基于分数阶次符号函数的永磁同步电机滑模控制技术

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摘要

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。

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	郑美茹
	王圣
	王丰
	刘文阳

关键词 ：分数阶微积分, 滑模控制, 符号函数, 快速趋近律

Abstract：

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.

Key words： Fractional order calculus sliding mode control sign function fast reaching law

收稿日期: 2016-03-27 出版日期: 2017-05-12

PACS:

TM351

基金资助:

陕西铁路工程职业技术学院常规项目(KY2016-45)和北京市自然科学基金项目(4152046)资助

通讯作者: 王圣男,1992年生,硕士,研究方向为分数阶控制。E-mail:nanwangsheng@126.com

作者简介: 郑美茹女,1983年生,硕士,讲师,研究方向为机电系统性能分析测试与控制。E-mail:xushengjun078@163.com

引用本文:

郑美茹, 王圣, 王丰, 刘文阳. 基于分数阶次符号函数的永磁同步电机滑模控制技术[J]. 电工技术学报, 2017, 32(9): 56-62. Zheng Meiru, Wang Sheng, Wang Feng, Liu Wenyang. The Sliding-Mode Control Based on Fractional Order Sign Function of Permanent Magnet Synchronous Motor. Transactions of China Electrotechnical Society, 2017, 32(9): 56-62.

链接本文:

https://dgjsxb.ces-transaction.com/CN/Y2017/V32/I9/56

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