Modifying a Conventional Grasping Control Approach for Undesired Slippage Control in Cooperating Manipulator Systems

Document Type: Original Article


1 Isfahan University of Technology

2 Shahrekord University


There have been many researches on object grasping in cooperating systems assuming no object slippage and stable grasp and the control system is designed to keep the contact force inside the friction cone to prevent the slippage. However undesired slippage can occur due to environmental conditions and many other reasons. In this research, dynamic analysis and control synthesis of a cooperating system, considering slipping conditions are performed. Equality and inequality equations of the frictional contact conditions are replaced by a single second order differential equation with switching coefficients in order to facilitate the dynamical modeling and control synthesis. Using this new modeling of friction, a conventional approach in grasping control is modified and presented to control any undesired slippage of the end-effectors on the object.


F.Reuleaux, Theoretische Kinematik. Translated as Kinematics of Machinery,New York: Dover, 1875.

J. K. Salisbury and B. Roth, “Kinematic and force analysis of articulated mechanical hands”, ASME J. Mech. Transmissions Automat. Des., vol. 105, no. 1,, pp.35–41, 1983.

Y. H. Liu, “Qualitative test and force optimization of 3-D frictional form closure grasps using linear programming”, IEEE Trans. Robot. Automat., vol. 15, pp. 163–173, 1999.

Y. Zheng and W. H. Qian, “An Enhanced Ray-Shooting Approach to Force-Closure Problems”, Journal of Manufacturing Science and Engineering, vol. 128, no. 4, pp. 960–968, 2006.

G. Liu, J. Xu, X. Wang and Z. Li, "On Quality Functions for Grasp Synthesis, Fixture Planning, and Coordinated Manipulation", IEEE Trans. On Automation Science and Engineering, vol. 1, no. 2, pp.146-162, 2004.

X. Zhu and H. Ding, “Computation of Force-Closure Grasps: An Iterative Algorithm”, IEEE Trans. on Robotics, vol. 22, no. 1, pp. 172-179, , 2006.

A. Morales, P. J. Sanz, A. P. del Pobil and A. H. Fagg, “Vision-based three-finger grasp synthesis constrained by hand geometry, Robotics and Autonomous Systems, vol. 54, no. 6, pp. 496-512, 2006.

M. Yashima and T. Yamawaki, “Task-Oriented Accuracy Measure for Dexterous Manipulation”, Proceedings of the IEEE International Conference on Robotics and Biomimetics, Bangkok, Thailand, February, pp. 21 - 26, 2009.

X. Z. Zheng, R. Nakashima and T. Yoshikawa, “On Dynamic Control of Finger Sliding and Object Motion in Manipulation with Multi-Fingered Hands”, IEEE Transactions on Robotics and Automation, vol. 16, no. 5, pp. 469-481, 2000.

A. A. Cole, P. Hsu and S. S. Sastry, “Dynamic Control of Sliding by Robot Hands for regrasping, IEEE Transactions on Robotics and Automation, vol. 8, no. 1, pp.42-52, 1992.

I. Kao and M. R. Cutkosky, “Comparison of Theoretical and Experimental Force/Motion Trajectories for Dextrous Manipulation with Sliding”, Int. J. of Robotics Research, vol. 12, no. 6, pp.529-534, 1993.

N. Y. Chong, D. Choi and Il. H. Suh, “A Generalized Motion Force Planning Strategy for Multi-Fingered Hands Using Both Rolling and Sliding Contacts”, Proc. of IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, Yokohama, Japan, July, pp. 113-120, 1993,.

S. Hadian Jazi, M. Keshmiri and F. Sheikholeslam,” A New Approach on Dynamic Analysis and Control Synthesis of Object Grasping by Manipulators”, Proc. Of IASTEAD Conf. on Modeling and Simulation, , Montreal, Quebec, Canada, may, pp.149-154, 2007.

S. Hadian Jazi, M.Keshmiri, and F. Sheikholeslam, “Dynamic analysis and control synthesis of grasping and slippage of an object manipulated by a robot”, Advanced Robotics, vol. 22, no. 13-14, pp.1559-1584, 2008.

Y. Nakamura, Advanced Robotics: Redundancy and Optimization, Addison-Wesley Publishing Company, 1991.