Uncertain model and μ-synthesis of a magnetic bearing

Toru Namerikawa, Masayuki Fujita

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

9 Citations (Scopus)

Abstract

This paper deals with modeling, uncertain structure and μ-synthesis of magnetic bearings. The dynamics of magnetic bearing systems are characterized by their instability and complex dynamics of rotor and electromagnets, hence they should have a robustness for stability and performance against model uncertainties. First we derive a nominal mathematical model of the plant under some assumption, then consider the gap between the real physical system, and the obtained nominal design model. This gap has complex structure which is expressed by the structured uncertainties that includes linearization error, parametric uncertainties, unmodeled dynamics, and gyroscopic effect. Then we set the interconnection structure which contains the above structurally represented uncertainties. Next we design a robust controller which achieves robust performance condition using the structured singular value μ. Finally, we evaluate the proposed interconnection structure and verify robustness of stability and performance of the designed μ controller by several numerical simulations.

Original languageEnglish
Title of host publicationIEEE Conference on Control Applications - Proceedings
PublisherIEEE
Pages558-563
Number of pages6
Volume1
Publication statusPublished - 1999
Externally publishedYes
EventProceedings of the 1999 IEEE International Conference on Control Applications (CCA) and IEEE International Symposium on Computer Aided Control System Design (CACSD) - Kohala Coast, HI, USA
Duration: 1999 Aug 221999 Aug 27

Other

OtherProceedings of the 1999 IEEE International Conference on Control Applications (CCA) and IEEE International Symposium on Computer Aided Control System Design (CACSD)
CityKohala Coast, HI, USA
Period99/8/2299/8/27

Fingerprint

Magnetic bearings
Controllers
Electromagnets
Robustness (control systems)
Linearization
Rotors
Mathematical models
Uncertainty
Computer simulation

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Namerikawa, T., & Fujita, M. (1999). Uncertain model and μ-synthesis of a magnetic bearing. In IEEE Conference on Control Applications - Proceedings (Vol. 1, pp. 558-563). IEEE.

Uncertain model and μ-synthesis of a magnetic bearing. / Namerikawa, Toru; Fujita, Masayuki.

IEEE Conference on Control Applications - Proceedings. Vol. 1 IEEE, 1999. p. 558-563.

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

Namerikawa, T & Fujita, M 1999, Uncertain model and μ-synthesis of a magnetic bearing. in IEEE Conference on Control Applications - Proceedings. vol. 1, IEEE, pp. 558-563, Proceedings of the 1999 IEEE International Conference on Control Applications (CCA) and IEEE International Symposium on Computer Aided Control System Design (CACSD), Kohala Coast, HI, USA, 99/8/22.
Namerikawa T, Fujita M. Uncertain model and μ-synthesis of a magnetic bearing. In IEEE Conference on Control Applications - Proceedings. Vol. 1. IEEE. 1999. p. 558-563
Namerikawa, Toru ; Fujita, Masayuki. / Uncertain model and μ-synthesis of a magnetic bearing. IEEE Conference on Control Applications - Proceedings. Vol. 1 IEEE, 1999. pp. 558-563
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