Lagrange Dynamic Modeling of a Multi-Fingered Robot Hand in Free Motion Considering the Coupling Dynamics


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Multi-fingered robot hands have been one of the major research topics because several robotic systems, including service robots, industrial robots and wheel-type mobile robots require grasping and manipulation of a variety of objects as crucial functionalities. Roughly speaking, there are two different types of robotic behavior: free motion, purpose of this paper and constrained motion that would be published in the near future. In this paper, we address the problem of multi-fingered robot hand’s dynamic modeling which is fundamental in design of model-based controllers for grasping and manipulation tasks. Based on the specified multi-fingered robot hand, a new methodology for deriving an efficient dynamic equation by the Lagrange formulation is presented. This methodology is new in the sense that it considers the coupling dynamics of the system in the identification of the parameters of the dynamic equation. Furthermore the developed dynamic model leads to decoupling dynamic characteristics, by which the control of different parts of the system can be separately simulated. So the new structure of the dynamic model was very useful and effective for the simulation and the diagnostic. Several simulation results proved that the derived dynamic model can predict the motion of the multi-fingered hand in free motion.



Advanced Materials Research (Volumes 588-589)

Edited by:

Lawrence Lim




R. Boughdiri et al., "Lagrange Dynamic Modeling of a Multi-Fingered Robot Hand in Free Motion Considering the Coupling Dynamics", Advanced Materials Research, Vols. 588-589, pp. 1659-1663, 2012

Online since:

November 2012




[1] J. Butterfass, M. Grebenstein, H. Lieu, and G. Hirzinger, DLR-Hand II: Next Generation of Dexterous Robot Hand, in Proc. IEEE International Conference on Robotics and Automation, (2001), pp.109-114.


[2] S. Ueki, H. Kawasaki, and T. Mouri, Adaptive Coordinated Control of Multi-Fingered Robot Hand, Journal of Robotics and Mechatronics, vol. 21, no. 1, (2009).


[3] F. Cordella , L. Zollo, E. Guglielmelli, and B. Siciliano, An approach for optimal grasp determination and finger trajectory planning of a robotic hand by imitating human behavior, 1st International Conference on Applied Bionics and Biomechanics, Venezia, Italy, October (2010).

[4] M. R. Cutkosky and I. Kao, Computing and controlling the compliance of a robotic hand, IEEE Trans. Robot. Automat., vol. 5, (1989), p.151–165.


[5] V. Lippiello, B. Siciliano, and L. Villani, Fast multifingered grasp synthesis based on object dynamic properties, 2010 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, Montréal, Canada, ( 2010).


[6] S. Arimoto, K. Tahara, J. -H. Bae, and M. Yoshida, A stability theory on a manifold: concurrent realization of grasp and orientation control of an object by a pair of robot fingers, Robotica, vol. 21, (2003), p.163–178.


[7] E.A. Al-Gallaf, Multi-fingered robot hand optimal task force distribution Neural inverse kinematics approach, Robotics and Autonomous Systems, vol. 54, (2006), p.34–51.


[8] C. Walha, H. Bezine, N.K. M'Sirdi, A. Naamane, A.M. Alimi « HandGrasp : A new Simulation for human Grasping » IEEE International Conference on Robotics and autonomation (ICRA'11) Shanghai, Chine (2011).

[9] W. Khalil, G. Venture, and M. Gautier, Dynamic modeling and identification of a car, IFAC, (2002).

[10] N.K. M'sirdi, A. Rabhi, N. Zbiri, and Y. Delanne, VRIM: Vehicle Road Interaction Modeling for Estimation of Contact Forces, TMVDA 04. 3rd Int. Tyre Colloquium Tyre Models For Vehicle Dynamics Analysis, Austria, (2004).