Tensor product transformation based friction model

Y. Kunii, B. Solvang, G. Sziebig, P. Korondi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Citations (Scopus)

Abstract

Friction is a very old and universal issue in all mechanical systems. Since friction is non-linear, it is an ever challenging problem. Several empirical nonlinear friction models have been proposed in the technical literature. This paper does not propose any new model but it presents a new, tensor product (TP) based representation of the existing friction models which is suitable for control design. The TP model transformation is a relatively new method for transforming certain nonlinear models into polytopic model form. The main advantage of the TP model transformation is that the most of the linear state feedback design methods including Linear Matrix Inequality (LMI) can immediately applied to the resulting polytopic models to yield controllers with guaranteed performance.

Original languageEnglish
Title of host publicationINES 2007 - 11th International Conference on Intelligent Engineering Systems, Proceedings
Pages259-264
Number of pages6
DOIs
Publication statusPublished - 2007
EventINES 2007 - 11th International Conference on Intelligent Engineering Systems - Budapest, Hungary
Duration: Jun 29 2007Jul 1 2007

Other

OtherINES 2007 - 11th International Conference on Intelligent Engineering Systems
CountryHungary
CityBudapest
Period6/29/077/1/07

Fingerprint

Tensors
Friction
Linear matrix inequalities
State feedback
Controllers

Keywords

  • Friction compensation
  • Tensor product

ASJC Scopus subject areas

  • Artificial Intelligence
  • Control and Systems Engineering

Cite this

Kunii, Y., Solvang, B., Sziebig, G., & Korondi, P. (2007). Tensor product transformation based friction model. In INES 2007 - 11th International Conference on Intelligent Engineering Systems, Proceedings (pp. 259-264). [4283708] https://doi.org/10.1109/INES.2007.4283708

Tensor product transformation based friction model. / Kunii, Y.; Solvang, B.; Sziebig, G.; Korondi, P.

INES 2007 - 11th International Conference on Intelligent Engineering Systems, Proceedings. 2007. p. 259-264 4283708.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kunii, Y, Solvang, B, Sziebig, G & Korondi, P 2007, Tensor product transformation based friction model. in INES 2007 - 11th International Conference on Intelligent Engineering Systems, Proceedings., 4283708, pp. 259-264, INES 2007 - 11th International Conference on Intelligent Engineering Systems, Budapest, Hungary, 6/29/07. https://doi.org/10.1109/INES.2007.4283708
Kunii Y, Solvang B, Sziebig G, Korondi P. Tensor product transformation based friction model. In INES 2007 - 11th International Conference on Intelligent Engineering Systems, Proceedings. 2007. p. 259-264. 4283708 https://doi.org/10.1109/INES.2007.4283708
Kunii, Y. ; Solvang, B. ; Sziebig, G. ; Korondi, P. / Tensor product transformation based friction model. INES 2007 - 11th International Conference on Intelligent Engineering Systems, Proceedings. 2007. pp. 259-264
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