Skip to main content

Dynamic Decoupling of Robot Manipulators: A Review with New Examples

  • Chapter
  • First Online:
Dynamic Decoupling of Robot Manipulators

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 56))

Abstract

In this chapter, a review of the main methods permitting to achieve the dynamic decoupling of robot manipulators is presented. The design approaches based on the variation of mechanical parameters are disclosed via three sub-groups: decoupling of dynamic equations via mass redistribution; decoupling of dynamic equations via actuator relocation and decoupling of dynamic equations via addition of auxiliary links. The last approach is illustrated via two examples. In the first solution, the optimal design is achieved via gears used as counterweights. It is allows a considerable reduction of the total masses of links of the decoupled manipulator. In the second solution, the dynamic decoupling of robot manipulators is achieved by using an epicyclic gear train. Special attention is paid to the dynamic decoupling of robot manipulators through the use of the double integrator. The second-order linear and time-invariant dynamical system, called double integrator, is one of the most fundamental systems in control applications. It can be considered as single-degree-of-freedom translational and rotational motion. The present review considers in detail the aim of this solution, as well as the advantages of the joint application development inclosing mechanical and control solutions.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 109.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Descusse J, Lafay JF, Malabre M (1988) Solution to Morgan’s problem. IEEE Trans Autom Control 33(8):732–739

    Article  MathSciNet  MATH  Google Scholar 

  2. Rocco P (1996) Stability of PID control for industrial robot arms. IEEE Trans Robot Autom 12(4):606–614

    Article  Google Scholar 

  3. Santibanez V, Kelly R (1998) A class of nonlinear PID global regulators for robot manipulators. IEEE 3601–3606

    Google Scholar 

  4. Senthil Kumar J, Karthigai Amutha E (2014) Control and tracking of robotic manipulator using PID controller and hardware in Loop Simulation. IEEE 1–3

    Google Scholar 

  5. Su Y, Zheng C, Mullerz PC (2007) Global asymptotic stability of PID controller for robotic manipulators. 2007 international conference on mechatronics and automation 3244–3249

    Google Scholar 

  6. Craig JJ (2005) Introduction to robotics: mechanics and control. Pearson Prentice Hall Upper Saddle River

    Google Scholar 

  7. Ang KH, Chong G, Yun Li (2005) PID control system analysis, design, and technology. IEEE Trans Control Syst Technol 13(4):559–576

    Google Scholar 

  8. Ouyang PR, Pano V, Dam T (2015) PID position domain control for contour tracking. Int J Syst Sci 46(1):111–124

    Article  MATH  Google Scholar 

  9. Asada H, Slotine J-JE (1986b) Robot analysis and control. Wiley

    Google Scholar 

  10. Lasalle JP Lefschetz (1961) Stability by Lyapunov’s direct method. Academic Press New York

    Google Scholar 

  11. Ouyang PR, Zhang WJ, Gupta MM (2006) An adaptive switching learning control method for trajectory tracking of robot manipulators. Mechatronics 16(1):51–61

    Article  Google Scholar 

  12. Atashzar SF, Talebi HA, Towhidkhah F (2010) A robust feedback linearization approach for tracking control of flexible-link manipulators using an EKF disturbance estimator. IEEE 1791–1796

    Google Scholar 

  13. Levine WS (1996) The control handbook. CRC Press

    Google Scholar 

  14. Hocking LM (1991) Optimal control: an introduction to the theory with applications. Clarendon Press

    Google Scholar 

  15. Yang HS, Slotine J-JE (1994) Fast algorithms for near-minimum-time control of robot manipulators communication. Int J Robot Res 13(6):521–532

    Article  Google Scholar 

  16. Chen Y, Desrochers AA (1989) Structure of minimum-time control law for robotic manipulators with constrained paths. Proceedings of the IEEE international conference on robotics and automation 971–976

    Google Scholar 

  17. Rao VG, Bernstein DS (2001) Naive control of the double integrator. IEEE Control Syst 21(5):86–97

    Article  Google Scholar 

  18. Bhat SP, Bernstein DS, and others (1998) Continuous finite-time stabilization of the translational and rotational double integrators. IEEE Trans Autom Control 43(5):678–682

    Google Scholar 

  19. Slotine J-JE, Li W and others (1991) Applied nonlinear control. Prentice-Hall Englewood Cliffs, NJ

    Google Scholar 

  20. Arakelian V, Le Baron J-P, Mkrtchyan M (2016) Design of Scotch yoke mechanisms with improved driving dynamics. Proc Inst Mech Eng K: J Multi-Body Dyn 230(4):379–386

    Google Scholar 

  21. Youcef-Toumi K, Asada H (1986) The design of open-loop manipulator arms with decoupled and configuration-invariant inertia tensors. IEEE International Conference on Robotics and Automation 2018–2026

    Google Scholar 

  22. Youcef-Toumi K, Asada H (1987) The design of open-loop manipulator arms with decoupled and configuration-invariant inertia tensors. J Dyn Syst Meas Contr 109(3):268–275

    Article  MATH  Google Scholar 

  23. Gompertz RS, Yang DC (1989) Performance evaluation of dynamically linearized and kinematically redundant planar manipulators. Robot comput-Integr Manuf 5(4):321–331

    Article  Google Scholar 

  24. Belyanin PN, Konstantin F, Aron K, Alfred K (1981) Mechanical arm

    Google Scholar 

  25. Coelho TAH, Yong L, Alves VFA (2004) Decoupling of dynamic equations by means of adaptive balancing of 2-dof open-loop mechanisms. Mech Mach Theory 39(8):871–881

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. Arakelian .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Arakelian, V., Xu, J., Le Baron, J.P. (2018). Dynamic Decoupling of Robot Manipulators: A Review with New Examples. In: Arakelian, V. (eds) Dynamic Decoupling of Robot Manipulators. Mechanisms and Machine Science, vol 56. Springer, Cham. https://doi.org/10.1007/978-3-319-74363-9_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-74363-9_1

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-74362-2

  • Online ISBN: 978-3-319-74363-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics