線形行列不等式(LMI)に基づく磁気軸受系のH_∞制御と混合H_2/H_∞制御

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This paper is concerned with LMI-based H_∞ control and H_2/H_∞ control. We have designed an LMI-based control system for a milling AMB spindle, and compared its performance with that of conventional H_∞ control. The LMI-based control system for this AMB system is designed by taking into account unknown higher-order flexible modes and unknown disturbances of the plant. The state space model for the full-order system of the flexible rotor is derived using the finite element method. Also, the reduced-order model for the controller design is obtained by eliminating every flexible mode of this rotor because the operating speed of this rotor is below the first bending mode. After designing the continuous-time LMI-based controller with the eighth-order which is similar to conventional the H_∞ controller which is reported by us through adjusting frequency-dependent weighting functions. We digitized the continuous-time LMI-based controller to the discrete-time LMI-based controller using a bilinear transformation method. We have carried out a rotation test up to 45000rpm. We conclude that the LMI-based H_∞ control and H_2/H_∞ control systems for the milling AMB spindle has good performance and robustness compared with a conventional control system.
一般社団法人日本機械学会の論文
1996-08-25