Skip to main content

Robust Multi-sensor Fusion via Factor Graph and Variational Bayesian Inference

  • Conference paper
  • First Online:
Proceedings of 2022 International Conference on Autonomous Unmanned Systems (ICAUS 2022) (ICAUS 2022)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 1010))

Included in the following conference series:

  • 487 Accesses

Abstract

In the research, we present a novel nonlinear state estimation method to solve the problems of multi-sensor fusion application in navigation systems. In a full Bayesian framework, the muti-sensor fusion is performed by estimating the maximum a posterior over the joint probability distribution function (PDF) of all state variables. In order to exploit the full sparsity of the system, the joint PDF is represented by a factor graph model. Since the outliers which represent corrupted observations could affect the accuracy of state estimation, a variational approximation scheme is applied for robust multi-sensor fusion. The proposed method is experimentally verified using the multi-sensor data that recoded by an integrated navigation system. The simulation results demonstrate that the proposed method provides a comparable performance to the traditional muti-sensor fusion method.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 709.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 899.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 899.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Gao, S., Zhong, Y., Zhang, X., Shirinzadeh, B.: Multi-sensor optimal data fusion for INS/GPS/SAR integrated navigation system. Aerosp. Sci. Technol. 13, 232–237 (2009)

    Article  Google Scholar 

  2. Smith, D., Singh, S.: Approaches to multisensor data fusion in target tracking: a survey. IEEE Trans. Knowl. Data Eng. 18, 1696–1710 (2006)

    Article  Google Scholar 

  3. Yager, R.: On the fusion of imprecise uncertainty measures using belief structures. Inf. Sci. 181, 3199–3209 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  4. Willner, D., Chang, C.B., Dunn, K.P.: Kalman filter algorithms for a multi-sensor system. In: Proceedings the 1976 IEEE Conference on 15th Symposium on Adaptive Processes, pp. 570–574. Clearwater, FL, USA (1976)

    Google Scholar 

  5. Sun, S.L., Deng, Z.L.: Multi-sensor optimal information fusion Kalman filter. Automatica 40, 1017–1023 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  6. Ali, J., Fang, J.C.: SINS/ANS/GPS integration using federated Kalman filter based on optimized information-sharing coefficients. In: Proceedings of the AIAA Guidance, Navigation, and Control Conference, San Francisco, pp.1–13. CA, USA (2005)

    Google Scholar 

  7. Rodríguez-Valenzuela, S., Holgado-Terriza, J.A., Gutiérrez-Guerrero, J.M., Muros-Cobos, J.L.: Distributed service-based approach for sensor data fusion in IoT environments. Sensors 14, 19200–19228 (2014)

    Article  Google Scholar 

  8. Tardif, J.P., George, M., Laverne, M., Kelly, A., Stentz, A.: A new approach to vision-aided inertial navigation. In: IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 4161–4168, Taipei, China (2010)

    Google Scholar 

  9. Indelman, V., Williams, S., Kaess, M., Dellaert, F.: Information fusion in navigation systems via factor graph based incremental smoothing. Robot. Auton. Syst. 61(8), 721–738 (2013)

    Article  Google Scholar 

  10. Ben-Elisha, Y., Indelman, V.: Active online visual-inertial navigation and sensor calibration via belief space planning and factor graph based incremental smoothing. In: IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 2616–2622. IEEE, Vancouver, BC, Canada (2017)

    Google Scholar 

  11. Lupton, L., Sukkarieh, S.: Visual-inertial-aided navigation for high-dynamic motion in built environments without initial conditions. IEEE Trans. Robot. 28(1), 61–76 (2012)

    Article  Google Scholar 

  12. Haowei, X.U., Lian, B., Liu, S.: Multi-source integrated navigation algorithm for iterated maximum posteriori estimation based on sliding-window factor graph. Acta Armamentarii 40(4), 807–819 (2019)

    Google Scholar 

  13. Kschischang, F.R., Frey, B.J., Loeliger, H.A.: Factor graphs and the sum-product algorithm. IEEE Trans. Inf. Theor. 47(2), 498–519 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  14. Penny, W., Roberts, S.J.: Varational bayes for non-Gaussian autoregressive models. In: Proceedings of the 2000 IEEE Signal Processing Society Workshop (Cat. No.00TH8501), pp. 135–144. Sydney, NSW, Australia (2000)

    Google Scholar 

  15. Xu, D., Shen, C., Shen, F.: A robust particle filtering algorithm with non-gaussian measurement noise using student-t distribution. IEEE Signal Process. Lett. 21(1), 30–34 (2013)

    Article  MathSciNet  Google Scholar 

  16. Kaess, M., Johannsson, H., Roberts, R., Ila, V., Leonard J., Dellaert F.: iSAM2: incremental smoothing and mapping with fluid relinearization and incremental variable reordering. In: 2011 IEEE International Conference on Robotics and Automation, pp. 3281–3288, Shanghai, China (2011)

    Google Scholar 

  17. Zeng, Q., Chen, W., Liu, J., Wang, H.: An improved multi-sensor fusion navigation algorithm based on the factor graph. Sensors 17(3), 641 (2017)

    Article  Google Scholar 

  18. Chiu, H.P., Williams, S., Dellaert, F., Samarasekera, S., Kumar, R.: Robust vision-aided navigation using Sliding-Window Factor graphs. In: 2013 IEEE International Conference on Robotics and Automation, pp. 46–53. Karlsruhe, Germany (2013)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yicheng Zhou .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 Beijing HIWING Sci. and Tech. Info Inst

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Zhou, Y., Mei, C., Liu, T., Bai, L. (2023). Robust Multi-sensor Fusion via Factor Graph and Variational Bayesian Inference. In: Fu, W., Gu, M., Niu, Y. (eds) Proceedings of 2022 International Conference on Autonomous Unmanned Systems (ICAUS 2022). ICAUS 2022. Lecture Notes in Electrical Engineering, vol 1010. Springer, Singapore. https://doi.org/10.1007/978-981-99-0479-2_2

Download citation

Publish with us

Policies and ethics