To reduce the contouring errors in computer-numerical-control (CNC) contour-following tasks, the cross-coupling controller (CCC) is widely researched and used. However, most existing CCCs are well-designed for two-axis contouring and can hardly be generalized to compensate three-axis curved contour following errors. This paper proposes an equivalent-plane CCC scheme so that most of the two-axis CCCs or flexibly designed algorithms can be utilized for equal control of the three-axis contouring errors. An initial-value regeneration-based Newton method is first proposed to compute the foot point from the actual motion position to the desired contour with a high accuracy, so as to establish the equivalent plane where the estimated three-dimensional contouring-error vector is included. After that, the signed contouring error is computed in the equivalent plane, thus a typical two-axis proportional-integral-differential (PID)-based CCC is utilized for its control. Finally, the two-axis control commands generated by the typical CCC are coupled to three-axis control commands according to the geometry of the established equivalent plane. Experimental tests are conducted to verify the effectiveness of the presented method. The testing results illustrate that the proposed equivalent-plane CCC performs much better than conventional method in both error estimation and error control.
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April 2019
Research-Article
An Equivalent-Plane Cross-Coupling Position Control for Contour-Accuracy Improvement in Three-Axis Free-Form Contour Following Tasks
Jian-Wei Ma,
Jian-Wei Ma
Key Laboratory for Precision and
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: mjw2011@dlut.edu.cn
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: mjw2011@dlut.edu.cn
Search for other works by this author on:
De-Ning Song,
De-Ning Song
Key Laboratory for Precision and
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: deningsong@163.com
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: deningsong@163.com
Search for other works by this author on:
Zhen-Yuan Jia,
Zhen-Yuan Jia
Key Laboratory for Precision and
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: jzyxy@dlut.edu.cn
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: jzyxy@dlut.edu.cn
Search for other works by this author on:
Wen-Wen Jiang,
Wen-Wen Jiang
Key Laboratory for Precision and
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: 2501394555@qq.com
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: 2501394555@qq.com
Search for other works by this author on:
Fu-Ji Wang,
Fu-Ji Wang
Key Laboratory for Precision and
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: wfjsll@dlut.edu.cn
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: wfjsll@dlut.edu.cn
Search for other works by this author on:
Wei Liu
Wei Liu
Key Laboratory for Precision and
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: lw2007@dlut.edu.cn
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: lw2007@dlut.edu.cn
Search for other works by this author on:
Jian-Wei Ma
Key Laboratory for Precision and
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: mjw2011@dlut.edu.cn
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: mjw2011@dlut.edu.cn
De-Ning Song
Key Laboratory for Precision and
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: deningsong@163.com
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: deningsong@163.com
Zhen-Yuan Jia
Key Laboratory for Precision and
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: jzyxy@dlut.edu.cn
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: jzyxy@dlut.edu.cn
Wen-Wen Jiang
Key Laboratory for Precision and
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: 2501394555@qq.com
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: 2501394555@qq.com
Fu-Ji Wang
Key Laboratory for Precision and
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: wfjsll@dlut.edu.cn
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: wfjsll@dlut.edu.cn
Wei Liu
Key Laboratory for Precision and
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: lw2007@dlut.edu.cn
Non-Traditional Machining Technology of
Ministry of Education,
School of Mechanical Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mail: lw2007@dlut.edu.cn
1Corresponding author.
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received August 8, 2017; final manuscript received November 12, 2018; published online December 19, 2018. Assoc. Editor: Douglas Bristow.
J. Dyn. Sys., Meas., Control. Apr 2019, 141(4): 041007 (15 pages)
Published Online: December 19, 2018
Article history
Received:
August 8, 2017
Revised:
November 12, 2018
Citation
Ma, J., Song, D., Jia, Z., Jiang, W., Wang, F., and Liu, W. (December 19, 2018). "An Equivalent-Plane Cross-Coupling Position Control for Contour-Accuracy Improvement in Three-Axis Free-Form Contour Following Tasks." ASME. J. Dyn. Sys., Meas., Control. April 2019; 141(4): 041007. https://doi.org/10.1115/1.4042027
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