Skip to main content
Log in

Theoretical Investigation of Time Suboptimal Control of Industrial Manipulators Along Specified Paths

  • Published:
Journal of Intelligent and Robotic Systems Aims and scope Submit manuscript

Abstract

A method for the time suboptimal control of an industrial manipulator from an initial position and orientation to a final position and orientation as it moves along a specified path is proposed. Nonlinear system equations that describe the manipulator motion are linearized at each time step along the path. A method which gives the control inputs (joint angular velocities) for time suboptimal control of the manipulator is developed. In the formulation, joint angular velocity and acceleration limitations are also taken into consideration. A six degree of freedom elbow type manipulator is used in numerical examples to verify the method developed.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bobrow, J.E., Dubowsky S., Gibson, J.S.: Time-optimal control of robotic manipulators along specified paths. Int. J. Rob. Res. 4(3), 3–17 (1985)

    Article  Google Scholar 

  2. Shin, K.G., McKay, N.D.: Minimum-time control of robotic manipulators with geometric path constraints. IEEE Trans. Automat. Contr. AC-30(6), 531–541 (1985) June

    Article  Google Scholar 

  3. Ailon, A., Langholz, G.: On the existence of time-optimal control of mechanical manipulators. J. Optim. Theory Appl. 46(1), 1–21 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  4. Shiller, Z., Lu, H.-H.: Computation of path constrained time optimal motions with dynamic singularities. ASME J. Dyn. Syst. Meas. Control 114, 34–40 (1992)

    MATH  Google Scholar 

  5. Chen, Y., Chien, S.Y.-P., Desrochers, A.A.: General structure of time-optimal control of robotic manipulators moving along prescribed paths. Int. J. Control 56(4), 767–782 (1992)

    MATH  MathSciNet  Google Scholar 

  6. Shiller, Z.: Time-energy optimal control of articulated systems with geometric path constraints. ASME J. Dyn. Syst. Meas. Control 118, 139–143 (1996)

    MATH  Google Scholar 

  7. Butler, J., Tomizuka, M.: A suboptimal reference generation technique for robotic manipulators following specified paths. ASME J. Dyn. Syst. Meas. Control 114, 524–527 (1992) September

    Article  Google Scholar 

  8. Chen, Y., Desrochers, A.A.: Minimum-time control laws for robotic manipulators. Int. J. Control 57(1), 1–27 (1993)

    MATH  MathSciNet  Google Scholar 

  9. Chen, Y., Huang, J.: An improved computation of time-optimal control trajectory for robotic point-to-point motion. Int. J. Control 65(1), 177–194 (1996)

    MATH  MathSciNet  Google Scholar 

  10. Willigenburg, L.G.V., Loop, R.P.H.: Computations of time-optimal controls applied to rigid manipulators. Int. J. Control 54(5), 1097–1117 (1991)

    MATH  Google Scholar 

  11. Geering, H.P., Guzzella, L., Hepner, S.A.R., Onder, C.H.: Time-optimal motions of robots in assembly tasks. IEEE Trans. Automat. Contr. AC-31(6), 512–518 (1986) June

    Article  Google Scholar 

  12. Kilicaslan, S., Ercan, Y.: Time suboptimal control of industrial manipulators along specified paths while keeping an end-effector orientation unchanged. Robotica 21, 153–161 (2003)

    Article  Google Scholar 

  13. Kilicaslan, S., Ercan, Y.: Theoretical investigation of a time-suboptimal control method for rotational motions of industrial manipulators end-effectors. J Intell Robot Syst 44, 71–92 (2005) (DOI: 10.1007/s10846-005-9023-3)

  14. Paul, R.P.: Robot Manipulators: Mathematics, Programming, and Control. MIT, Massachusetts (1984)

    Google Scholar 

  15. Bascuhadar, I.: Design and Construction of a Robotic Manipulator with Six Revolute Joints, MSc Thesis. Department of Mechanical Engineering, Middle East Technical University, Ankara, Turkey (1989) February

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sinan Kilicaslan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kilicaslan, S., Ercan, Y. Theoretical Investigation of Time Suboptimal Control of Industrial Manipulators Along Specified Paths. J Intell Robot Syst 49, 253–277 (2007). https://doi.org/10.1007/s10846-007-9141-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10846-007-9141-1

Keywords

Navigation