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A control strategy with motion smoothness and machining precision for multi-axis coordinated motion CNC machine tools

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Abstract

The advanced manufacture technology requires that multi-axis coordinated motion computer numerical control (CNC) machine tools have the capability of high smoothness and high precision. At present, the study of the motion smoothness mainly concentrates on the acceleration and deceleration control method and the look-ahead process of velocity planning in the interpolation stage. The control strategy of the contouring error mainly focuses on tracking error control, cross-coupling control, and optimal control. In order to improve the motion smoothness and contouring precision for multi-axis high-speed CNC machine tools, a multi-axis modified generalized predictive control approach was presented in this paper. In the control strategy, the estimation models of tracking error, contouring error, velocity error, and acceleration error were structured separately. A new improved quadratic performance index was proposed to guarantee the minimum of these errors. Generalize predictive control was also introduced, a multi-axis generalized predictive control model was deduced for motion smoothness and machining precision for multi-axis coordinated motion CNC system, and an approved multi-axis generalized predictive controller based on the model was designed in this paper. The proposed predicted control approach was evaluated by simulation and experiment of circular, noncircular, and space line trajectories, respectively. These simulative and experimental results demonstrated that the proposed control strategy can significantly improve the motion smoothness and contouring precision. Therefore, the new position control method can be used for the servo control system of multi-axis coordinated motion CNC system, which increases motion smoothness and machining precision of CNC machine tools.

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References

  1. Zhang X, Zhu KY, Yang XY (2009) Cross-coupled model predictive control for multi-axis coordinated motion systems. ICACC 2009:158–162

    Google Scholar 

  2. Ramesh R, Mannan MA, Poo AN (2005) Tracking and contour error control in CNC servo systems. Int J Mach Tool Manuf 45:301–326

    Article  Google Scholar 

  3. Charlie AE, Rida TF (2012) High-speed cornering by CNC machines under prescribed bounds on axis accelerations and tool path contour error. Int J Adv Manuf Technol 58:327–338

    Article  Google Scholar 

  4. Xu RZ, Xie L, Li CX, Du DS (2008) Adaptive parametric interpolation scheme with limited acceleration and jerk values for NC machining. Int J Adv Manuf Technol 36:343–354

    Article  Google Scholar 

  5. Hu J, Xiao LJ, Wang YH, Wu ZY (2006) An optimal feedrate model and solution algorithm for a high-speed machine of small line blocks with look-ahead. Int J Adv Manuf Technol 28:930–935

    Article  Google Scholar 

  6. Luo FY, Zhou YF, Yin J (2007) A universal velocity profile generation approach f or high-speed machining of small line segments with look-ahead. Int J Adv Manuf Technol 35:505–518

    Article  Google Scholar 

  7. Zhang LB, You YP, He J, Yang XF (2011) The transition algorithm based on parametric spline curve for high-speed machining of continuous short line segments. Int J Adv Manuf Technol 52:245–254

    Article  Google Scholar 

  8. Long YH, Wu W, Zhou ZD (2008) Self-adjustment computing method for time-partition interpolation in motion trajectory control of CNC machine tools. Int J Adv Manuf Technol 36:558–569

    Article  Google Scholar 

  9. Zhang LB, You YP, He J, Liu J (2010) Velocity control method for continuous short line segment high-speed machining based on transition of parametric spline. Adv Mater Res 97–101:2407–2411

    Article  Google Scholar 

  10. Lin MT, Tsai MS, Yau HT (2002) Development of a dynamics-based NURBS interpolator with real-time look-ahead algorithm. Int J Mach Tool Manuf 47:2246–2262

    Article  Google Scholar 

  11. Erkorkmaz K, Altintas Y (2005) Quintic spline interpolation with minimal feed fluctuation. J Manuf Sci E-T ASME 127:339–349

    Article  Google Scholar 

  12. Cheng MY, Su KH, Wang SF (2009) Contour error reduction for free-form contour following tasks of biaxial motion control systems. Robot Cim-int Manuf 25:323–333

    Article  Google Scholar 

  13. Renton D, Elbestawi MA (2000) High speed servo control of multi-axis machine tools. Int J Mach Tool Manuf 40:539–559

    Article  Google Scholar 

  14. Zhong Q, Shi Y, Mo J, Huang S (2002) A linear cross-coupled control system for high-speed machining. Int J Adv Manuf Technol 19:558–563

    Article  Google Scholar 

  15. Cheng MY, Lee CC (2007) Motion controller design for contour-following tasks based on real-time contour error estimation. IEEE Trans Ind Electron 54:1686–1697

    Article  Google Scholar 

  16. Koren Y (1980) Cross-coupled biaxial computer for manufacturing systems. J Dyn Syst-T ASME 102:265–272

    Article  MATH  Google Scholar 

  17. Yeh SS, Hsu PL (2003) Analysis and design of integrated control for multi-axis motion systems. IEEE Trans Control Syst Technol 11:375–382

    Article  Google Scholar 

  18. Chiu GC, Tomizuka M (2001) Contouring control of machine tool feed drive systems: a task coordinate frame approach. IEEE Trans Control Syst Technol 9:130–139

    Article  Google Scholar 

  19. Lo C, Chung CY (1999) Tangential-contouring controller for biaxial motion control. J Dyn Syst-T ASME 121:126–129

    Article  Google Scholar 

  20. Tang L, Robert G (2011) Predictive contour control with adaptive feed rate. IEEE-ASME T Mech 99:1–11

    Google Scholar 

  21. Zhu KY, Chen BP (2001) Cross-coupling design of generalized predictive control with reference models. P I Mech Eng-J Sys 215:375–384

    Article  Google Scholar 

  22. Khalick AE, Uchyiama N (2010) Model predictive approach to precision contouring control for feed drive systems. J Comput Sci 8:844–851

    Google Scholar 

  23. Cheng CW, Tsai MC (2004) Real-time variable feed rate NURBS curve interpolator for CNC machining. Int J Adv Manuf Technol 23:865–873

    Google Scholar 

  24. Peng CC, Chen CL (2007) Biaxial contouring control with friction dynamics using a contour index approach. Int J Mach Tool Manuf 47:1542–1555

    Article  Google Scholar 

  25. Su KH, Cheng MY (2008) Contouring accuracy improvement using cross-coupled control and position error compensator. Int J Mach Tool Manuf 48:1444–1453

    Article  Google Scholar 

  26. Cheng MY, Su KH (2009) Contouring accuracy improvement using a tangential contouring controller with a fuzzy logic-based federate regulator. Int J Adv Manuf Technol 41:75–85

    Article  Google Scholar 

  27. Erkorkmaz K, Yeung CH, Altintas Y (2006) Virtual CNC system. Part II. High speed contouring application. Int J Mach Tool Manuf 46:1124–1138

    Article  Google Scholar 

  28. Gasparetto A, Zanotto V (2007) A new method for smooth trajectory planning of robot manipulators. Mech Mach Theory 42:455–471

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Li-Bing Zhang.

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Zhang, LB., You, YP. & Yang, XF. A control strategy with motion smoothness and machining precision for multi-axis coordinated motion CNC machine tools. Int J Adv Manuf Technol 64, 335–348 (2013). https://doi.org/10.1007/s00170-012-4019-1

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  • DOI: https://doi.org/10.1007/s00170-012-4019-1

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