基于分数阶次符号函数的永磁同步电机滑模控制技术

The Sliding-Mode Control Based on Fractional Order Sign Function of Permanent Magnet Synchronous Motor

针对永磁同步电机的传统滑模控制技术中趋近速度与抖振程度之间存在矛盾的问题,利用分数阶积分型符号函数的特性,设计了一种基于分数阶的积分时变滑模变结构控制器。在趋近律的设计中引入分数阶,达到了在抖振程度较小的前提下提高系统响应速度的目的。仿真和实验结果证明了所提出的滑模控制方法相比于传统的滑模控制方法能更快、更好地跟踪给定的信号,且对系统外部扰动具有较强的鲁棒性。

A scheme of fractional order sliding mode speed controller based on fractional order integral sign function is proposed for dealing with the contradiction of the reaching speed and the chattering phenomenon in traditional sliding mode control for permanent magnet synchronous motor（ PMSM）. Adding the fractional order calculus to the reaching law design can largely increase the response speed on the premise of smaller chattering.The simulation and experiment results demonstrate that the proposed fractional order sliding mode controller not only achieves a faster response speed,but also has a better tracking performance than traditional sliding mode controller. And it also has a good performance of resisting the external disturbance.