Skip to main content
Log in

A feedforward sliding mode controller for a robot manipulator

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

Abstract

The problem of tracking an a-priori determined trajectory for a robot manipulator is considered. The overall control scheme of the presented solution consists of a feedforward part and a variable structure regulator in the feedback loop. The outputs of this regulator are of constant amplitudes, which considerably speeds up the on-line calculations. The local stability of the whole system in the presence of parameter uncertainties and bounded disturbances is proved.

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. PaulR.P.C., Robot Manipulators: Mathematics, Programming and Control. MIT Press, Cambridge, 1981.

    Google Scholar 

  2. UtkinV.I., Sliding Modes and Their Applications in Variable Structure Systems (in Russian), Nauka, Moscow, 1974.

    Google Scholar 

  3. Young, K.-K.D., Controller design for a manipulator using theory of variable structure, IEEE Trans. Syst., Man Cybernetics, SMC-8(2), 101–109.

  4. Slotine, J.-J. and Sastry, S.S., Tracking control of non-linear systems using sliding surfaces with application to robot manipulators, Int. J. Control 38(2), 465–492.

  5. Slotine, J.-J., The robust control of robot manipulators, Int. J. Robotics Res. 4(2), 49–64.

  6. Hashimoto, H., Maruyama, K., and Harashima, F., A microprocessor-based robot manipulator control with sliding mode, IEEE Trans. Ind. Electronics IE-34(1), 11–18.

  7. Paden, B.E. and Sastry, S.S., A calculus for computing Filippov's differential inclusion with application to the variable structure control of robot manipulators, IEEE Trans. Circuits Syst. CAS-34(1), 73–82.

  8. Bailey, E. and Arapostathis, A., Simple sliding mode control scheme applied to robot manipulators, Int. J. Control 45(4), 1197–1209.

  9. Yeung, K.S. and Chen, Y.P., A new controller design for manipulators using the theory of variable structure systems, IEEE Trans. Autom. Control AC-33(2), 200–206.

  10. Hollerbach, J.M., Dynamic scaling of manipulators trajectories, Trans. ASME J. Dyn. Syst., Meas. Control 106, 102–106.

  11. Myszkorowski, P., Near-optimal control of robot manipulators, PhD thesis, Technical University of Łódź, 1987.

  12. DemidowitzB.P., Lectures on Mathematical Theory of Stability (in Russian), Nauka, Moscow, 1967.

    Google Scholar 

  13. FilippovA.F., Differential Equations with Discontinuous Right-Hand Side (in Russian), Nauka, Moscow, 1985.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Myszkorowski, P. A feedforward sliding mode controller for a robot manipulator. J Intell Robot Syst 2, 43–52 (1989). https://doi.org/10.1007/BF00450555

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00450555

Key words

Navigation