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NUMERICAL SOLUTION OF ROBOT ARM MODEL USING STWS AND RKHEM TECHNIQUES

  • D. Paul Dhayabaran
  • E.C.Henry Amirtharaj
  • K. Murugesan
  • D.J. Evans

Abstract

The primary objective of this paper is to study the parameters governing the robot arm model by way of finding the discrete solutions at different values of time ‘t’ for the system of second order equations, which actually represents the dynamics of the arm model of the robot of two degree freedom. In this paper, it is also intended to demonstrate the effectiveness of the proposed numerical methods, Single Term Walsh Series (STWS) technique and extended RK method based on Heronian Mean (RKHeM), in order to find numerical solution for the robot arm model.

Keywords

Discrete Solution Robot Dynamic Degree Freedom Robotic Motion Linear Model Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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REFERENCES

  1. 1.
    H. Krishnan and N. Harris Mcclamroch (1994), Tracking in non-linear differential – algebra control systems with applications to constrained robot systems. Automatica, 30, 12, pp. 1885–1897.MATHMathSciNetGoogle Scholar
  2. 2.
    K. Warwick and A. Pugh (1990), Robot Control – Theory and Applications. Peter Peregrinus Ltd.Google Scholar
  3. 3.
    H.P. Huang and W.L. Tseng (May 1991), A symptotic observer design for constrained robot systems. IEE Proceedings Pt – D, 138, 3, pp. 211–216.MATHGoogle Scholar
  4. 4.
    D. Paul Dhayabaran (December 2000), A study on second order singular systems using extended RK methods and STWS technique. Ph.D. Thesis. Bharathidasan University, Tamil Nadu, India.Google Scholar
  5. 5.
    D.J. Evans and N. Yaacob (1995), A fourth order Runge-Kutta method based on the Heronian mean formula. International Journal of Computed Mathematics, 58, pp. 103–115.MATHGoogle Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • D. Paul Dhayabaran
    • 1
  • E.C.Henry Amirtharaj
    • 1
  • K. Murugesan
    • 2
  • D.J. Evans
    • 3
  1. 1.Reader in MathematicsBishop Heber CollegeTiruchirappalliIndia
  2. 2.Department of MathematicsNational Institute of TechnologyTiruchirappalliIndia
  3. 3.Nottingham Trent UniversityNottinghamUK

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