Fundamental Limitations in Self-Sensing Magnetic Bearings when Modeled as Linear Periodic Systems.
Peterson, K.S. and Middleton, R.H. and Freudenberg, J.S. (2006) Fundamental Limitations in Self-Sensing Magnetic Bearings when Modeled as Linear Periodic Systems. In: Proceedings of the 2006 American Control Conference Minneapolis, Minnesota, USA, June 14-16, 2006. IEEE, pp. 4552-4557. ISBN 1-4244-0209-3
In "Magnetic Bearing Measurement Configurations and Associated Robustness and Performance Limitations", Thibeault and Smith demonstrate that self-sensing magnetic bearings are impractical due to fundamental limitations in the achievable closed-loop 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 self-sensing 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.
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