Symplectic Discretiziation Methods for Parameter Estimation of a Nonlinear Mechanical System Using an Extended Kalman Filter

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Authors

  • Daniel Beckmann
  • Matthias Dagen
  • Tobias Ortmaier

Research Organisations

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Details

Original languageEnglish
Title of host publicationICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics
EditorsOleg Gusikhin, Dimitri Peaucelle, Kurosh Madani
Place of PublicationLissabon, Portugal
Pages327 - 334
Number of pages8
ISBN (electronic)9789897581984
Publication statusPublished - Jul 2016
Event13th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2016 - Lisbon, Portugal
Duration: 29 Jul 201631 Jul 2016

Publication series

NameICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics
Volume1

Abstract

This paper presents two symplectic discretization methods in the context of online parameter estimation for a nonlinear mechanical system. These symplectic approaches are compared to established discretization methods (e.g. Euler Forward and Runge Kutta) regarding accuracy and computational effort. In addition, the influence of the discretization method on the performance of an augmented Extended Kalman Filter (EKF) for parameter estimation is analyzed. The methods are compared with a nonlinear mechanical simulation model, based on a belt-drive system. The simulation shows improved accuracy using simplectic integrators in comparison to the conventional methods, with almost the same or lower computational cost. Parameter estimation based on the EKF in combination with the simplectic integration scheme leads to more accurate values.

Keywords

    Discretization methods, Kalman filter, Mechanical system, Online estimation

ASJC Scopus subject areas

Cite this

Symplectic Discretiziation Methods for Parameter Estimation of a Nonlinear Mechanical System Using an Extended Kalman Filter. / Beckmann, Daniel; Dagen, Matthias; Ortmaier, Tobias.
ICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics. ed. / Oleg Gusikhin; Dimitri Peaucelle; Kurosh Madani. Lissabon, Portugal, 2016. p. 327 - 334 (ICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics; Vol. 1).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Beckmann, D, Dagen, M & Ortmaier, T 2016, Symplectic Discretiziation Methods for Parameter Estimation of a Nonlinear Mechanical System Using an Extended Kalman Filter. in O Gusikhin, D Peaucelle & K Madani (eds), ICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics. ICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics, vol. 1, Lissabon, Portugal, pp. 327 - 334, 13th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2016, Lisbon, Portugal, 29 Jul 2016. https://doi.org/10.5220/0005973503270334, https://doi.org/10.5220/0005973503270334
Beckmann, D., Dagen, M., & Ortmaier, T. (2016). Symplectic Discretiziation Methods for Parameter Estimation of a Nonlinear Mechanical System Using an Extended Kalman Filter. In O. Gusikhin, D. Peaucelle, & K. Madani (Eds.), ICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics (pp. 327 - 334). (ICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics; Vol. 1).. https://doi.org/10.5220/0005973503270334, https://doi.org/10.5220/0005973503270334
Beckmann D, Dagen M, Ortmaier T. Symplectic Discretiziation Methods for Parameter Estimation of a Nonlinear Mechanical System Using an Extended Kalman Filter. In Gusikhin O, Peaucelle D, Madani K, editors, ICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics. Lissabon, Portugal. 2016. p. 327 - 334. (ICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics). doi: 10.5220/0005973503270334, 10.5220/0005973503270334
Beckmann, Daniel ; Dagen, Matthias ; Ortmaier, Tobias. / Symplectic Discretiziation Methods for Parameter Estimation of a Nonlinear Mechanical System Using an Extended Kalman Filter. ICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics. editor / Oleg Gusikhin ; Dimitri Peaucelle ; Kurosh Madani. Lissabon, Portugal, 2016. pp. 327 - 334 (ICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics).
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