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Integral sliding mode control for flexible ball screw drives with matched and mismatched uncertainties and disturbances

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Abstract

The design of servo controllers for flexible ball screw drives with matched and mismatched disturbances and uncertainties is focused to improve the tracking performance and bandwidth of ball screw drives. A two degrees of freedom mass model is established based on the axial vibration characteristics of the transport ball screw, and the controller of an adaptive integral sliding mode is proposed combining the optimal design of state feedback gain matrix K to restrain the vibration and the matched disturbances and uncertainties. Then for the counteraction of the mismatched disturbances and uncertainties, a nonlinear disturbance observer is also developed. The trajectory tracking performance experiments and bandwidth analysis were conducted on experimental setup with the proposed control method. It is proved that the adaptive integral sliding mode controller has a high tracking performance and bandwidth especially for the axial vibration characteristics model of ball screw drives. And the ball screw tracking accuracy also has a considerable improvement with the application of the proposed nonlinear disturbance observer.

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References

  1. ALTINTAS Y, VERL A, BRECHER C, URIARTE L, PRITSCHOW G. Machine tool feed drives [J]. CIRP Annals–Manufacturing Technology, 2011, 60(2): 779–796.

    Article  Google Scholar 

  2. DONG Liang, TANG Wen-cheng. Hybrid modeling and analysis of structural dynamic of a ball screw feed drive system [J]. Mechanics, 2013, 19(3): 316–323.

    Article  MathSciNet  Google Scholar 

  3. VARANASI K K, NAYFEH S A. The dynamics of lead-screw drives: Low-order modeling and experiments [J]. Transactions-American Society of Mechanical Engineers Journal of Dynamic Systems Measurement and Control, 2004, 126(2): 388–396.

    Article  Google Scholar 

  4. DONG Liang, TANG Wen-cheng, BAO Da-fei. Interpolating gain-scheduled H ∞ loop shaping design for high speed ball screw feed drives [J]. ISA Transactions, 2015, 55: 219–226.

    Article  Google Scholar 

  5. SEPASI D, NAGAMUNE R, SASSANI F. Tracking control of flexible ball screw drives with runout effect and mass variation [J]. IEEE Transactions on Industrial Electronics, 2012, 59(2): 1248–1256.

    Article  Google Scholar 

  6. ALTINTAS Y. Manufacturing automation: Metal cutting mechanics, machine tool vibrations, and CNC design [M]. New York: Cambridge University Press, 2012: 25–27.

    Google Scholar 

  7. CHO J U, LE Q N, JEON J W. An FPGA-based multiple-axis motion control chip [J]. IEEE Transactions on Industrial Electronics, 2009, 56(3): 856–870.

    Article  Google Scholar 

  8. YAO B, Al-MAJED M, TOMIZUKA M. High-performance robust motion control of machine tools: An adaptive robust control approach and comparative experiments [J]. IEEE/ASME Transactions on Mechatronics, 1997, 2(2): 63–76.

    Article  Google Scholar 

  9. BOUCHER P, DUMUR D, RODRIGUEZ P. Robustification of CNC controllers for machine tools motor drives [J]. CIRP Annals-Manufacturing Technology, 2003, 52(1): 293–296.

    Article  Google Scholar 

  10. LEE K J, KIM H M, KIM J S. Design of a chattering-free sliding mode controller with a friction compensator for motion control of a ball-screw system [J]. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 2004, 218(5): 369–380.

    Google Scholar 

  11. ALTINTAS Y, ERKORKMAZ K, ZHU W H. Sliding mode controller design for high speed feed drives [J]. CIRP Annals-Manufacturing Technology, 2000, 49(1): 265–270.

    Article  Google Scholar 

  12. ERKORMAZ K, KAMALZADEH A. High bandwidth control of ball screw drives [J]. CIRP Annals-Manufacturing Technology, 2006, 55(1): 393–398.

