The contour error (CE) of machining processes is defined as the difference between the desired and actual produced shape. Two major factors contributing to CE are axis position error and tool deflection. A large amount of research work formulates the CE in convenient locally defined task coordinate frames that are subject to significant approximation error. The more accurate global task coordinate frame (GTCF) can be used, but transforming the control problem to the GTCF leads to a highly nonlinear control problem. An adaptive robust control (ARC) approach is designed to control machine position in the GTCF, while additionally accounting for tool deflection, to minimize the CE. The combined GTCF/ARC approach is experimentally validated by applying the control to circular contours on a three axis milling machine. The results show that the proposed approach reduces CE in all cases tested.
Issue Section:
Technical Brief
References
1.
Ramesh
, R.
, Mannan
, M. A.
, and Poo
, A. N.
, 2005
, “Tracking and Contour Error Control in CNC Servo Systems
,” Int. J. Mach. Tools Manuf.
, 45
(3
), pp. 301
–326
.10.1016/j.ijmachtools.2004.08.0082.
Koren
, Y.
, and Lo
, C. C.
, 1991
, “Variable-Gain Cross-Coupling Controller for Contouring
,” CIRP Ann.
, 40
(1
), pp. 371
–374
.10.1016/S0007-8506(07)62009-53.
Chiu
, G. T. C.
, and Tomizuka
, M.
, 2001
, “Contouring Control of Machine Tool Feed Drive Systems: A Task Coordinate Frame Approach
,” IEEE Trans. Control Syst. Technol.
, 9
(1
), pp. 130
–139
.10.1109/87.8967544.
Uchiyama
, N.
, 2008
, “Contouring Control of Biaxial Feed Drive Systems With Non-Linear Friction Compensation
,” Proc. Inst. Mech. Eng., Part I
, 222
(3
), pp. 153
–162
.10.1243/09596518JSCE4295.
Luo
, T.
, Lu
, W.
, Krishnamurthy
, K.
, and McMillin
, B.
, 1998
, “A Neural Network Approach for Force and Contour Error Control in Multi-Dimensional End Milling Operations
,” Int. J. Mach. Tools Manuf.
, 38
(10–11
), pp. 1343
–1359
.10.1016/S0890-6955(97)00061-86.
Chen
, S.
, and Wu
, K.
, 2007
, “Contouring Control of Smooth Paths for Multiaxis Motion Systems Based on Equivalent Errors
,” IEEE Trans. Control Syst. Technol.
, 15
(6
), pp. 1151
–1158
.10.1109/TCST.2007.8997197.
Yao
, B.
, Chan
, S. P.
, and Wang
, D. W.
, 1994
, “Unified Formulation of Variable Structure Control Schemes for Robot Manipulators
,” IEEE Trans. Autom. Control
, 39
(2
), pp. 371
–376
.10.1109/9.2723378.
Yao
, B.
, Hu
, C.
, and Wang
, Q.
, 2012
, “An Orthogonal Global Task Coordinate Frame for Contouring Control of Biaxial Systems
,” IEEE/ASME Trans. Mechatron.
, 17
(4
), pp. 622
–634
.10.1109/TMECH.2011.21182269.
Chen
, C. L.
, and Lin
, K. C.
, 2008
, “Observer-Based Contouring Controller Design of a Biaxial Stage System Subject to Friction
,” IEEE Trans. Control Syst. Technol.
, 16
(2
), pp. 322
–329
.10.1109/TCST.2007.90310710.
Qian
, K.
, and Zhang
, Y.
, 2014
, “Bilinear Model Predictive Control of Plasma Keyhole Pipe Welding Process
,” ASME J. Manuf. Sci. Eng.
, 136
(3
), p. 031002
.10.1115/1.402533711.
Seo
, J.
, Khajepour
, A.
, and Huissoon
, J. P.
, 2014
, “Comprehensive Online Control Strategies for Plastic Injection Molding Process
,” ASME J. Manuf. Sci. Eng.
, 136
(4
), p. 041009
.10.1115/1.402749112.
Tang
, L.
, and Landers
, R. G.
, 2012
, “Predictive Contour Control With Adaptive Feed Rate
,” IEEE/ASME Trans. Mechatron.
, 17
(4
), pp. 669
–679
.10.1109/TMECH.2011.211932413.
Zhang
, J.
, 2012
, “An Integrated Contour Error Real-Time Self-Control Method
,” 4th International Conference on Intelligent Human-Machine Systems and Cybernetics
, Nanchang, Jiangxi, China
, Aug. 26–27, pp. 67
–71
.14.
Sencer
, B.
, and Altintas
, Y.
, 2009
, “Modeling and Control of Contouring Errors for Five-Axis Machine Tools—Part II: Precision Contour Controller Design
,” ASME J. Manuf. Sci. Eng.
, 131
(3
), p. 031007
.10.1115/1.312333615.
Lin
, F.
, Chou
, P.
, Shieh
, P.
, and Chen
, S.
