Minimum jerk motion planning for a prosthetic finger

In this paper we propose a method, based on both physiologic and engineering considerations, for the motion planning of a prosthetic finger. In particular, we exploit a minimum jerk approach to define the trajectory in the Cartesian space. Then, cubic splines are adopted in the joint space. The redundancy problem arising from the presence of three links is solved by assuming that there is a constant ratio between the second and the third joint motion. The value of the proportional constant is determined by minimizing the maximum jerk in the joint space. It is found that this constant value can be suboptimally but effectively set to one for all the movements. This approach guarantees a natural movement of the finger as well as reduced vibrations in the mechanical structure and increased control performances. © 2004 Wiley Periodicals, Inc.

[1]  K. Rim,et al.  Maximum Finger Force Prediction Using a Planar Simulation of the Middle Finger , 1990, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[2]  John J. Craig Zhu,et al.  Introduction to robotics mechanics and control , 1991 .

[3]  J W Garrett,et al.  The Adult Human Hand: Some Anthropometric and Biomechanical Considerations , 1971, Human factors.

[4]  P. Hahn,et al.  Quantitative Analysis of the Linkage between the interphalangeal Joints of the Index Finger , 1995, Journal of hand surgery.

[5]  Masaaki Honda,et al.  Kinematic construction of the trajectory of sequential arm movements , 1999, Biological Cybernetics.

[6]  Kostas J. Kyriakopoulos,et al.  Minimum jerk path generation , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[7]  C. Lin,et al.  Formulation and optimization of cubic polynomial joint trajectories for industrial robots , 1983 .

[8]  W. L. Nelson Physical principles for economies of skilled movements , 1983, Biological Cybernetics.

[9]  E. Bizzi,et al.  A neural network model for limb trajectory formation , 1989, Biological Cybernetics.

[10]  Réjean Plamondon,et al.  A kinematic theory of rapid human movements , 1995, Biological Cybernetics.

[11]  C. Harris,et al.  The functional anatomy of the extensor mechanism of the finger. , 1972, The Journal of bone and joint surgery. American volume.

[12]  I. Kapandji The Physiology of the Joints , 1988 .

[13]  Dan Simon The application of neural networks to optimal robot trajectory planning , 1993, Robotics Auton. Syst..

[14]  T. Flash,et al.  The coordination of arm movements: an experimentally confirmed mathematical model , 1985, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[15]  C. Harris,et al.  The Functional Anatomy of the Extensor Mechanism of the Finger , 1972 .

[16]  Aurelio Piazzi,et al.  Global minimum-jerk trajectory planning of robot manipulators , 2000, IEEE Trans. Ind. Electron..

[17]  M J Hines,et al.  A dynamic model for finger interphalangeal coordination. , 1988, Journal of biomechanics.

[18]  Claudio Melchiorri,et al.  Implementation of whole-hand manipulation capability in the UB hand system design , 1994, Adv. Robotics.

[19]  J Mizrahi,et al.  A biomechanical model of index finger dynamics. , 1995, Medical engineering & physics.

[20]  M. A. Arbib,et al.  Models of Trajectory Formation and Temporal Interaction of Reach and Grasp. , 1993, Journal of motor behavior.