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J. Hefei Univ. Tech. (Nat. Sci.)

合肥工业大学学报(自然科学版)

JOURNAL OF HEFEI UNIVERSITY OF TECHNOLOGY (NATURAL SCIENCE)

Competent Authorities: Ministry of Education of the People's Republic of China

Sponsor by: Hefei University of Technology

ISSN 1000-1646, CN 34-1001/N

Research on active disturbance rejection control of high-speed and high-precision electronic gearbox

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高速高精度电子齿轮箱自抗扰控制研究

Journal Information

J. Hefei Univ. Tech. (Nat. Sci.), Dec.2023, Vol.46 No.12: 1622-1628, 1684

DOI: 10.3969/j.issn.1003-5060.2023.12.006

Authors

TIAN Xiaoqing, LU Zhenwen, HUANG Xiaoyong, HAN Jiang, XIA Lian

(School of Mechanical Engineering, Hefei University of Technology, Hefei 230009, China)

Abstract and Keywords

Abstract: To reduce machining errors caused by the relative pose deviation between the tool and the gear due to the time-varying cutting force in gear generating machining, this paper proposes a master-slave electronic gearbox(EGB) control method based on active disturbance rejection control(ADRC). Firstly, the mathematical model of helical gear machining motion control was established based on the motion relationship of the gear hobbing machine axes, and thus the master-slave EGB structure was determined. Then, the mathematical relationship between the tracking deviation of motion axes and the gear profile deviation, pitch deviation and helix deviation in EGB was established, and the compensation amount of each motion axis was solved. The compensation was performed on the slave axis by using the cross-coupling control(CCC) method. Secondly, ADRC-EGB based on proportional integral derivative(PID) control and extended state observer(ESO) was constructed. The disturbance on the slave axis of EGB was predicted and compensated to improve its synchronization accuracy and robustness. Finally, a simulation experiment of gear hobbing motion was carried out on a real-time hardware-in-loop platform. The experimental results showed that compared with the traditional EGB control methods, the proposed EGB control method had higher synchronization control accuracy and anti-disturbance ability.

Keywords: electronic gearbox(EGB); active disturbance rejection control(ADRC); cross coupling control(CCC); contour error; gear generating

作者信息

田晓青，芦振文，黄晓勇，韩江，夏链

（合肥工业大学机械工程学院，安徽合肥230009）

摘要和关键词

摘要: 针对展成法加工齿轮切削力呈周期性变化引起刀具与工件的相对位姿偏差, 导致工件齿轮加工误差的问题, 文章提出一种基于自抗扰控制(active disturbance rejection control, ADRC) 的主从式电子齿轮箱(electronic gearbox, EGB) 控制方法。首先, 分析滚齿加工过程中机床各运动轴之间的联动关系, 建立斜齿轮加工运动控制数学模型, 确立主从式 EGB 结构模型; 其次, 建立 EGB 中各轴跟踪误差与工件齿轮齿廓偏差、齿距偏差和螺旋线偏差之间的数学关系, 采用交叉耦合控制(cross-coupling control, CCC) 补偿方式求解出各运动轴的补偿量, 对从动轴进行补偿; 然后, 构建基于传统比例积分微分(proportional integral derivative, PID) 控制和扩张状态观测器(extended state observer, ESO) 的 ADRC-EGB, 评估 EGB 从动轴所受的干扰并进行补偿, 提高其同步精度和鲁棒性。最后, 在开放式实时半实物仿真平台开展滚齿加工运动模拟实验。结果表明该 EGB 控制结构相较于传统 EGB 具有更高的同步控制精度和抗干扰能力。

关键词: 电子齿轮箱（EGB）；自抗扰控制（ADRC）；交叉耦合控制（CCC）；轮廓误差；齿轮展成加工

Funding

国家重点研发计划资助项目（2020YFE0201000）；国家自然科学基金资助项目（51875161；52075142）

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