Fundamental tracking control algorithms of a differentially steered wheeled mobile robot with two conventional driven wheels are studied through analyzing the robot’s inherent kinematics. This includes the tracking variable assignment as well as the tracking singularity and position-orientation tracking decoupling problems. Globally convergent tracking control algorithms are proposed, which can exactly track any differentiable reference path. A fundamental motion orientation equation under the condition of exact position tracking is developed, and it is shown that it is not possible to exactly track both position and orientation concurrently for this kind of mobile robot configuration if the tracking point is not on the baseline. Examples are provided illustrating the tracking ability of the developed control algorithms.

1.
Alexander, J. C., and Maddocks, J. H., 1990, “On the Kinematics of Wheeled Mobile Robots,” Autonomous Robot Vehicles, I. J. Cox and G. T. Wifong, eds., Springer-Verlag, pp. 5–24.
2.
Boyden, D. and Velinsky, S. A., 1994, “Dynamic Modeling of Wheeled Mobile Robots for High Load Applications,” Proc. of the IEEE International Conference on Robotics and Automation, pp. 3071–3078.
3.
Brockett, R. W., 1983, “Asymptotic Stability and Feedback Stabilization,” Differential Geometric Control Theory, R. W. Brockett, R. R. Millman and H. J. Sussman, eds.), Birkhauser, Boston, pp. 181–191.
4.
Cox, I. J. and Wifong, G. T., 1990, Autonomous Robot Vehicles. Springer-Verlag.
5.
Hamdy, A. and Badreddin, E., 1992, “Dynamic Modeling of a Wheeled Mobile Robot for Identification, Navigation and Control,” Robotics and Flexible Manufacturing Systems, J. C. Gentina and S. G. Tzafestas, eds., Elsevier Science, North-Holland, pp. 119–128.
6.
Kanayama, Y., Nilipour, A., and Lelm, C., 1988, “A Locomotion Control Method for Autonomous Vehicles,” Proc. of the IEEE Conference on Robotics and Automation, Vol. 2, pp. 1315–1317.
7.
Kanayama, Y., Kimura, Y., Miyazaki, F., and Noguchi, T., 1990, “A Stable Tracking Control Method for an Autonomous Mobile Robot,” Proc. of the IEEE International Conference on Robotics and Automation, Vol. 1, pp. 384–389.
8.
Lee
S. S.
, and
Williams
J. H.
,
1993
, “
A Fast Tracking Error Control Method for an Autonomous Mobile Robot
,”
Rohotica
, Vol.
11
, pp.
205
215
.
9.
Muir
P. F.
, and
Neuman
C. P.
,
1987
, “
Kinematic Modeling of Wheeled Mobile Robots
,”
Journal of Robotic Systems
, Vol.
4
, No.
2
, pp.
281
340
.
10.
Samson, C. and Ait-Abderrahim, K., 1991, “Feedback Control of a Nonholonomic Wheeled Cart in Cartesian Space,” Proc. IEEE Int. Conference on Robotics and Automation, pp 1136–1141
11.
Walsh, G., Tilbury, D., Sastry, S., Murray, R., and Laumond, J. P., 1992, “Stabilization of Trajectories for Systems with Nonholonomic Constraints,” Proc. of the IEEE International Conference on Robotics and Automation, pp. 1999–2004.
12.
Winters, S. E., and Velinsky, S. A., 1992, “Development of a Tethered Mobile Robot (TMR) for Highway Maintenance,” AHMCT Research Report UCD-ARR-92-11-25-01, University of California at Davis.
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