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Title: $Fractional-order System Identification of a Solid-core Active Magnetic Bearing
Abstract: Due to the eddy current effect,a solid-core active magnetic bearing(AMB) will show some fractional order characteristics and the traditional magnetic equivalent circuit model has significant amounts of error when predicting the actual system.The past AMB identification mostly focuses on the estimation of parameters in integer model and rarely involves the fractional model of unknown model structure.For the latter identification,a weighted least-squares method was derived for the general fractional model based on the widely studied commensurate-order fractional model.Moreover,the principles and procedures for determining the model structure and the error criteria for deriving the optimal model were proposed.Finally,the closed-loop frequency domain identification was carried out for a solid-core homopolar AMB.The final results show that the identified fractional model is very close to actual system and could provide a valuable reference for designing high-performance controllers.