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Naive Kalman Filtering for 3D Object Orientation

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Book cover Innovative Simulation Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 33))

Abstract

In the paper Naive Kalman filter is introduced and presented for estimating orientation in 3D space. Using the assumption of Bayesian classification systems, the angular velocity vector is treated as three separate events. Therefore, three independent Kalman filters are used to estimate Euler angles for each RPY coordinate system. Data fusion is presented for real IMU sensor which integrated data from triaxial gyroscope, accelerometer and magnetometer.

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References

  1. Titterton, D.H., Weston, J.L.: Strapdown Inertial Navigation Technology, 2nd edn. The Institution of Electrical Engineers, Stevenage (2004)

    Google Scholar 

  2. Pusa, J.: Strapdown inertial navigation system aiding with nonholonomic constraints using indirect Kalman filtering, MSc Thesis, Tampere University of Technology (2009)

    Google Scholar 

  3. Pedley, M.: Tilt sensing using a three-axis accelerometer. Freescale Semicond. Appl. Note, n. AN3461 (2013)

    Google Scholar 

  4. Songlai, H., Wang, J.: A novel method to integrate IMU and magnetometers in attitude and heading reference systems. J. Navig. 64, 727–738 (2011)

    Article  Google Scholar 

  5. Caruso, M.J.: Applications of Magnetoresistive Sensors in Navigation Systems. Honeywell Inc, New Jersey (1998)

    MATH  Google Scholar 

  6. Fux, S.: Development of a planar low cost inertial measurement unit for UAVs and MAVs, MSc Thesis, Eidgenössische Technische Hochschule Zürich (2008)

    Google Scholar 

  7. Peter Haywood King: Low Cost Localization Solution Using a Kalman Filter for Data Fusion, Praca magisterska. Virginia Tech, Blacksburg (2008)

    Google Scholar 

  8. Andrzejczak, M., Ulinowicz, M.: Filtration and integration system (FIS) for navigation data processing based on Kalman Filter. In: Intelligent Systems’ 2014, pp. 203–2010 (2015)

    Google Scholar 

  9. Ulinowicz, M., Narkiewicz, J.: Identification of EMA Dynamic Model in Mechatronics, Mechatrocnis, Recent Technological and Scientific Advances, pp. 375–383 (2012)

    Google Scholar 

  10. Kuś, Z., Nawrat, A.: Object tracking for rapid camera movements in 3D space. In: Vision Based Systems for UAV Applications, Studies in Computational Intelligence, vol. 481, pp. 57–76 (2013) (ISBN: 978-3-319-00368-9)

    Google Scholar 

  11. Barnat, W., Panowicz, R., Niezgoda, T., Dybcio, P.: Numerical Analysis of IED detonation effect on steel plate. Acta Mech. et Autom. 6, 10–12 (2012)

    Google Scholar 

  12. Jedrasiak, K., Daniec, K., Nawrat, A.: The low cost micro inertial measurement unit. In: 8th IEEE Conference on Industrial Electronics and Applications (ICIEA), pp. 403–408, 19–21 June 2013 (ISBN: 978-1-4673-6320-4)

    Google Scholar 

  13. Haid, M., Breitenbach, J.: Low cost inertial orientation tracking with Kalman filter. Appl. Math. Comput. 153, 567–575 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  14. Gucma, M., Montewka, J.: Podstawy morskiej nawigacji inercyjnej. Akademia Morska w Szczecinie, Szczecin (2006)

    Google Scholar 

  15. Woodman, O.J.: An introduction to inertial navigation, Technical Report 696, University of Cambridge (2007)

    Google Scholar 

  16. Grewal, M.S., Weill, L.R., Andrews, A.P.: Global Positioning Systems, Inertial Navigation, and Integration. Wiley, New York (2001)

    Google Scholar 

  17. Medith, J.S.: Estymacja i sterowanie statystycznie optymalne w układach liniowych. WNT, Warszawa (1975)

    Google Scholar 

  18. Roetenberg, D.: Inertial and Magnetic Sensing of Human Motion, PhD Thesis, University of Twente (2006)

    Google Scholar 

  19. Kim, K., Park, C.G.: A new initial alignment algorithm for strapdown inertial navigation system using sensor output. In: Proceedings of the 17th World Congress The International Federation of Automatic Control (IFAC), pp. 13034–13039 (2008)

