A new ball wheel design for fully mobile omnidirectional vehicles is presented. This ball wheel mechanism yields a unique vehicle design that is not only omnidirectional with no kinematic singularity but is configuration-invariant in kinematic behavior. Invariant kinematics greatly simplifies the control of smooth and precise vehicle motion. Multiple displacement sensors are easily incorporated into each ball wheel mechanism to enhance the accuracy of vehicle motion control. Two fundamental requirements of functioning ball wheel designs are established: one is the translational form closure requirement for holding a spherical tire, and the other is the non-overconstraint requirement to allow each ball to rotate in two directions. It is proved that a class of mechanisms in which a ball is held by rollers whose axes are fixed directly to the vehicle chassis cannot satisfy the fundamental requirements. A class of modified mechanisms are then analyzed and the necessary and sufficient conditions for the modified mechanisms the fundamental requirements are obtained. For this class of ball wheels (Class 1), conditions for configuration-invariant kinematics are found and two possible actuation schemes are discussed. Two prototype vehicles have been built: both have three Class 1 ball wheels but each uses a different actuation scheme. Performance data of the two prototypes are compared. Both achieve smooth motion and precise dead reckoning.

1.
Alexander, J. C., and Maddocks, J. H., “On the Kinematics of Wheeled Mobile Robots,” Int. Journal of Robotics Research, Vol. 8, No. 5, October 1989.
2.
Evans, D. F., “Non Wire Guidance: System Flexibility Is What Counts”, 6th Int. Conference on Automated Guided Vehicle Systems, October 1988.
3.
Hammond, G., A.G.V.’s at Work, I. F. S. Publications, 1986.
4.
Hirose, S., and Amano, S., “The VUTON: High Payload High Efficiency Holonomic Omni-Directional Vehicle,” 6th Int. Symposium on Robotics Research, October 1993.
5.
Hon, B. E., “Wheels for a Course Stable Selfpropelling Vehicle Movable in any Desired Direction on the Ground or Some Other Base,” U.S. Patent No. 3.876,255, 1975.
6.
Killough, S. M., and Pin, F. G., “Design of an Omnidirectional and Holonomic Wheeled Platform Prototype,” IEEE Int. Conference on Robotics and Automation, May 1992.
7.
Lakshminarayana, K., “Mechanics of Form Closure,” ASME Paper 78-DET-32, 1978.
8.
Muir, P. F., and Neuman, C. P., “Kinematic Modeling of Wheeled Mobile Robots,” Journal of Robotic Systems, 4, 1987a.
9.
Muir, P. F., and Neuman, C. P., “Kinematic Modeling for Feedback Control of an Omnidirectional Wheeled Mobile Robot,” IEEE Int. Conference on Robotics and Automation, March 1987b.
10.
Newell, W. H., “Ball Caster,” U.S. Patent No. 2,451,353, 1948.
11.
Premi, S. K., and Besant, C. B., “A Review of Various Guidance Techniques that can be used by Mobile Robots or AGVS,” 2nd Int. Conference on Automated Guided Vehicle Systems, June 1983.
12.
West, M., and Asada, H., “Design of a Holonomic Omnidirectional Vehicle,” I.E.E.E. Int. Conference on Robotics and Automation, May 1992.
13.
Wiklund, U., Andersson, U., and Hyyppa¨, K., “AGV Navigation by Angle Measurements,” 6th Int. Conference on Automated Guided Vehicle Systems, October 1988.
This content is only available via PDF.
You do not currently have access to this content.