Real-Time Forward Position Kinematics of the Spatial Parallel Manipulator

Abstract:

Aiming at online implementation, a real-time algorithm for forward position kinematics of the parallel manipulators is proposed, in which the steepest decent direction of the solution iteration is constructed with Jacobian matrix, with the initial position for iteration arbitrarily chosen from the workspace. Under the condition of motion continuity of the end-effector, the unique forward position kinematics solution can be found out with this algorithm. Forward position kinematics case studies of spatial parallel manipulators were conducted, which show that the algorithm has the advantages of a high precision, little iteration and less millisecond-level time consumption.

• Periodical: Advanced Materials Research (Volumes 712-715)
• Pages: 2241-2248
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.712-715.2241
• Online since: June 2013
• Authors: Jian Wei Mi, Li Du, Xue Chao Duan
• Keywords: Forward Position Kinematics, Jacobian Matrix, Parallel Manipulator, Real-Time Solution, Steepest Decent Algorithm

References

[1] B. Dasgupta, T S. Mruthyunjaya :The Stewart platform manipulator: a review. Mechanism and Machine Theory, Vol. 35(2000)No. 1,p.15.

DOI: 10.1016/s0094-114x(99)00006-3

[2] Z.Huang L.F. Kong Y.F. Fang:Mechanical Theory and Control of Parallel Manipulators(China Machine Press, China 1997).

[3] J. P.Merlet: Parallel Robots(Kluwer Academic Publishers,  Netherlands2000).

[4] L.Baron,J.Angeles :Direct kinematics of parallel manipulators under joint-sensor redundancy. IEEE Transactions on Robotics and Automation, Vol.16(2000)No.1,p.12.

DOI: 10.1109/70.833183

[5] Y.Chiu, M.Perng : Forward kinematics of a general fully parallel manipulator with auxiliary sensors. International Journal of Robotics Research, Vol.20(2001)No.5,p.401.

DOI: 10.1177/02783640122067462

[6] R.Boudreau :A real time solution to the forward kinematic problem of a general spherical three-degree-of-freedom parallel manipulator[J]. Transactions of the Canadian Society for Mechanical Engineering, Vol.21(1997)No.1,p.19.

DOI: 10.1139/tcsme-1997-0002

[7] C.S. Yee, K.B. Lim: Forward kinematics solution of Stewart Platform using Neural Networks. Neurocomputing,Vol.16( 1997)No.4,p.333.

DOI: 10.1016/s0925-2312(97)00048-9

[8] P.J. Parikh, S.S. Lam: A hybrid strategy to solve the forward kinematics problem in parallel manipulators. IEEE Transactions on Robotics, Vol. 21(2005) No.1,p.18.

DOI: 10.1109/tro.2004.833801

[9] Y.Wang: A direct numerical solution to forward kinematics of general Stewart-Gough platforms. Robotica,Vol.25( 2007)No.1,p.121.

DOI: 10.1017/s0263574706003080

[10] Z.Y. Feng, Y.G.Li, C.Zhang et al:Present State and Perspectives of Research on Kinematics and Dynamics of Parallel Manipulators. China Mechanical Engineering. Vol.17(2006) No.9,p.979.

[11] Y. X.Yuan, W.Y. Sun :Optimized Theory and Methods (Science Press, China 2003).