    Google Scholar 

  20. Roetenberg, D., Henk, J., Luinge, H.J., Chris, T.M., Baten, C.T.M, Veltink P.H.: Compensation of magnetic disturbances improves inertial and magnetic sensing of human body segment orientation. IEEE Trans. Neural Syst. Rehabil. Eng. 13(3), 305–405 (2005)

    Google Scholar 

  21. Talat Ozyagcilar, T.: Implementing a tilt-compensated ecompass using accelerometer and magnetometer sensors. Freescale Semicond. Appl. Note, n. AN4248 (2012)

    Google Scholar 

  22. Sadłowski, P.: Parametryzacje rotacji i algorytmy rozwiązywania równań dynamiki z rotacyjnymi stopniami swobody, Praca doktorska, Polska Akademia Nauk (2007)

    Google Scholar 

  23. Theodoridis, S., Koutroumbas, K.: Pattern Recognition, 3rd edn. Academic Press, Elsevier (2006)

    Google Scholar 

  24. Koronacki, J., Ćwik, J.: Statystyczne systemy uczące się, wydanie drugie. Akademicka Oficyna Wydawnicza EXIT, Warszawa (2008)

    Google Scholar 

  25. Jędrasiak, K., Nawrat, A., Wydmańska, K.: SETh-link the distributed management system for unmanned mobile vehicles. In: Advanced Technologies for Intelligent Systems of National Border Security, Studies in Computational Intelligence, vol. 440, pp. 247–256 (2013)

    Google Scholar 

  26. Nawrat, A., Jędrasiak, K.: SETh system spatio-temporal object tracking using combined color and motion features. In: Chen, S. (ed.) Proceedings of WSEAS International Conference on Mathematics and Computers in Science and Engineering, no. 9 World Scientific and Engineering Academy and Society (2009)

    Google Scholar 

  27. Iwaneczko, P., Jędrasiak, K., Daniec, K., Nawrat, A.: A prototype of unmanned aerial vehicle for image acquisition. In: Computer Vision and Graphics, Lecture Notes in Computer Science, vol. 7594, pp. 87–94 (2012)

    Google Scholar 

  28. Jędrasiak, K., Nawrat, A.: Image recognition technique for unmanned aerial vehicles. In: Computer Vision and Graphics, Lecture Notes in Computer Science, vol. 5337, pp. 391–399 (2009)

    Google Scholar 

  29. Grzejszczak, T., Mikulski, M., Szkodny, T., Jędrasiak, K.: Gesture based robot control. In: Computer Vision and Graphics, Lecture Notes in Computer Science, vol. 7594, pp. 407–413 (2012)

    Google Scholar 

  30. Daniec, K., Iwaneczko, P., Jędrasiak, K., Nawrat, A.: Vision Based Systems for UAV Applications, Studies in Computational Intelligence, vol. 481, pp. 219–232 (2013) (ISBN: 978-3-319-00368-9)

    Google Scholar 

  31. LaValle, S.M.: Planning Algorithms. Cambridge University Press, Cambridge (2006)

    Google Scholar 

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Acknowledgements

This work has been supported by NCBIR grant No. for the first and second author and by Institute of Automatic Control BK grant No. 214/RAu1/2013 for the third author in the year 2014.

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Correspondence to Robert Bieda .

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Bieda, R., Grygiel, R., Galuszka, A. (2016). Naive Kalman Filtering for 3D Object Orientation. In: Nawrat, A., Jędrasiak, K. (eds) Innovative Simulation Systems. Studies in Systems, Decision and Control, vol 33. Springer, Cham. https://doi.org/10.1007/978-3-319-21118-3_23

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  • DOI: https://doi.org/10.1007/978-3-319-21118-3_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-21117-6

  • Online ISBN: 978-3-319-21118-3

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