Port-hamiltonian modeling for soft-finger manipulation

In this paper, we present a port-Hamiltonian model of a multi-fingered robotic hand, with soft-pads, while grasping and manipulating an object. The algebraic constraints of the interconnected systems are represented by a geometric object, called Dirac structure. This provides a powerful way to describe the non-contact to contact transition and contact viscoelasticity, by using the concepts of energy flows and power preserving interconnections. Using the port based model, an Intrinsically Passive Controller (IPC) is used to control the internal forces. Simulation results validate the model and demonstrate the effectiveness of the port-based approach.

[1]  N. Hogan,et al.  Impedance Control:An Approach to Manipulation,Parts I,II,III , 1985 .

[2]  Stefano Stramigioli,et al.  Modeling the kinematics and dynamics of compliant contact , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[3]  Stefano Stramigioli,et al.  Variable spatial springs for robot control applications , 2001, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180).

[4]  P. V. Remoortere Physical systems theory in terms of bond graphs : P.C. Breedveld: Vakgroep Besturingsystemen en Computertechniek, THT, Afdeling Electrotechniek, Postbus 217, 7500 AE Enschede, The Netherlands. 1984, 200 pages, ISBN 90-9000599-4 , 1984 .

[5]  Neville Hogan,et al.  Impedance Control: An Approach to Manipulation: Part I—Theory , 1985 .

[6]  Stefano Stramigioli,et al.  Contact impedance estimation for robotic systems , 2004, IEEE Transactions on Robotics.

[7]  Neville Hogan,et al.  Impedance Control: An Approach to Manipulation , 1984, 1984 American Control Conference.

[8]  Stefano Stramigioli,et al.  Modeling and IPC Control of Interactive Mechanical Systems - A Coordinate-Free Approach , 2001 .

[9]  van der Arjan Schaft,et al.  On the Hamiltonian Formulation of Nonholonomic Mechanical Systems , 1994 .

[10]  Stefano Stramigioli,et al.  Port Based Modeling of Spatial Visco-Elastic Contacts , 2004, Eur. J. Control.

[11]  Vijay Kumar,et al.  Affine connections for the Cartesian stiffness matrix , 1997, Proceedings of International Conference on Robotics and Automation.

[12]  Gabriele Vassura,et al.  Differentiated layer design to modify the compliance of soft pads for robotic limbs , 2009, 2009 IEEE International Conference on Robotics and Automation.

[13]  Claudio Melchiorri,et al.  Modelling and Controlling the Compliance of a Robotic Hand with Soft Finger-pads , 2005, Multi-point Interaction with Real and Virtual Objects.