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Proceedings Paper

Optimal control of rotors in anisotropic magnetic bearings
Author(s): Ohseop Song; Ho-Shik Kang; Liviu I. Librescu
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Paper Abstract

The optimal motion control of an asymmetric rotor-magnetic bearing system based on the linear quadratic regulator theory (LQR) is addressed in this paper. To this end, and as a basic prerequisite, a rigorous modeling of the rotor-magnetic bearing system that includes also the unbalance effect is considered. The derivation of the equations of motion is based upon the application of the Hamilton's variational principle. New schemes related to the selection of the state weighting matrix Q and the control weighting matrix R involved in the quadratic functional to be minimized are proposed. The obtained results are compared with those reported in the available literature and the benefices of the selected weighting matrices are revealed.

Paper Details

Date Published: 19 June 2000
PDF: 12 pages
Proc. SPIE 3984, Smart Structures and Materials 2000: Mathematics and Control in Smart Structures, (19 June 2000); doi: 10.1117/12.388762
Show Author Affiliations
Ohseop Song, Chungnam National Univ. (South Korea)
Ho-Shik Kang, Chungnam National Univ. (South Korea)
Liviu I. Librescu, Virginia Polytechnic Institute and State Univ. (United States)


Published in SPIE Proceedings Vol. 3984:
Smart Structures and Materials 2000: Mathematics and Control in Smart Structures
Vasundara V. Varadan, Editor(s)

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