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Friction Analysis Based on Integral Quadratic Constraints

Rantzer, Anders LU (2001) In International Journal of Robust and Nonlinear Control 11(7). p.645-652
Abstract
Passivity arguments have long been used in the analysis of systems with friction. This paper proves a new set of integral quadratic constraints, which reduces the conservatism of such methods. The result is used to derive a quantitative bound on the amount of integrator leakage that is needed to remove stiction-induced oscillations in a servo system.

Finally, an incremental version of the circle criterion is used to study the existence of subharmonics due to friction in a system subject to externally forced oscillations.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
International Journal of Robust and Nonlinear Control
volume
11
issue
7
pages
645 - 652
publisher
John Wiley & Sons Inc.
external identifiers
  • scopus:0035365674
ISSN
1099-1239
DOI
10.1002/rnc.621
language
English
LU publication?
yes
id
f4f89ae9-3d77-4332-a771-3114249f3645 (old id 162858)
alternative location
http://citeseer.ist.psu.edu/386090.html
date added to LUP
2016-04-01 11:34:08
date last changed
2022-03-05 03:18:56
@article{f4f89ae9-3d77-4332-a771-3114249f3645,
  abstract     = {{Passivity arguments have long been used in the analysis of systems with friction. This paper proves a new set of integral quadratic constraints, which reduces the conservatism of such methods. The result is used to derive a quantitative bound on the amount of integrator leakage that is needed to remove stiction-induced oscillations in a servo system.<br/><br>
Finally, an incremental version of the circle criterion is used to study the existence of subharmonics due to friction in a system subject to externally forced oscillations.}},
  author       = {{Rantzer, Anders}},
  issn         = {{1099-1239}},
  language     = {{eng}},
  number       = {{7}},
  pages        = {{645--652}},
  publisher    = {{John Wiley & Sons Inc.}},
  series       = {{International Journal of Robust and Nonlinear Control}},
  title        = {{Friction Analysis Based on Integral Quadratic Constraints}},
  url          = {{http://dx.doi.org/10.1002/rnc.621}},
  doi          = {{10.1002/rnc.621}},
  volume       = {{11}},
  year         = {{2001}},
}