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http://dx.doi.org/10.5916/jkosme.2010.34.1.092

A Study on the Robust Control of Horizontal-Shaft Magnetic Bearing System Considering Perturbation  

Kim, Chang-Hwa (경남정보대학 전자정보계열)
Jung, Byung-Gun (한국해양대학교 선박전자기계공학부)
Yang, Joo-Ho (부경대학교 기계공학부)
Publication Information
Journal of Advanced Marine Engineering and Technology / v.34, no.1, 2010 , pp. 92-101 More about this Journal
Abstract
Recently, the magnetic bearings which have many advantages such as no noise, less mechanical friction are widely applied to the suspension of rotors on the rotary machineries. However, the magnetic bearing system is inherently unstable, nonlinear and MIMO(multi-input-multi-output) system as well. In this paper, we design a state feedback controller using linear matrix inequality(LMI) to the multi-objective synthesis, for the magnetic bearing system with integral type servo system. The design objectives include $H_{\infty}$ performance, asymptotic disturbance rejection, and time-domain constraints on the closed-loop pole location. The results of computer simulation show the validity of the designed controller.
Keywords
Magnetic bearing; Robust control; Linear matrix inequality; Pole assignment region; Parameter perturbation;
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  • Reference
1 D. W. Gu, P. Hr. Petkov, and M. M. Konstantinov, Robust Control Design with MATLAB, Springer, 2005.
2 電氣學會, 磁氣浮上と磁氣軸受, コロナ社, pp.6-36, 1993.
3 淸水, 谷口, "磁氣軸受の原理と應用", 機械の硏究, vol.22, pp.1620, 昭45-12.
4 野波, "磁氣浮上磁氣軸受制御の現況と制御理論", 計測と制御, vol.32, no.4, pp.301, 1993.
5 김창화 외 2명, "LMI를 이용한 자기 베어링 시스템의 강인성 제어", 한국자동제어학술대회논문집 D권, pp. 436-439, 1999.
6 Johnson, R. G., D. Pang, J. Kirk and D. Anand, "Physical Modelling of High Speed Magnetic Bearing System", Proc. of the 3rd Int. Symp. on Magnetic Bearing, pp. 474-482, 1992.
7 池田, "2自由度積分形最適サーボ系の構成", 計測自動制御學會論文集, vol.27, no.8, pp. 907-914. 1991.
8 P. Gahinet, A. Nemirovskii, A. J. Laub, and M. Chilali, LMI Control Toolbox, The Math Works Inc., 1994.
9 野波, "5自由度制御形磁氣軸受制御系の硏究-ジャイロ效果による相互干涉のある系の最適レギュレータの構成", 計測自動制御學會論文集, vol.20, no.12, pp.1095-1101, 1984.
10 김창화 외2명, "선형행렬부등식 기법을 이용한 횡축형 자기 베어링 시스템의 로버스트 제어", 한국박용기관학회논문지, vol.25. no.2, pp.321-330, 2001.   과학기술학회마을
11 K. Nonami. et al, "Robust control of magnetic bearing system using constantly scaled H${\infty}$ control", Proc. of the 6th Int. Symp. on Magnetic Bearing, pp. 713-722, 1998.
12 M. Chilali and P. Gahinet, "H${\infty}$ design with pole pleasement constraints : An LMI approach", IEEE Trans. on Automatic Control, vol. 41, no.3, pp. 358-367, 1996.   DOI   ScienceOn
13 Holt Ashley, Engineering analysis of Flight Vehicles, Dover Inc., 1974.
14 小原, 松江, "最適化を用いた制御系設計", 日本システム/制御/情報學會, vol. 38, no. 3, pp. 138-146, 1994.