基于区间分析理论的摩擦补偿研究

姜振海; 徐思晨; 谷东伟; 夏椰林

doi:10.3788/OPE.20172506.1519

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基于区间分析理论的摩擦补偿研究

微纳技术与精密机械 | 更新时间：2020-07-07

- 基于区间分析理论的摩擦补偿研究
- Research on friction compensation based on interval analysis theory
- 光学精密工程 2017年25卷第6期页码：1519-1525
- 作者机构：
  
  1.长春工业大学, 吉林长春 130012
  2.中国石油集团渤海钻探工程有限公司井下作业分公司, 河北任丘 062552
- 作者简介：
  
  姜振海(1981-), 男, 吉林长春人, 工学博士, 讲师, 2008年于长春工业大学获得硕士学位, 2012年于中国科学院长春光学精密机械与物理研究所获得博士学位, 主要从事数值耦合仿真, 计算流体动力学方面的研究。E-mail:jiangzhenhai2008@126.com JIANG Zhen-hai, E-mail:jiangzhenhai2008@126.com
  [ "徐思晨(1992-), 女, 河北任丘人, 硕士研究生, 主要从事数字化设计与制造方面的研究。E-mail:544539191@qq.com" ]
- 基金信息：
  
  国家自然科学基金资助项目(61405193);吉林省教育厅项目支持;吉教科合字[2014]第124号
- DOI：10.3788/OPE.20172506.1519
  中图分类号： TP273
- 收稿日期：2016-04-27，
  
  录用日期：2016-7-18，
  
  纸质出版日期：2017-06-25
- 稿件说明：
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姜振海, 徐思晨, 谷东伟, 等. 基于区间分析理论的摩擦补偿研究[J]. 光学精密工程, 2017,25(6):1519-1525.

Zhen-hai JIANG, Si-chen XU, Dong-wei GU, et al. Research on friction compensation based on interval analysis theory[J]. Optics and precision engineering, 2017, 25(6): 1519-1525.
姜振海, 徐思晨, 谷东伟, 等. 基于区间分析理论的摩擦补偿研究[J]. 光学精密工程, 2017,25(6):1519-1525. DOI： 10.3788/OPE.20172506.1519.

Zhen-hai JIANG, Si-chen XU, Dong-wei GU, et al. Research on friction compensation based on interval analysis theory[J]. Optics and precision engineering, 2017, 25(6): 1519-1525. DOI： 10.3788/OPE.20172506.1519.

摘要

本文采用新型Stribeck模型和区间辨识方法对伺服系统中的摩擦补偿进行了研究。首先，针对Stribeck摩擦模型存在非线性、控制计算量大和不利于控制器设计等缺点，本文对其进行了线性化，并提出一种线性化的Stribeck模型；然后介绍了区间理论的参数辨识方法，并对方法的有效性进行了仿真验证研究；利用所提出的新模型进行了摩擦实验，结果显示该模型可以辨识出摩擦参数，接着设计了前馈摩擦补偿控制器。最后，分别采用阶跃和正弦输入信号进行实验，结果显示采用所设计摩擦补偿器补偿后，两种信号的稳态精度分别提高了26.8%和83.63%，验证了新模型和方法的有效性。本文提出的新型Stribeck模型易于工程应用，所用区间分析理论适用于参数辨识。

Abstract

A new-type Stribeck model and interval analysis theory were used to conduct friction compensation in servo mechanism. First

aiming at defects of Stribeck friction model such as nonlinearity

huge computation

going against the design of the control and others which are subject to be linearization

a kind of linearized Stribeck model was proposed. Then the parameter identification method of interval theory was introduced and simulation was performed to verify the effectivity of interval analysis theory. Finally

the mentioned new model was used to conduct friction experiment and the friction parameters were identified

and feedforward friction compensation controller was furthermore designed. By taking step signal and sinusoidal signal as input signal separately

the performance of designed friction compensator was verified

and the results indicate that the stability accuracy has been separately improved 26.8% and 83.63%

which verifies the validity of new model and the method. The new-type Stribeck model is subject to be used in engineering application and the interval analysis theory used in this paper is applicable to parameter identification.

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references

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