Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-16T03:25:59.506Z Has data issue: false hasContentIssue false

Stability of Two-Dimensional Blind Grasping under the Gravity Effect and Rolling Constraints

Published online by Cambridge University Press:  01 May 2008

S. Arimoto*
Affiliation:
RIKEN, Bio-Mimetic Control Research Center, Nagoya, Aichi, 463-0003Japan
M. Yoshida
Affiliation:
RIKEN, Bio-Mimetic Control Research Center, Nagoya, Aichi, 463-0003Japan
J.-H. Bae
Affiliation:
Pohang Institute of Intelligent Robotics, San 31, Hyoja-Dong, Nam-Gu, Pohang, Gyeongbuk 790-784, S. Korea.
*
*Corresponding author. E-mail: [email protected]

Summary

This paper aims to show a sensory-motor coordination control scheme that realizes stable pinching of rigid objects with parallel or nonparallel flat surfaces movable in 2-dimensional vertical plane by a pair of robot fingers with hemispherical ends. The proposed control signal is composed of gravity compensation for fingers, damping shaping, exertion of forces to the object from opposite directions, generation of moments for balancing of rotational moments, and regressors for estimating unknown steady-state terms, all of which neither need the knowledge of object parameters nor use any object sensing data. In other words, stable grasping can be realized by using only finger-joint sensing in a blind manner without using force sensors or tactile sensing. Stability of pinching motion with convergence to the state of force/torque balance is shown through computer simulations and is also proved theoretically.

Type
Article
Copyright
Copyright © Cambridge University Press 2007

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Bicchi, A., “Hands for dexterous manipulation and robust grasping: A difficult road toward simplicity,” IEEE Trans. Rob. Autom. 16 (6), 652662 (2000).Google Scholar
2.Murray, R. M., Li, Z., and Sastry, S. S., A Mathematical Introduction to Robotic Manipulation (CRC Press. Boca Raton, FL. USA and Tokyo. Japan, 1994).Google Scholar
3.Arimoto, S., Tahara, K., Bae, J.-H., and Yoshida, M., “A stability theory on a manifold: Concurrent realization of grasp and orientation control of an object by a pair of robot fingers,” Robotica 21 (2), 163178 (2003).Google Scholar
4.Arimoto, S., Yoshida, M., Bae, J.-H., and Tahara, K., “Dynamic force/torque balance of 2D polygonal objects by a pair of rolling contacts and sensory-motor coordination,” J. Robot. Syst. 20 (9), 517537 (2003).Google Scholar
5.Arimoto, S., “Intelligent control of multi-fingered hands,” Annu. Rev. Control 28 (1), 7585 (2004).Google Scholar
6.Arimoto, S., Bae, J.-H., Hashiguchi, H., and Ozawa, R., “Natural resolution of ill-posedness of inverse kinematics for redundant robots under constraints,” Comm. Inf. Syst. 4 (1), 128 (2004).Google Scholar
7.Ozawa, R., Arimoto, S., Yoshida, M., and Nakamura, S., “Stable grasping and relative angle control of an object by dual finger robots without object sensing,” Proceedings of the 2004 IEEE International Conference on Robotics and Automation, New Orleans, LA, USA (Apr. 26–May 1, 2004) pp. 1694–1699.Google Scholar
8.Latash, M. L., Neurophysiological Basis of Movement (Human Kinetics, Champaign, IL. USA, 1998).Google Scholar
9.Mackenzie, C. L. and Iberall, T., The Grasping Hand, Advances In Psychology 104 (Elsevier Science Ltd. New York, NY. USA, 1994).Google Scholar
10.Baumgarte, J., “Stabilization of constraints and integrals of motion in dynamical systems,” Comput. Meth. Appl. Mech. Eng. 1 (1), 116 (1972).Google Scholar
11.Arimoto, S., Control Theory of Non-Linear Mechanical Systems: A Passivity-Based and Circuit-Theoretic Approach (Oxford Univ Press, Oxford, UK, 1996).Google Scholar
12.Arimoto, S., Yoshida, M., and Ozawa, R., “Pinching without object information under the gravity effect,” Proceedings of the 22nd Annual Conference of the RSJ (in Japanese), Gifu, Japan (Sept. 15–17, 2004) 2J13.Google Scholar
13.Arimoto, S., Yoshida, M., and Bae, J.-H., “Stable “blind grasping” of a 3-D object under non-holonomic constraints,” Proceedings of the 2006 IEEE International Conference on Robotics and Automation, Orlando, Florida, USA. (May 15–19, 2006) pp. 2124–2130.Google Scholar
14.Arimoto, S., Yoshida, M., and Bae, J.-H., “Modeling of 3-D object manipulation by multi-joint robot fingers under non-holonomic constraints and stable blind grasping”, in a special issue on ACMD' 06, JSME J. of System Design and Dynamics 1 (3), (to be published) 2007.Google Scholar
15.Arimoto, S., Yoshida, M., Bae, J.-H., “Stability of 3D-object grasping under non-holonomic constraints and the gravity,” Proceedings of 8th International IFAC Symposium on Robot Control, Bologna, Italy (Sept. 6–8, 2006) R-046.CrossRefGoogle Scholar