Skip to main content

Process and Measurement Noise Covariance Tuning in Kalman-Based Estimator Aided by SVD

  • Conference paper
  • First Online:
New Technologies and Developments in Unmanned Systems (ISUDEF 2022)

Part of the book series: Sustainable Aviation ((SA))

Included in the following conference series:

  • 165 Accesses

Abstract

Process and measurement noise covariance matrices are tuned for an adaptive attitude estimation of a nanosatellite at low Earth orbit based on extended Kalman filter (EKF) that is added by singular value decomposition (SVD) method. The tuning procedure compensates the measurement and process noise covariance variations. The tuning of the R matrix is simply processed in SVD, one of the single-frame methods. The tuning of the Q matrix is defined in the second stage of the Kalman-based estimator design. The tuning rules are run at the same time, so the filter is capable of being robust against initialization errors, system noise uncertainties, and measurement malfunctions without an additional filter design usage.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
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

  • Cilden, D., Soken, H. E., & Hajiyev, C. (2017). Nanosatellite attitude estimation from vector measurements using SVD-AIDED UKF algorithm. Metrology and Measurement Systems, 24(1), 113–125.

    Article  Google Scholar 

  • Hajiyev, C. (2007). Adaptive filtration algorithm with the filter gain correction applied to integrated INS/radar altimeter. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 221(5), 847–885.

    Article  Google Scholar 

  • Hajiyev, C., & Cilden-Guler, D. (2017). Review on gyroless attitude determination methods for small satellites. Progress in Aerospace Science, 90, 54–66.

    Article  Google Scholar 

  • Hajiyev, C., & Cilden-Guler, D. (2021). Satellite attitude estimation using SVD-aided EKF with simultaneous process and measurement covariance adaptation. Advances in Space Research, 68(9), 3875–3890.

    Article  Google Scholar 

  • Ivanov, D., Ovchinnikov, M., & Roldugin, D. (2018). Three-axis attitude determination using magnetorquers. Journal of Guidance, Control, and Dynamics, 41(11), 2455–2462. https://doi.org/10.2514/1.G003698

    Article  Google Scholar 

  • Kang, C. H., Kim, S. Y., & Park, C. G. (2014). A GNSS interference identification and tracking based on adaptive fading Kalman filter. IFAC Proceedings, 47(3), 3250–3255.

    Google Scholar 

  • Mashtakov, Y., Ovchinnikov, M., Wöske, F., Rievers, B., & List, M. (2020). Attitude determination & control system design for gravity recovery missions like GRACE. Acta Astronautica, 173, 172–182.

    Article  Google Scholar 

  • Mimasu, B. Y., & Van der Ha, J. C. (2009). Attitude determination concept for QSAT. Transactions of the Japan Society for Aeronautical and Space Sciences, Space Technology Japan, 7, 63–68.

    Article  Google Scholar 

  • Springmann, J. C., & Cutler, J. W. (2014). Flight results of a low-cost attitude determination systems. Acta Astronautica, 99, 201–214.

    Article  Google Scholar 

  • Wahba, G. (1965). Problem 65-1: A least squares estimate of satellite attitude. Society for Industrial and Applied Mathematics Review, 7(3), 409.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chingiz Hajiyev .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Hajiyev, C., Cilden-Guler, D. (2023). Process and Measurement Noise Covariance Tuning in Kalman-Based Estimator Aided by SVD. In: Karakoc, T.H., Le Clainche, S., Chen, X., Dalkiran, A., Ercan, A.H. (eds) New Technologies and Developments in Unmanned Systems. ISUDEF 2022. Sustainable Aviation. Springer, Cham. https://doi.org/10.1007/978-3-031-37160-8_45

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-37160-8_45

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-37159-2

  • Online ISBN: 978-3-031-37160-8

  • eBook Packages: EnergyEnergy (R0)

Publish with us

Policies and ethics