Distinguishability study of 3-Mass Models for Electromechanical Motion Systems

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Mathias Tantau
  • Christian Helmke
  • Lars Perner
  • Mark Wielitzka

Research Organisations

External Research Organisations

  • Lenze SE
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Details

Original languageEnglish
Article number3
Pages (from-to)175-187
Number of pages13
JournalInternational Journal of Modelling, Identification and Control (IJMIC)
Volume36
Issue number3
Publication statusPublished - 2020

Abstract

Physically motivated models of electromechanical motion systems are required in several applications related to control design and auto-tracking, model-based fault detection, feed-forward, and simply interpretation. However, attempts to create such models automatically via structure and parameter identification struggle with ambiguities regarding the correct internal structure of the model. Designing a reasonable set of candidate models is difficult, because it is not known which models are distinguishable andwhich are not. This paper gives a simple to use necessary condition for indistinguishability of multiple mass models as they are used to model the control-relevant features of motion systems. In an automated way models are generated that can be created by considering elasticities at different positions in themechanical structures. The condition is applied to thesemodels for the case of three masses. In three examples it is shown that the criterion simplifies the subsequent structure and parameter identification considerably by reducing the number of possible models. For higher numbers of masses, however, it would become intractable.

Keywords

    Electric drive trains, Electromechanical motion systems, Frequency domain, Frequency response function, FRF, Indistinguishability analysis, Model selection, Model structure optimisation, Multiple mass models, Multiple mass resonators, Poles and zeros, Servo control systems, Structure and parameter identification, Transfer function type

ASJC Scopus subject areas

Cite this

Distinguishability study of 3-Mass Models for Electromechanical Motion Systems. / Tantau, Mathias; Helmke, Christian; Perner, Lars et al.
In: International Journal of Modelling, Identification and Control (IJMIC), Vol. 36, No. 3, 3, 2020, p. 175-187.

Research output: Contribution to journalArticleResearchpeer review

Tantau, M, Helmke, C, Perner, L & Wielitzka, M 2020, 'Distinguishability study of 3-Mass Models for Electromechanical Motion Systems', International Journal of Modelling, Identification and Control (IJMIC), vol. 36, no. 3, 3, pp. 175-187. https://doi.org/10.15488/11342, https://doi.org/10.1504/IJMIC.2020.116913
Tantau, M., Helmke, C., Perner, L., & Wielitzka, M. (2020). Distinguishability study of 3-Mass Models for Electromechanical Motion Systems. International Journal of Modelling, Identification and Control (IJMIC), 36(3), 175-187. Article 3. https://doi.org/10.15488/11342, https://doi.org/10.1504/IJMIC.2020.116913
Tantau M, Helmke C, Perner L, Wielitzka M. Distinguishability study of 3-Mass Models for Electromechanical Motion Systems. International Journal of Modelling, Identification and Control (IJMIC). 2020;36(3):175-187. 3. doi: 10.15488/11342, 10.1504/IJMIC.2020.116913
Tantau, Mathias ; Helmke, Christian ; Perner, Lars et al. / Distinguishability study of 3-Mass Models for Electromechanical Motion Systems. In: International Journal of Modelling, Identification and Control (IJMIC). 2020 ; Vol. 36, No. 3. pp. 175-187.
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