A comparison of discretization methods for parameter estimation of nonlinear mechanical systems using extended kalman filter: Symplectic versus classical approaches

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

Autoren

  • Daniel Beckmann
  • Matthias Dagen
  • Tobias Ortmaier

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Details

OriginalspracheEnglisch
Titel des SammelwerksInformatics in Control, Automation and Robotics - 13th International Conference, ICINCO 2016
Herausgeber/-innenDimitri Peaucelle, Kurosh Madani, Oleg Gusikhin
Herausgeber (Verlag)Springer Verlag
Seiten367-384
Seitenumfang18
ISBN (Print)9783319550107
PublikationsstatusVeröffentlicht - 2018
Veranstaltung13th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2016 - Lisbon, Portugal
Dauer: 29 Juli 201631 Juli 2016

Publikationsreihe

NameLecture Notes in Electrical Engineering
Band430
ISSN (Print)1876-1100
ISSN (elektronisch)1876-1119

Abstract

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

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A comparison of discretization methods for parameter estimation of nonlinear mechanical systems using extended kalman filter: Symplectic versus classical approaches. / Beckmann, Daniel; Dagen, Matthias; Ortmaier, Tobias.
Informatics in Control, Automation and Robotics - 13th International Conference, ICINCO 2016. Hrsg. / Dimitri Peaucelle; Kurosh Madani; Oleg Gusikhin. Springer Verlag, 2018. S. 367-384 (Lecture Notes in Electrical Engineering; Band 430).

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

Beckmann, D, Dagen, M & Ortmaier, T 2018, A comparison of discretization methods for parameter estimation of nonlinear mechanical systems using extended kalman filter: Symplectic versus classical approaches. in D Peaucelle, K Madani & O Gusikhin (Hrsg.), Informatics in Control, Automation and Robotics - 13th International Conference, ICINCO 2016. Lecture Notes in Electrical Engineering, Bd. 430, Springer Verlag, S. 367-384, 13th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2016, Lisbon, Portugal, 29 Juli 2016. https://doi.org/10.1007/978-3-319-55011-4_18
Beckmann, D., Dagen, M., & Ortmaier, T. (2018). A comparison of discretization methods for parameter estimation of nonlinear mechanical systems using extended kalman filter: Symplectic versus classical approaches. In D. Peaucelle, K. Madani, & O. Gusikhin (Hrsg.), Informatics in Control, Automation and Robotics - 13th International Conference, ICINCO 2016 (S. 367-384). (Lecture Notes in Electrical Engineering; Band 430). Springer Verlag. https://doi.org/10.1007/978-3-319-55011-4_18
Beckmann D, Dagen M, Ortmaier T. A comparison of discretization methods for parameter estimation of nonlinear mechanical systems using extended kalman filter: Symplectic versus classical approaches. in Peaucelle D, Madani K, Gusikhin O, Hrsg., Informatics in Control, Automation and Robotics - 13th International Conference, ICINCO 2016. Springer Verlag. 2018. S. 367-384. (Lecture Notes in Electrical Engineering). doi: 10.1007/978-3-319-55011-4_18
Beckmann, Daniel ; Dagen, Matthias ; Ortmaier, Tobias. / A comparison of discretization methods for parameter estimation of nonlinear mechanical systems using extended kalman filter : Symplectic versus classical approaches. Informatics in Control, Automation and Robotics - 13th International Conference, ICINCO 2016. Hrsg. / Dimitri Peaucelle ; Kurosh Madani ; Oleg Gusikhin. Springer Verlag, 2018. S. 367-384 (Lecture Notes in Electrical Engineering).
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T2 - 13th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2016

AU - Beckmann, Daniel

AU - Dagen, Matthias

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