SEMI-INFINITE PROGRAMMING TO SOLVE ARMED ROBOT TRAJECTORY PROBLEM USING RECURRENT NEURAL NETWORK

Alaeddin Malek, Leila Jafarian-Khaled Abad, and Samaneh Khodayari-Samghabadi

References

  1. [1] A. Gasparetto and V. Zanotto, Optimal trajectory planning for industrial robots, Advances in Engineering Software, 41(4), 2010, 548–556.
  2. [2] A. Gasparetto and V. Zanotto, A technique for time-jerk optimal planning of robot trajectories, Robotics and ComputerIntegrated Manufacturing, 24 (3), 2008, 415–426.
  3. [3] R. Hettich and K.O. Kortanek, Semi-infinite programming: theory, methods and applications, Journal-SIAM Review, 35, 1993, 380–429.
  4. [4] A.I.F. Vaz, E.M.G.P. Fernandes, and M.P.S.F. Gomes, NSIPS: 117 nonlinear semi-infinite programming solver, Technical Report, 2004.
  5. [5] R. Hettich, An implementation of a discretization method for semi-infinite programming, Mathematical Programming, 34(3), 1986, 354–361.
  6. [6] M. L´opez and G. Still, Semi-infinite programming, European Journal of Operational Research, 180(2), 2007, 491–518.
  7. [7] M.A. Goberna and M.A. L´opez, Linear semi-infinite optimization (New York: John Wiley & Sons, 1998).
  8. [8] H. Yang, W. Wang, and J. Sun, Control point adjustment for B-spline curve approximation, Journal Computer-Aided Design, 36(7), 2004, 639–652.
  9. [9] A.I.F. Vaz, E.M.G.P. Fernandes, and M. Gomes, Robot trajectory planning with semi-infinite programming, European Journal of Operational Research, 153(3), 2004, 607–617.
  10. [10] S.P. Marin, Optimal parametrization of curves for robot trajectory design, IEEE Transactions on Automatic Control, 23(2), 1998, 209–214.
  11. [11] M.H. Chi, Linear semi-infinite and nondifferentiable programming methods for robot trajectory planning problems, Ph.D. thesis, University of Iowa, 1991.
  12. [12] R.L. Burden and J.D. Faires, Numerical analysis (Boston, MA: PWS Publishing Company, 1993).
  13. [13] G. Still, Discretization in semi-infinite programming: the rate of convergence, Mathematical Programming Series A, 91, 2001, 53–69.
  14. [14] R. J. Vanderbei, Linear programming: foundations and extensions (New York: Springer, 2008).
  15. [15] A. Malek and A. Yari, Primal-dual solution for the linear programming problems using neural networks, Applied Mathematics and Computation, 167(1), 2005, 198–211.
  16. [16] K.V. Nguen, A nonlinear neural network for solving linear programming problems, ISMP-2000, 17th Int. Symp. on Mathematical Programming, 2000, 7–11.
  17. [17] A.I.F. Vaz, Applications, methods and tools for nonlinear semi-infinite programming, Ph.D. thesis, University of Minho, 2003.

Important Links:

Go Back