 24-28, pp. 674–679 (1981)
Martinelli, A.: Vision and IMU data fusion: Closed-form solutions for attitude, speed, absolute scale, and bias determination. IEEE Trans. on Robotics 28(1), 44–60 (2012)
Mirzaei, F.M., Roumeliotis, S.I.: A Kalman filter-based algorithm for IMU-camera calibration: Observability analysis and performance evaluation. IEEE Trans. on Robotics 24(5), 1143–1156 (2008)
Mourikis, A.I., Roumeliotis, S.I.: A multi-state constraint Kalman filter for vision-aided inertial navigation. In: Proc. of the IEEE Int. Conf. on Robotics and Automation, Rome, Italy, April 10-14, pp. 3565–3572 (2007)
Mourikis, A.I., Roumeliotis, S.I.: A dual-layer estimator architecture for long-term localization. In: Proc. of the IEEE Conf. on Computer Vision and Pattern Recognition Workshops, Anchorage, AK, pp. 1–8 (June 2008)
Mourikis, A.I., Trawny, N., Roumeliotis, S.I., Johnson, A.E., Ansar, A., Matthies, L.: Vision-aided inertial navigation for spacecraft entry, descent, and landing. IEEE Trans. on Robotics 25(2), 264–280 (2009)
Nistér, D.: An efficient solution to the five-point relative pose problem. In: Proc. of the IEEE Conf. on Computer Vision and Pattern Recognition, Madison, WI, June 16-22, pp. 195–202 (2003)
Roumeliotis, S.I., Burdick, J.W.: Stochastic cloning: A generalized framework for processing relative state measurements. In: Proc. of the IEEE Int. Conf. on Robotics and Automation, Washington D.C., May 11-15, pp. 1788–1795 (2002)
Shi, J., Tomasi, C.: Good features to track. In: Proc. of the IEEE Conf. on Computer Vision and Pattern Recognition, Washington, DC, June 27-July 2, pp. 593–600 (1994)
Strelow, D.W.: Motion estimation from image and inertial measurements. PhD thesis, Carnegie Mellon University, Pittsburgh, PA (November 2004)
Trawny, N., Roumeliotis, S.I.: Indirect Kalman filter for 3D attitude estimation. Technical Report 2005-002, University of Minnesota, Dept. of Comp. Sci. & Eng., MARS Lab. (March 2005)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Kottas, D.G., Hesch, J.A., Bowman, S.L., Roumeliotis, S.I. (2013). On the Consistency of Vision-Aided Inertial Navigation. In: Desai, J., Dudek, G., Khatib, O., Kumar, V. (eds) Experimental Robotics. Springer Tracts in Advanced Robotics, vol 88. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00065-7_22
Download citation
DOI: https://doi.org/10.1007/978-3-319-00065-7_22
Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00064-0
Online ISBN: 978-3-319-00065-7
eBook Packages: EngineeringEngineering (R0)