Fundamental Limitations in SelfSensing Magnetic Bearings when
Modeled as Linear Periodic Systems. 
Peterson, K.S.; Middleton, R.H.; Freudenberg, J.S.



In "Magnetic Bearing Measurement Configurations
and Associated Robustness and Performance Limitations",
Thibeault and Smith demonstrate that selfsensing magnetic bearings are impractical due to fundamental limitations
in the achievable closedloop robustness. Due to experimental data which appeared to contradict these results, Maslen, Montie, and Iwasaki showed that significantly better robustness is achievable in "Robustness limitations in selfsensing magnetic bearings" if the magnetic bearing is modeled as a linear periodic (LP) system rather than the linear time invariant (LTI) system used by Thibeault and Smith. The present paper explores why modeling the selfsensing magnetic bearing as a LP system improves the achievable robustness. This is accomplished by utilizing lifting to analyze the LP
model as a MIMO discrete LTI system.

Keyword(s):

Hamilton Institute; Computer Science; MIMO systems; Closed loop systems; Discrete systems; Linear systems; Magnetic bearings; Periodic control; Position control; Robust control; Selfadjusting systems; Timevarying systems; Closedloop robustness; Discrete system; Linear periodic systems; Linear time invariant system; Selfsensing magnetic bearings; ACC 2006; Hamilton Institute. 
Publication Date:

2006 
Type:

Book chapter 
PeerReviewed:

Yes 
Institution:

Maynooth University 
Citation(s):

Peterson, K.S. and Middleton, R.H. and Freudenberg, J.S. (2006) Fundamental Limitations in SelfSensing Magnetic Bearings when Modeled as Linear Periodic Systems. In: Proceedings of the 2006 American Control Conference Minneapolis, Minnesota, USA, June 1416, 2006. IEEE, pp. 45524557. ISBN 1424402093 
Publisher(s):

IEEE 
File Format(s):

application/pdf 
Related Link(s):

http://mural.maynoothuniversity.ie/1782/1/HamiltonACC06_AMB.pdf 
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