Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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LMI-based $H_\infty$ Robust Control of Asymmetric Rotor-magnetic Bearing System

비대칭 로터-자기베어링 시스템의 LMI에 기초한 $H_\infty$ 강건제어

  • 강호식 (충남대학교 기계공학과 대학원) ;
  • 송오섭 (충남대학교 기계공학과)
  • Published : 2003.03.01
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Abstract

Linear matrix Inequality based $H_\infty$ robust controller is designed to control the motion of a 4-axis unbalanced rigid asymmetric rotor supported and controlled by two active magnetic bearings in this paper. To this end, the equations of motion of the system are derived via Hamilton's variational principle and transformed to a state-space form for the standard $H_\infty$ control problem. LMI-based controller, which does not require additional assumptions beyond the usual stabilizability and detectability assumptions, is designed based upon the pole place weighting function and loopshaping technique. The obtained results are compared with those reported in the available literature and the efficiency of the proposed LMI-based $H_\infty$ control is revealed.

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References

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