, 2009
, “Robust Control of an LUSM-Based X-Y-Theta Motion Control Stage Using an Adaptive Interval Type-2 Fuzzy Neural Network
,” IEEE Trans. Fuzzy Syst.
, 17
(1
), pp. 24
–38
.10.1109/TFUZZ.2008.200593816.
Yao
, B.
, 1997
, “High Performance Adaptive Robust Control of Nonlinear Systems: A General Framework and New Schemes
,” Proceedings of the 36th IEEE Conference on Decision and Control
, San Diego, CA, Dec. 10–12, pp. 2489
–2494
.17.
Wang
, L. M.
, Jin
, F. Y.
, and Sun
, Y. B.
, 2009
, “Contour Control for Direct Drive XY Table
,” IEEE International Conference on Mechatronics and Automation
, Changchun, China
, Aug. 9–12, pp. 4919
–4923
.18.
Morimoto
, Y.
, Suzuki
, N.
, Kaneko
, Y.
, and Isobe
, M.
, 2014
, “Vibration Control of Relative Tool-Spindle Displacement for Computer Numerically Controlled Lathe With Pipe Frame Structure
,” ASME J. Manuf. Sci. Eng.
, 136
(4
), p. 044502
.10.1115/1.402759419.
Suh
, S. H.
, Cho
, J. H.
, and Hascoet
, J. Y.
, 1996
, “Incorporation of Tool Deflection in Tool Path Computation: Simulation and Analysis
,” J. Manuf. Syst.
, 15
(3
), pp. 190
–199
.10.1016/0278-6125(96)89571-920.
Law
, K. M. Y.
, and Geddam
, A.
, 2003
, “Error Compensation in the End Milling of Pockets: A Methodology
,” J. Mater. Process. Technol.
, 139
(1–3
), pp. 21
–27
.10.1016/S0924-0136(03)00176-621.
Uddin
, M. S.
, Ibaraki
, S.
, Matsubara
, A.
, Nishida
, S.
, and Kakino
, Y.
, 2007
, “A Tool Path Modification Approach to Cutting Engagement Regulation for the Improvement of Machining Accuracy in 2D Milling With a Straight End Mill
,” ASME J. Manuf. Sci. Eng.
, 129
(6
), pp. 1069
–1079
.10.1115/1.275252622.
Tang
, Y.
, Xu
, C. Y.
, and Jackson
, M.
, 2009
, “Geometrical Adaptive Controller for Tool Deflection Compensation in Helical End Milling Processes
,” Proceedings of the ASME
International Manufacturing Science and Engineering Conference
, West Lafayette, IN, Oct. 4–7, pp. 377
–383
.10.1115/MSEC2009-8421823.
Li
, H.
, Zhou
, X.
, and Chen
, Y. Q.
, 2005
, “Iterative Learning Control for Cross-Coupled Contour Motion Systems
,” IEEE International Conference on Mechatronics and Automation
, Niagara Falls, ON, Canada, July 29–Aug. 1, pp. 1468
–1472
.24.
Barton
, K. L.
, and Alleyne
, A. G.
, 2008
, “A Cross-Coupled Iterative Learning Control Design for Precision Motion Control
,” IEEE Trans. Control Syst. Technol.
, 16
(6
), pp. 1218
–1231
.10.1109/TCST.2008.91943325.
Xu
, L.
, and Yao
, B.
, 2000
, “Coordinated Adaptive Robust Contour Tracking of Linear-Motor-Driven Tables in Task Space
,” Proceedings of the 39th IEEE Conference on Decision and Control
, Sydney, NSW
, Dec. 12–15, pp. 2430
–2435
.26.
Hu
, C.
, Yao
, B.
, and Wang
, Q.
, 2010
, “Coordinated Adaptive Robust Contouring Controller Design for an Industrial Biaxial Precision Gantry
,” IEEE/ASME Trans. Mechatron.
, 15
(5
), pp. 728
–735
.10.1109/TMECH.2009.203229227.
Rober
, S. J.
, and Shin
, Y. C.
, 1995
, “Modeling and Control of CNC Machines Using a PC-Based Open-Architecture Controller
,” Mechatronics
, 5
(4
), pp. 401
–420
.10.1016/0957-4158(95)00009-T28.
Xu
, C. Y.
, and Shin
, Y. C.
, 2007
, “Control of Cutting Force for Creep-Feed Grinding Processes Using a Multi-Level Fuzzy Controller
,” ASME J. Dyn. Syst. Meas. Control
, 129
(4
), pp. 480
–492
.10.1115/1.271823829.
Axinte
, D.
, and Gindy
, N.
, 2004
, “Assessment of the Effectiveness of a Spindle Power Signal for Tool Condition Monitoring in Machining Processes
,” Int. J. Prod. Res.
, 42
(13
), pp. 2679
–2691
.10.1080/0020754041000167164230.
Javorek
, B.
, Fussell
, B. K.
, and Jerard
, R. B.
, 2008
, “Calibration of a Milling Force Model Using Feed and Spindle Power Sensors
,” International Manufacturing Science and Engineering Conference
, Evanston, IL, Oct. 7–10, pp. 1
–10
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