Direct Kinematics Problem of Parallel Robot Based on LS-SVM

Although parallel robot is widely used on many fields now, it is still a fascinating problem of kinematics solution of parallel robot. Using common methods involves the solving a series of simultaneous non-linear equations and, usually, non-unique, multiple sets of solutions are obtained from one set of data. Here a method based on LS-SVM is presented, the proposed method is applied to the parallel robot and satisfactory results are obtained. It proves that the method is feasible and effective. The results show that this approach can be used for the on-line control of parallel manipulators

[1]  G. Josin Neural-space generalization of a topological transformation , 2004, Biological Cybernetics.

[2]  Vladimir N. Vapnik,et al.  The Nature of Statistical Learning Theory , 2000, Statistics for Engineering and Information Science.

[3]  S. V. Sreenivasan,et al.  Solution of the direct position kinematics problem of the general Stewart platform using advanced polynomial continuation , 1992 .

[4]  M. Eghtesad,et al.  Neural network solution for the forward kinematics problem of a redundant hydraulic shoulder , 2005, 31st Annual Conference of IEEE Industrial Electronics Society, 2005. IECON 2005..

[5]  D. Stewart A Platform with Six Degrees of Freedom , 1965 .

[6]  Kenneth J. Waldron,et al.  Direct kinematic solution of a Stewart platform , 1990, IEEE Trans. Robotics Autom..

[7]  Johan A. K. Suykens,et al.  Weighted least squares support vector machines: robustness and sparse approximation , 2002, Neurocomputing.

[8]  Jean-Pierre Merlet,et al.  Direct kinematics of parallel manipulators , 1993, IEEE Trans. Robotics Autom..

[9]  L. Haynes,et al.  Neural network solution for the forward kinematics problem of a Stewart platform , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[10]  R. W. Daniel,et al.  A fast, robust solution to the Stewart platform forward kinematics , 1996, J. Field Robotics.

[11]  B. Dasgupta,et al.  A general strategy based on the Newton-Euler approach for the dynamic formulation of parallel manipulators , 1999 .

[12]  Peter Ross McAree,et al.  A fast, robust solution to the Stewart platform forward kinematics , 1996 .