    Article  Google Scholar 

  13. OKWUDIRE C, ALTINTAS Y. Minimum tracking error control of flexible ball screw drives using a discrete-time sliding mode controller [J]. Journal of Dynamic Systems, Measurement, and Control, 2009, 131(5): 051006–12

    Article  Google Scholar 

  14. GORDON D J, ERKORMAZ K. Accurate control of ball screw drives using pole-placement vibration damping and a novel trajectory prefilter [J]. Precision Engineering, 2013, 7(2): 308–322.

    Article  Google Scholar 

  15. DONG Liang, TANG Wen-cheng. Adaptive backstepping sliding mode control of flexible ball screw drives with time-varying parametric disturbances and uncertainties [J]. ISA Transactions, 2014, 53(1): 110–116.

    Article  MathSciNet  Google Scholar 

  16. HANIFZADEGAN M, NAGAMUNE R. Switching gain-scheduled control design for flexible ball-screw drives [J]. Journal of Dynamic Systems, Measurement, and Control, 2014, 136(1): 014503.

    Article  Google Scholar 

  17. APKARIAN P, ADAMS R J. Advanced gain-scheduling techniques for uncertain systems [J]. IEEE Transactions on Control Systems Technology, 1998, 6(1): 21–32.

    Article  Google Scholar 

  18. LIAO Yu-lei, ZHANG Ming-jun, WAN Lei, LI Ye. Trajectory tracking control for underactuated unmanned surface vehicles with dynamic uncertainties [J]. Journal of Central South University, 2016, 23: 370–378.

    Article  Google Scholar 

  19. UTKIN V, SHI J X. Integral sliding mode in systems operating under uncertainty conditions [C]// Proceedings of the 35th IEEE Conference on Decision and Control. Lobe, Japan: IEEE, 1996: 4591–4596.

    Google Scholar 

  20. BEJARANO F J, FRIDMAN L M, POZNYAK A S. Output integral sliding mode for min-max optimization of multi-plant linear uncertain systems [J]. IEEE Transactions on Automatic Control, 2009, 54(11): 2611–2620.

    Article  MATH  MathSciNet  Google Scholar 

  21. CHEN Wen-hua, BALLANCE D J, GAWTHROP P J, O’REILLY J. A nonlinear disturbance observer for robotic manipulators [J]. IEEE Transactions on Industrial Electronics, 2000, 47(4): 932–938.

    Article  Google Scholar 

  22. CHEN Wen-hua. Nonlinear disturbance observer-enhanced dynamic inversion control of missiles [J]. Journal of Guidance, Control, and Dynamics, 2003, 26(1): 161–166.

    Article  Google Scholar 

  23. YANG Jun, LI Shi-hua, YU Xing-huo. Sliding-mode control for systems with mismatched uncertainties via a disturbance observer [J]. IEEE Transactions on Industrial Electronics, 2013, 60(1): 160–169.

    Article  Google Scholar 

  24. ERKORMAZ K, ALTINTAS Y. High speed CNC system design. Part II: modeling and identification of feed drives [J]. International Journal of Machine Tools and Manufacture, 2001, 41(10): 1487–1509.

    Article  Google Scholar 

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Authors and Affiliations

  1. School of Mechanical Engineering, Southeast University, Nanjing, 211189, China

    Da-fei Bao  (包达飞), Wen-cheng Tang  (汤文成) & Liang Dong  (董亮)

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  1. Da-fei Bao  (包达飞)
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  2. Wen-cheng Tang  (汤文成)
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  3. Liang Dong  (董亮)
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Corresponding author

Correspondence to Wen-cheng Tang  (汤文成).

Additional information

Foundation item: Project(2013ZX04008011) supported by the National Science and Technology Major Projects of China; Project(51675100) supported by the National Natural Science Foundation of China

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Bao, Df., Tang, Wc. & Dong, L. Integral sliding mode control for flexible ball screw drives with matched and mismatched uncertainties and disturbances. J. Cent. South Univ. 24, 1992–2000 (2017). https://doi.org/10.1007/s11771-017-3608-4

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  • DOI: https://doi.org/10.1007/s11771-017-3608-4

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