Dynamic optimal grasping of a circular object with gravity using robotic soft-fingertips

García-Rodríguez, R. ; Segovia-Palacios, V. ; Parra-Vega, V. ; Villalva-Lucio, M.

International Journal of Applied Mathematics and Computer Science, Tome 26 (2016) no. 2, pp. 309-323.

Résumé

Object manipulation usually requires dexterity, encoded as the ability to roll, which is very difficult to achieve with robotic hands based on point contact models (subject to holonomic constraints). As an alternative for dexterous manipulation, deformable contact with hemispherical shape fingertips has been proposed to yield naturally a rolling constraint. It entails dexterity at the expense of dealing with normal and tangential forces, as well as more elaborated models and control schemes. Furthermore, the essential feature of the quality of grasp can be addressed with this type of robot hands, but it has been overlooked for deformable contact. In this paper, a passivity-based controller that considers an optimal grasping measure is proposed for robotic hands with hemispherical deformable fingertips, to manipulate circular dynamic objects. Optimal grasping that minimizes the contact wrenches is achieved through fingertip rolling until normal forces pass through the center of mass of the object, aligning the relative angle between these normal forces. The case of a circular object is developed in detail, though our proposal can be extended to objects with an arbitrary shape that admit a local decomposition by a circular curvature. Simulation and experimental results show convergence under various conditions, wherein rolling and tangent forces become instrumental to achieve such a quality of grasp.

Détail

Keywords: dynamic grasping, soft fingertips, circular object

Bibliographie

[1] Akella, P. and Cutkosky, M. (1989). Manipulating with soft-fingers, IEEE International Conference on Robotics and Automation, Scottsdale, AZ, USA, pp. 767–769.

[2] Arimoto, S. (2007). Control Theory of Multi Fingered Hands, Springer-Verlag, London.

[3] Arimoto, S., Nguyen, P.T.A., Han, H.Y. and Doulgeri, Z. (2000). Dynamics and control of a set of dual fingers with soft tips, Robotica 18(1): 71–80.

[4] Baumgarte, J. (1971). Stabilization of constraints and integrals of motion in dynamical systems, Computer Methods in Applied Mechanics and Engineering 1: 1–16.

[5] Bogacki, P. and Shampine, L.F. (1989). A 3(2) pair of Runge–Kutta formulas, Applied Mathematics Letters 2(4): 321–325.

[6] Coelho, J.A. and Grupen, R. (1994). Optimal multifingered grasp synthesis, IEEE International Conference on Robotics and Biomimetics, San Diego, CA, USA, pp. 1937–1942.

[7] Cole, A., Hauser, J. and Sastry, S. (1989). Kinematics and control of multifingered hands with rolling contact, IEEE Transactions on Automatic Control 34(4): 398–404.

[8] Harada, K. and Kaneko, M. (2001). Rolling based manipulation under neighborhood equilibrium, IEEE International Conference on Robotics and Automation, Seoul, Korea, pp. 2492–2498.

[9] Ito, S., Mizukoshi, Y. and Sasaki, M. (2007). Numerical analysis for optimal posture of circular object grasped with frictions, IEEE/RSJ International Conference on Intelligent Robots and Systems, San Diego, CA, USA, pp. 2492–2498.

[10] Jia, Y.B. (2000). Grasping curved objects through rolling, IEEE International Conference on Robotics and Automation, San Francisco, CA, USA, pp. 377–382.

[11] Kim, B., Oh, S., Yi, B. and Suh, I.H. (2001). Optimal grasping based on non-dimensionalized performance indices, IEEE/RSJ International Conference on Intelligent Robots and Systems, Maui, HI, USA, pp. 949–956.

[12] Marigo, A. and Bichi, A. (2007). Rolling bodies with regular surface: Controllability theory and applications, IEEE Transactions on Automatic Control 45(9): 1586–1599.

[13] Nakashima, A., Nagase, K. and Hayakawa, Y. (2005). Simultaneous control of grasping/manipulation and contact points with rolling contact, 16th IFAC World Congress, Prague, Czech Republic, pp. 415–420.

[14] Nguyen, P.T.A., Ozawa, R. and Arimoto, S. (2006). Manipulation of a circular object by a pair of multi-DOF robotic fingers, IEEE/RSJ International Conference on Intelligent Robots and Systems, Beijing, China, pp. 5669–5674.

[15] Ozawa, R., Arimoto, S., Nguyen, P.T.A., Yoshida, M. and Bae, J.H. (2004). Manipulation of a circular object in a horizontal plane by two finger robots, IEEE International Conference on Robotics and Biomimetics, Shenyang, China, pp. 517–522.

[16] Ozawa, R., Arimoto, S., Nguyen, P.T.A., Yoshida, M. and Bae, J.H. (2005). Manipulation of a circular object without object information, IEEE/RSJ International Conference on Intelligent Robots and Systems, Edmonton, Alberta, Canada, pp. 1832–1838.

[17] Parra-Vega, V., Rodriguez-Angeles, A., Arimoto, S. and Hirzinger, G. (2001). High precision constrained grasping with cooperative adaptive handcontrol, Journal of Intelligent and Robotic Systems 32(3): 235–254.

[18] Salisbury, J. (1982). Kinematics and Force Analysis of Articulated Hands, Ph.D. thesis, Stanford University, Stanford, CA.

[19] Shapiro, A. (2001). Force closure set of linearly controlled grasps, Technical report, Technion Israel Institute of Technology, Haifa.

[20] Skrzypczyński, P. (2005). Uncertainty models of vision sensors in mobile robot positioning, International Journal of Applied Mathematics and Computer Science 15(1): 73–88.

[21] Song, S., Park, J. and Choi, Y. (2012). Dual-fingered stable grasping control for an optimal force angle, IEEE Transactions on Robotics 28(1): 256–262.

[22] Stramigioli, S. (2003). Modeling and IPC Control of Interactive Mechanical Systems—A Coordinate-free Approach, Lecture Notes in Control and Information Sciences, Vol. 266, Springer-Verlag, London.

[23] Wen, S. and Wu, T. (2012). Computation for maximum stable grasping in dynamic force distribution, Journal of Intelligent Robot Systems 68: 225–243.

[24] Wimboeck, T., Ott, C. and Hirzinger, G. (2006). Passivity-based object-level impedance control for a multifingered hand, IEEE/RSJ International Conference on Intelligent Robots and Systems, Beijing, China, pp. 4621–4627.