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A Guaranteed Bound Filter for Polynomial Systems

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Advances in Estimation, Navigation, and Spacecraft Control (ENCS 2012)

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Abstract

A recursive filter for polynomial systems is derived, where the bound on the mean square estimation error is explicitly calculated. The derivation relies on the recently introduced theory of positive polynomials. The general form of the filter is similar to the extended Kalman filter, but the filter gain is calculated differently.

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Authors and Affiliations

  1. RAFAEL, Advanced Defense Systems, Haifa, Israel

    György Hexner, Ilan Rusnak & Haim Weiss

Authors
  1. György Hexner
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  2. Ilan Rusnak
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  3. Haim Weiss
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Corresponding author

Correspondence to György Hexner .

Editor information

Editors and Affiliations

  1. Mechanical Engineering Department, Ben-Gurion University of the Negev, Beer Sheva, Israel

    Daniel Choukroun

  2. Faculty of Aerospace Engineering, Technion - Israel Institute of Technology, Haifa, Israel

    Yaakov Oshman

  3. NASA Goddard Space Flight Center, Greenbelt, USA

    Julie Thienel

  4. Faculty of Aerospace Engineering, Technion - Israel Institute of Technology, Haifa, Israel

    Moshe Idan

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Hexner, G., Rusnak, I., Weiss, H. (2015). A Guaranteed Bound Filter for Polynomial Systems. In: Choukroun, D., Oshman, Y., Thienel, J., Idan, M. (eds) Advances in Estimation, Navigation, and Spacecraft Control. ENCS 2012. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44785-7_4

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  • DOI: https://doi.org/10.1007/978-3-662-44785-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-44784-0

  • Online ISBN: 978-3-662-44785-7

  • eBook Packages: EngineeringEngineering (R0)

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