Optimal control of rotors in anisotropic magnetic bearings

Ohseop Song; Ho-Shik Kang; Liviu I. Librescu

doi:10.1117/12.388762

19 June 2000 Optimal control of rotors in anisotropic magnetic bearings

Ohseop Song, Ho-Shik Kang, Liviu I. Librescu

Proceedings Volume 3984, Smart Structures and Materials 2000: Mathematics and Control in Smart Structures; (2000) https://doi.org/10.1117/12.388762
Event: SPIE's 7th Annual International Symposium on Smart Structures and Materials, 2000, Newport Beach, CA, United States

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.

Citation Download Citation

Ohseop Song, Ho-Shik Kang, and Liviu I. Librescu "Optimal control of rotors in anisotropic magnetic bearings", Proc. SPIE 3984, Smart Structures and Materials 2000: Mathematics and Control in Smart Structures, (19 June 2000); https://doi.org/10.1117/12.388762

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