Paper Info
Title
Robust Proportional-Differential Control via Eigenstructure Assignment for Active Magnetic Bearings-Rigid Rotor Systems
Abstract
Since the dynamic characteristics of the rotor supported on active magnetic bearings (AMBs) are strongly dependent on the control strategies and control parameters, it is significant to design proper controllers for the AMBs-rotor systems. A robust proportional-differential (PD) control via eigenstructure assignment for an AMBs-rigid rotor system is proposed in this article. First, the dynamic model of the four-degree-of-freedom (4-DOF) AMBs-rigid rotor system was established and was converted into two 2-DOF models by a cross-differential feedback, which radically eliminates the coupling caused by gyroscopic effect. Then, the parametric expressions of the PD feedback matrix and the closed-loop eigenvector matrix for one of the 2-DOF models were obtained by eigenstructure assignment. In order to acquire stability and desired dynamical performance, the eigenvalues were confined in some specific regions in the complex plane. A multiobjective optimization problem was constructed to make the AMBs-rotor system not only be insensitive to the change of the bias current, but also have low amplitudes of the unbalance vibration and unbalance control currents over the full rotational speed range. The system performances corresponding to two Pareto solutions were compared in numerical simulation and experiments, and the results verify the effectiveness of the proposed method.
Year
DOI
Venue
2022
10.1109/TIE.2021.3095817
IEEE Transactions on Industrial Electronics
Keywords
DocType
Volume
Active magnetic bearing (AMB),eigenstructure assignment,proportional-differential (PD) control,rigid rotor,robust control
Journal
69
Issue
ISSN
Citations 
7
0278-0046
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Tianhao Zhou100.34
Changsheng Zhu223.45