Forward Kinematics of Parallel Robot Based on Neuro-Fuzzy System

Abstract:

As the structure of parallel robot is special in general mechanical and electrical systems, its forward kinematics needs to be solved by nonlinear equations. In this paper, for the issue that numerical iterative method requires complex mathematical derivation and programming, and is sensitive to the initial value, a Neuro-fuzzy system is proposed for solving forward kinematics model of parallel robot. Meanwhile, inverse kinematics is used for training database, knowledge representation ability of fuzzy theory and self-learning ability of neural network are combined to overcome the shortcomings that neural network cannot express human language and fuzzy system do not have self-learning ability. In addition, training and generation efficiency of the model can also be improved by reducing the input dimension reasonably. Simulation results have been showed that, in the premise of efficiency, accuracy of forward kinematics model using Neuro-fuzzy system is better than Newton-Raphson iterative method, and has better versatility.

• Periodical: Applied Mechanics and Materials (Volume 470)
• Pages: 636-643
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.470.636
• Online since: December 2013
• Authors: Xiang Wu*, Zu De Zhou, Qing Song Ai, Wei Meng
• Keywords: Forward Kinematics, Neuro-Fuzzy System, Parallel Robot

References

[1] F.Y. Han. The research on novel forward kinematics numerical algorithm and workspace ontology for parallel robot [D]. 2011, Jilin University.

[2] X.L. Ma, A.H. Chen, X.L. Zhang, et al. Progress in the innovation and application of parallel robot mechanism [J]. Machine Tool & Hydraulics, 2007, 35(2): 235-237+243.

[3] H. Zhang, Q.M. Wang, P. Ye, et al. Forward kinematics of general Stewart platform and the application [J]. Chinese Journal of Mechanical Engineering, 2002, 38(S1): 108-112.

DOI: 10.3901/jme.2002.supp.108

[4] P. Nanua, K.J. Waldron, V. Murthy. Direct kinematic solution of a Stewart platform [J]. IEEE Transactions on Robotics and Automation, 1990, 6(4): 438-444.

DOI: 10.1109/70.59354

[5] K.H. Hunt, E.J.F. Primrose. Assembly configurations of some parallel-actuated manipulators [J]. Mech. Mach. Theory, 1993, 28(1): 31-42.

DOI: 10.1016/0094-114x(93)90044-v

[6] B. Dasgupta, T.S. Mruthyunjaya. Canonical formulation of the direct position kinematics problem for a general 6-6 Stewart platform [J]. Mech. Mach. Theory, 1994, 29(6): 819-827.

DOI: 10.1016/0094-114x(94)90081-7

[7] S.V. Sreenivasan, P. Nanua. Solution of the direct position kinematic problem of the general Stewart platform using advanced polynomial continuation[C]. The 22nd Biennial Mechanisms conference, 1992, Scottsdale , New York, ASME, 1992: 99-106.

DOI: 10.1115/detc1992-0203

[8] X.G. Huang, Q.Z. Liao, S.M. Wei. Forward displacement analysis of Stewart platform robot [J]. Electric Machines and Control, 2009, 13(S1): 105-108.

[9] S. Liu, W.L. Li, Y.C. Du, et al. Forward kinematics of the Stewart platform using genetic neural algorithm [J]. Journal of Harbin Engineering University, 2006. 27(z1): 79-82.

[10] D. Zhang, Z. Gao. Forward kinematics performance analysis and multi-objective optimization of a bio-inspired parallel manipulator [J]. Robotics and Computer-Integrated Manufacturing, 2012, 28(4): 484-492.

DOI: 10.1016/j.rcim.2012.01.003

[11] Y.X. Wang, Y.M. Wang, L. Yang, et al. Direct displacement and configurations analyses of symmetrical Stewart platform mechanisms [J]. China Mechanical Engineering, 2002, 13(09): 734-737.

[12] C.H. Liu, K. Huang and Y. Wang. Forward position analysis of 6-3 Linapod parallel manipulators [J]. Springer. Meccanica, 2012, 47(5): 1271-1282.

DOI: 10.1007/s11012-011-9511-4

[13] C.Q. Wang, H.T. Wu. Kinematics Analysis of 6-PUS Parallel Mechanism [J]. China Mechanical Engineering, 2013, 24(07): 853-856.

[14] X.M. Shi, Z.Q. Hao, Fuzzy control and MATLAB simulation [M]. Beijing: Beijing Jiaotong University Press, (2008).

[15] P.K. Jamwal, et al. Forward kinematics modelling of a parallel ankle rehabilitation robot using modified fuzzy inference [J]. Mechanism and Machine Theory, 2010, 45(11): 1537-1554.

DOI: 10.1016/j.mechmachtheory.2010.06.017