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

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Autoren

  • Daniel Beckmann
  • Matthias Dagen
  • Tobias Ortmaier

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OriginalspracheEnglisch
Titel des SammelwerksICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics
Herausgeber/-innenOleg Gusikhin, Dimitri Peaucelle, Kurosh Madani
ErscheinungsortLissabon, Portugal
Seiten327 - 334
Seitenumfang8
ISBN (elektronisch)9789897581984
PublikationsstatusVeröffentlicht - Juli 2016
Veranstaltung13th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2016 - Lisbon, Portugal
Dauer: 29 Juli 201631 Juli 2016

Publikationsreihe

NameICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics
Band1

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.

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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. Hrsg. / Oleg Gusikhin; Dimitri Peaucelle; Kurosh Madani. Lissabon, Portugal, 2016. S. 327 - 334 (ICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics; Band 1).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-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 (Hrsg.), 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, Bd. 1, Lissabon, Portugal, S. 327 - 334, 13th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2016, Lisbon, Portugal, 29 Juli 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 (Hrsg.), ICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics (S. 327 - 334). (ICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics; Band 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, Hrsg., ICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics. Lissabon, Portugal. 2016. S. 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. Hrsg. / Oleg Gusikhin ; Dimitri Peaucelle ; Kurosh Madani. Lissabon, Portugal, 2016. S. 327 - 334 (ICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics).
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title = "Symplectic Discretiziation Methods for Parameter Estimation of a Nonlinear Mechanical System Using an Extended Kalman Filter",
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.",
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