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A Lyapunov method in microstepping control for Permanent Magnet stepper motors

机译:永磁步进电机微步控制的Lyapunov方法

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In this paper, the stability of microstepping is investigated via Lyapunov method. A Lyapunov based control is proposed for the position tracking of a Permanent Magnet (PM) stepper motor. Given static inputs to the two phase PM stepper motor, it is proven that the convergence of equilibrium points is guaranteed by LaSalle's theorem. For position tracking, the relationships between the voltage input and current output of each phase for the position tracking are derived. From the relationships, the Lyapunov based controller is developed for the position tracking. Simulation results showed that the rotor angle and speed tracking performance of the proposed controller are good comparison to microstepping with current feedback PI controller.
机译:本文通过Lyapunov方法研究了微步进的稳定性。提出了一种基于Lyapunov的控件,用于跟踪永磁(PM)步进电机的位置。给定两相PM步进电机的静态输入,可以证明LaSalle定理可以保证平衡点的收敛。对于位置跟踪,导出用于位置跟踪的各相的电压输入和电流输出之间的关系。根据这些关系,开发了基于Lyapunov的控制器来进行位置跟踪。仿真结果表明,所提出的控制器的转子角和速度跟踪性能与采用电流反馈PI控制器的微步进具有良好的比较。

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