Skip to main content
Log in

Calculating the Optimum Two-Link Robot Arm with Respect to Movement Time

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

The use of a projection-iteration method for determining the response time of a nonlinear dynamic system is examined. The method is based on the idea of a finite difference approximation for the corresponding boundary value problem based on the principle of the maximum of a set of finely divided grids, followed by a solution of the grid equations using a shooting approach with the aid of a gradient method.

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. V. P. Vasil'ev, Lectures on Methods for Solving Extreme Value Problems [in Russian], Izd-vo. Mosk. Un-ta., Moscow (1974).

    Google Scholar 

  2. H. P. Geering,L. Guzzella,S. A. R. Hepner, andC. H. Onder, “Time-optimal motions of robots in assembly tasks, ” IEEE Transactions on Automatic Control, AC-31(6), 512–518 (1986).

    Google Scholar 

  3. H. J. Oberle, “Numerical computation of singular control function for a two-link robot arm, ” Lecture Notes in Control and Information Sciences, Vol. 95, Optimal Control (1987), pp. 244–253.

  4. L. L. Hart, “The application of projection-iteration methods to solving optimal control problems for systems of ordinary differential equations, ” Hamburger Beitrage zur Angewandten Mathematik, Preprint No. 152, Universität Hamburg, Hamburg (2000).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hart, L.L. Calculating the Optimum Two-Link Robot Arm with Respect to Movement Time. Journal of Mathematical Sciences 107, 4458–4463 (2001). https://doi.org/10.1023/A:1012525005260

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1012525005260

Keywords

Navigation