Application of composite sliding mode control on motion platform of PMLSM precision laser cutting

Bo ZHANG; Xue-feng HAN; Rong QI; Chi ZHANG

doi:10.3788/OPE.20172501.0084

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Application of composite sliding mode control on motion platform of PMLSM precision laser cutting

Micro/Nano Technology and Fine Mechanics | 更新时间：2020-07-07

- Application of composite sliding mode control on motion platform of PMLSM precision laser cutting
- Editorial Office of Optics and Precision Engineeri Vol. 25, Issue 1, Pages: 84-92(2017)
- 作者机构：
  
  1.西北工业大学自动化学院, 陕西西安 710129
  2.中国科学院长春光学精密机械研究所, 吉林长春 130033
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20172501.0084
  CLC： TP273
- Received：20 August 2016，
  
  Accepted：27 September 2016，
  
  Published：25 January 2017
- 稿件说明：
移动端阅览
Bo ZHANG, Xue-feng HAN, Rong QI, et al. Application of composite sliding mode control on motion platform of PMLSM precision laser cutting[J]. Editorial office of optics and precision engineeri, 2017, 25(1): 84-92.
DOI：

Bo ZHANG, Xue-feng HAN, Rong QI, et al. Application of composite sliding mode control on motion platform of PMLSM precision laser cutting[J]. Editorial office of optics and precision engineeri, 2017, 25(1): 84-92. DOI： 10.3788/OPE.20172501.0084.

摘要

针对永磁直线同步电机激光切割运动平台的位置伺服控制低抖振、高精度、强鲁棒的要求，在传统双幂次滑模趋近律的基础上，提出一种变边界层的双幂次滑模趋近律带滑模扰动观测器的复合趋近律滑摸控制方法。变边界层方法是对控制系统的控制精度要求和降低抖振的权衡，而所提出的方法又继承了传统双幂次滑模趋近律方法的有限时间收敛特性。为了降低控制系统设计的保守性，设计了一种基于超螺旋算法的滑模扰动观测器对系统的未知扰动进行估计，并在此算法中添加一个幂指数，通过仿真实验证明了提高幂指数的数值可加快未知扰动的估计值的收敛速度。结合Lyapunov稳定性理论，证明了闭环系统的稳定性。最后，搭建了用于激光切割的永磁直线同步电机平移试验台对所提出的控制器进行测试。实验结果表明：本文所提出的控制器的位置跟踪误差不超过1

m，且误差波动较小，能够满足伺服控制系统的要求。

Abstract

A composite sliding mode control method

which was based on the traditional double power sliding mode reaching law method

was adopted for the requirements of low chattering

high-performance and strong robustness on the motion platform of permanent magnet linear synchronous motor precision laser cutting. A variable boundary layer of double power reaching law with sliding mode disturbance observer has been proposed in this paper. The method of variable boundary layer is a trade-off between control precision and chattering reduction

and it inherits the finite time convergence properties of the double power sliding mode reaching law. In order to reduce the conservatism of the system design

a sliding mode disturbance observer based on super-twisting algorithm was used to estimate the unknown disturbance on the system. A power exponent was added in this algorithm and the simulation experiments verified that increasing the value of the power exponent can accelerate the convergence rate of the unknown disturbance estimations. The stability of the closed-loop system was proved by the Lyapunov stability theory. Finally

a laser cutting translation test stage based on PMLSM was built. The experimental results showed that the proposed control method could satisfy the requirements of the system.

关键词

Keywords

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