For the control of permanent magnet synchronous motors, speed control, current control, sensorless control exist, and control gain design is required. In general, the control gain needs to be designed in consideration of stability and responsibility, and various researches have been conducted on this.In this paper, the influence of the control band of the three types of control on the stability is analyzed by combining the analysis of the pole placement of the closed-loop transfer function and stability judgment considering the axial error which is the difference between the actual position and the estimated position, the relationship between each control band that can secure the results is discussed.
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