Skip to main content

Investigating State Covariance Properties During Finite Escape Time in H Filter SLAM

  • Conference paper
  • First Online:
Proceedings of the 10th National Technical Seminar on Underwater System Technology 2018

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 538))

Abstract

This paper deals with the investigation of finite escape time problem in H Filter based localization and mapping. Finite escape time in H Filter has restricted the technique to be applied as the mobile robot cannot determine its location effectively due to inconsistent information. Therefore, an analysis to improved the current H Filter is proposed to investigate the state covariance behavior during mobile robot estimation. Three main factors are being considered in this research namely the initial state covariance, the γ values and the type of noises. This paper also proposed a modified H Filter to reduce the finite escape time problem in the estimation. The analysis and simulation results determine that the modified H Filter has better performance compared to the normal H Filter as well as to Kalman Filter for different γ, initial state covariance and works well in non-gaussian noise environment.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
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

References

  1. Durrant-Whyte, H., Bailey, T.: Simultaneous localization and mapping: part I. IEEE Robot. Autom. Mag. 13(2), 99–110 (2006)

    Article  Google Scholar 

  2. Bailey, T., Durrant-Whyte, H.: Simultaneous localization and mapping (SLAM): part II. IEEE Robot. Autom. Mag. 13(3), 108–117 (2006)

    Article  Google Scholar 

  3. Smith, R.C., Cheeseman, P.: On the representation and estimation of spatial uncertainty. J. Robot. Res. 5(4), 56–68 (1987)

    Article  Google Scholar 

  4. Porta, J.M.: CuikSLAM: a kinematics-based approach to SLAM. In: Proceeding of the 2005 IEEE International Conference on Robotics and Automation, pp. 2425–2431, Spain (2005)

    Google Scholar 

  5. Thallas, A., Tsardoulias, E., Petrou, L.: Particle filter-scan matching SLAM recovery under kinematic model failures. In: 24th Mediterranean Conference on Control and Automation, pp. 232–237, Greece (2016)

    Google Scholar 

  6. Johansen, T.A., Brekke, E.: Globally exponential stable Kalman Filtering for SLAM with AHRS. In: 19th International Conference on Information Fusion (FUSION), pp. 909–916, Germany (2016)

    Google Scholar 

  7. Huang, S., Dissayanake, G.: Convergence and consistency analysis for extended Kalman Filter based SLAM. IEEE Trans. Robot. 23(5), 1036–1049 (2007)

    Article  Google Scholar 

  8. Dissayanake, G., Newman, P., Clark, S., Durrant-Whyte, H., Csorba, M.: A solution to the simultaneous localization and map building (SLAM). IEEE Trans. Robot. Autom. 17(3), 229–241 (2001)

    Article  Google Scholar 

  9. Kurt-Yavuz, Z., Yavuz, S.: A comparison of EKF, UKF, FastSLAM2.0, and UKF based FastSLAM algorithm. In: IEEE 16th Conference on Intelligent Engineering System (INES), pp. 37–43, Portugal (2012)

    Google Scholar 

  10. Buonocore, L., Barros dos Santos, S.R., Neto, A.A., Nascimento, C.L,: FastSLAM filter implementation for indoor autonomous robot. In: 2016 IEEE Intelligent Vehicles Symposium, pp. 484–489, Sweden (2016)

    Google Scholar 

  11. Guo, L., Song, C., Mao, Y.: H infinity filter in maneuvering target tracking of military guidance field. In: International Conference on Automatic Control and Artificial Intelligence (ACAI2012), pp. 1114–1116, China (2012)

    Google Scholar 

  12. Hur, H., Hyo-Sung, A.: Discrete-time H filter for mobile robot localization using wireless sensor network. IEEE Sens. J. 13(1), 245–252 (2013)

    Article  Google Scholar 

  13. Charkhgard, M., Haddad Zarif, M.: Design of adaptive H filter for implementing on state-of-charge estimation based on battery state-of-charge varying modelling. IET Power Electron. 8(10), 1825–1833 (2015)

    Article  Google Scholar 

  14. Zhao, F., Zhang, Q., Zhang, Y.: H filtering for a class of singular biological systems. IET Control Theory Appl. 9(13), 2047–2055 (2015)

    Article  MathSciNet  Google Scholar 

  15. Nazamzade, P., Fontanelli, D., Macii, D., Palopoli, L.: Indoor localization of mobile robots through QR code detection and dead reckoning data fusion. IEEE/ASME Trans. Mechatron. 22(6), 2588–2599 (2017)

    Article  Google Scholar 

  16. Bolzern, P., Colaneri, P., De Nicolao, G.: H differential Riccati equations: convergence properties and finite escape phenomena. IEEE Trans. Autom. Control 42(1), 113–118 (1997)

    Article  MathSciNet  Google Scholar 

  17. Bolzern, P., Maroni, M.: New conditions for the convergence of H/sub/spl infin//filters and predictors. IEEE Trans. Autom. Control 44(8), 1564–1568 (1999)

    Article  Google Scholar 

  18. Ahmad, H., Namerikawa, T.: Feasibility study of partial observability in H filtering for robot localization and mapping problem. In: American Control Conference (ACC) 2010, pp. 3980–3985 (2010)

    Google Scholar 

Download references

Acknowledgements

The authors would like to thank Ministry of Higher Education and Universiti Malaysia Pahang for supporting this research under RDU160145 and RDU160379.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hamzah Ahmad .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Ahmad, H., Othman, N.A., Saari, M., Ramli, M.S. (2019). Investigating State Covariance Properties During Finite Escape Time in H Filter SLAM. In: Md Zain, Z., et al. Proceedings of the 10th National Technical Seminar on Underwater System Technology 2018 . Lecture Notes in Electrical Engineering, vol 538. Springer, Singapore. https://doi.org/10.1007/978-981-13-3708-6_23

Download citation

  • DOI: https://doi.org/10.1007/978-981-13-3708-6_23

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-3707-9

  • Online ISBN: 978-981-13-3708-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics