Journal of Mechanical Science and Technology

, Volume 33, Issue 4, pp 1875–1889 | Cite as

Research on flexible dynamics of a 6-DOF industrial robot and residual vibration control with a pre-adaptive input shaper

  • Tie ZhangEmail author
  • Kangyu Lin
  • Aimin Zhang


The residual vibration caused by joint flexibility tends to be nonlinear and time-varying due to the complicated dynamics characteristics of 6-DOF industrial robot. To address the time-varying residual vibration problem, this paper proposes a pre-adaptive input shaping method. By simplifying the 6-DOF industrial robot standard flexible dynamics equation, the flexible dynamical parameters can be identified without additional joint encoders or other measuring instrument, while the natural frequency of each joint can also be calculated from the identified dynamical parameters. Then by setting the calculated natural frequency as the initial condition, an iterative learning scheme based on the secant method can be applied to obtain a better natural frequency estimate. Finally, using the iteration results, the input shaper’s parameters can be updated, which makes the shaper adapt to the variation of system parameters. The results of model validation show that the simplified dynamic model can reflect the robot dynamic characteristics accurately. The vibration experimental results demonstrate the effectiveness of the proposed pre-adaptive input shaper in suppressing the residual vibration.


Industrial robot Adaptive input shaping Flexible dynamics Residual vibration control 


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  1. [1]
    J.-H. Park and S. Rhim, Experiments of optimal delay extraction algorithm using adaptive time-delay filter for improved vibration suppression, J. of Mechanical Science and Technology, 23 (4) (2009) 997–1000.CrossRefGoogle Scholar
  2. [2]
    S.-W. Hwang, J.-H. Bak, J. Yoon, J.-H. Park and J.-O. Park, Trajectory generation to suppress oscillations in under-constrained cable-driven parallel robot, J. of Mechanical Science and Technology, 30 (12) (2016) 5689–5697.CrossRefGoogle Scholar
  3. [3]
    W. Singhose, Command Generation for Flexible Systems, Massachusetts, MA, USA: MIT (1997) 61–112.Google Scholar
  4. [4]
    J. Vaughan, A. Yano and W. Singhose, Comparison of robust input shapers, J. of Sound and Vibration, 315 (2008) 797–815.CrossRefGoogle Scholar
  5. [5]
    W. Singhose, L. Porter and N. Singer, Vibration reduction using multi-hump extra-insensitive input shapers, Proceedings of American Control Conference (Seattle, WA), Pis-cataway, NJ, USA (1995) 3830–3834.Google Scholar
  6. [6]
    W. Singhose, E. Biediger, Y.-H. Chen and B. Mills, Reference command shaping using specified-negative-amplitude input shapers for vibration reduction, J. of the Dynamic Systems, Measurement and Control, 126 (2004) 210–214.CrossRefGoogle Scholar
  7. [7]
    W. Singhose, W. Seering and N. Singer, Time-optimal negative input shapers, J. of the Dynamic Systems, Measurement and Control, 119 (1997) 198–205.CrossRefzbMATHGoogle Scholar
  8. [8]
    S. Rhim and W. Book, Noise effect on adaptive command shaping methods for flexible manipulator control, IEEE Transaction on Control Systems Technology, 9 (1) (2001) 84–92.CrossRefGoogle Scholar
  9. [9]
    S. Rhim and W. Book, Adaptive time-delay command shaping filter for flexible manipulator control, IEEE/ASME Transaction on Mechatronics, 9 (4) (2004) 619–626.CrossRefGoogle Scholar
  10. [10]
    A. Tzes and S. Yurkovich, An adaptive input shaping control scheme for vibration suppression in slewing flexible structures, IEEE Transactionon Control Systems Technology, 1 (2) (1993) 114–121.CrossRefGoogle Scholar
  11. [11]
    F. Khorrami, S. Jain and A. Tzes, Experimental results on adaptive nonlinear control and input preshaping for multi-link flexible manipulators, Automatica, 31 (1) (1995) 83–97.MathSciNetCrossRefzbMATHGoogle Scholar
  12. [12]
    E. Pereira, J. Trapero, I. Diaz and V. Feliu, Adaptive input shaping for manoeuvring flexible structures using algebraic identification technique, Automatica, 45 (2009) 1046–1051.MathSciNetCrossRefzbMATHGoogle Scholar
  13. [13]
    E. Pereira, J. Trapero, I. Diaz and V. Feliu, Adaptive input shaping for single-link flexible manipulators using an algebraic identification, Control Engineering Practice, 20 (2012) 138–147.CrossRefGoogle Scholar
  14. [14]
    J. Park and P.-H. Chang, Learning input shaping technique for non-LTI systems, J. of Dynamic Systems, Measurement, and Control, 123 (2) (2001) 288–293.CrossRefGoogle Scholar
  15. [15]
    J. Park, P.-H. Chang, H.-S. Park and E. Lee, Design of learning input shaping technique for residual vibration suppression in an industrial robot, IEEE/ASME Transaction on Mechatronics, 11 (1) (2006) 55–65.CrossRefGoogle Scholar
  16. [16]
    H.-S. Park, H. Chang and J.-S. Hur, Time-varying input shaping technique applied to vibration reduction of an industrial robot, Control Engineering Practice, 13 (2005) 121–130.CrossRefGoogle Scholar
  17. [17]
    H. Kojima, S. Ieda and S. Kasai, Frequency-tuning input-shaped manifold-based switching control for underactuated space robot equipped with flexible appendages, Acta As-tronautica, 101 (2014) 42–54.CrossRefGoogle Scholar
  18. [18]
    M. Spong, Modeling and control of elastic joint robots, J. of Dynamic Systems, Measurement, and Control, 109 (1) (1987) 310–319.CrossRefzbMATHGoogle Scholar
  19. [19]
    M. Pham, M. Gautier and P. Poignet, Identification of joint stiffness with bandpass filtering, Proceedings of the 2001 IEEE International Conference on Robotics and Automation, Piscataway, NJ, USA (2001) 2867–2872.Google Scholar
  20. [20]
    J. Swevers et al., Optimal robot excitation and identification, IEEE Transactions on Robotics and Automation, 13 (5) (1997) 730–740.CrossRefGoogle Scholar
  21. [21]
    L. Y. Pao, Analysis of the frequency, damping, and total insensitivities of input shaping designs, J. of Guidance, Control and Dynamics, 20 (5) (1997) 909–915.CrossRefzbMATHGoogle Scholar
  22. [22]
    M. O. T. Cole and W. Theeraphong, A direct method of adaptive FIR input shaping for motion control with zero residual vibration, IEEE Transaction on Mechatronics, 18 (1) (2013) 316–327.CrossRefGoogle Scholar

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© KSME & Springer 2019

Authors and Affiliations

  1. 1.School of Mechanical & Automotive EngineeringSouth China University of TechnologyGuangzhouChina

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